面向板形板厚控制的轧机系统动态建模及仿真研究
|
摘要
板形和板厚精度是衡量板带材质量的重要指标。轧机系统是复杂的多变量非线性系统,其动力学特性非常复杂,且对板形板厚质量有很大影响。目前对板厚系统的研究主要是单项和局部的研究,针对轧机整体系统动态模型研究很少;对板形系统的研究,主要是基于静态预设定理论的研究,对面向板形板厚控制的轧机系统动态建模和仿真的研究很少。本文面向板厚和板形控制,对轧机系统动态建模进行了深入的理论研究和仿真验证。
考虑轧制过程中各参量间复杂的关系,建立了面向板厚控制的轧机机电液系统动力学模型。模型包括轧制过程动态模型、机架辊系动态模型和液压压下系统模型三个子模型。各模型之间相互耦合,相互影响,是一有机整体。根据三者的内在联系,建立其耦合模型,并将其线性化,得到面向板厚控制的轧机系统多输入多输出线性化动态模型。该模型从轧机主体全局角度建模,区别于以往主要针对轧机系统单项和局部模型的研究。
基于建立的板厚控制系统线性化动态模型,采用H_∞混合灵敏度简化算法,为电液IGC系统设计了鲁棒控制器;基于H_∞标准控制,采用遗传算法,优化选取了加权函数,使加权函数的选取不再过分依赖设计者的经验;为基于测厚仪监控的厚度控制闭环设计了鲁棒控制器。仿真结果表明,所设计的鲁棒控制器具有较好的动态性能,比常规PID控制器具有更好的抗干扰性能和鲁棒性,证明了所设计控制器的有效性。
建立面向板形板厚控制的轧机系统动力学模型,必须建立包括轧制方向、轧机垂直方向和轧辊轴向(轧件宽度方向)的动力学模型,其中考虑轧辊轴向非线性特性的动力学模型是关键。本文将轧辊看作弹性连续体,区别于以往将轧辊看作刚性质点的理论,基于连续体动力学理论,建立四辊轧机辊系横向自由振动模型和受迫振动模型。求解了辊系的固有频率、主振型和振动方程;研究了不同受力形式下,辊系的动态特性,并进行了仿真分析。该模型是建立面向板形板厚控制的轧机动态仿真模型的基础。
轧机的整体动态性能,不仅与轧机本身的动力学特性有关,还与轧制过程中运动带钢动态特性相关。本文基于运动梁理论和运动薄板理论,分别建立了轧制过程中运动板带的二维和三维动力学模型;基于轧制理论,确定了带钢的张力方程和张应力分布方程。将带钢张力方程和张应力分布方程与运动板带二维动力学模型和三维动力学模型结合。基于Galerkin截断方法,将动力学偏微分方程离散。确定了运动板带系统的固有频率及其影响因素,研究了轧制过程中运动带钢的稳定性,并对其进行实时仿真。
建立面向板形板厚控制的轧机系统动态仿真模型。首先,建立轧机辊系横向振动模型和轧制过程模型的耦合动态模型(简称为耦合动态模型)。然后,建立轧件-辊系耦合模型,用于修正补偿耦合动态模型。最后,兼顾动态模型和静态模型特点,基于数值算法,将耦合动态模型和轧件-辊系模型耦合,得到基于板形板厚控制的轧机系统动态模型,并进行了仿真分析。该模型可对轧制过程进行模拟,能反映板形板厚综合动态信息,为虚拟轧制提供理论基础,并为先进控制理论应用提供平台。
本文基于动力学理论,建立了面向板形板厚控制的轧机系统动力学模型理论体系。突破传统的静态建模理论,发展了轧制理论,对于推动轧钢机械系统动态建模,开发新的板带轧制工艺和设备,具有重要的理论意义和实用价值。
The shape and thickness qualities of the strip are very important indexes, and the rolling mill system is a complex multivariable nonlinear system, the dynamic characteristics of the rolling mill are complex which have strong influence on the shape and thickness qualities. At present, the studies on the strip thickness system mainly concentrated on the individual items and partial items, and the study on the integral mill system based on thickness control is rare; the studies on the strip shape system mainly concentrated on the static shape preset theory, and the study on the mill dynamic model and simulation based on shape control is rare. So that, based on thickness and shape control, the dynamic model building theory and simulation of mill system was deeply studied.
Take the complex relationship of parameters in the rolling process into consideration, the integral dynamic model of 4-h mill based on thickness control was built. The dynamic model includes the rolling process model, the dynamic model of mill stand-rolls and the dynamic model of hydraulic servo system. The three models coupled together and are a organic whole. According to the relationship among the three models, the coupled model was established and linearized. Then, the MIMO transfer function of 4-h mill system was established. This model is different from the individual items and partial items of mill system, but it was built from the global perspective.
Based on the linearized dynamic model based on thickness control, the robust controller was designed for the electro-hydraulic system based on the simplified H_∞mixed sensitivity method. The H_∞robust controller is designed for the thickness control system based on the mixed sensitivity robust control theory. Simulation results and comparison with the effect of PID controller show that the robust controller designed has better disturbance attenuation performance for parameter uncertainty and external disturbance, and the effective of the controller was approved.
In order to build the dynamic model of mill system based on shape control, the dynamic models which include the rolling direction, the vertical direction and the axial direction of rolls must be built firstly. In this paper, the rolls were taken as elastic continuous bodies, which was different from the theory taking the rolls as lumped masses. The free and forced transverse vibration models of rolls were built based on continuous body dynamic theory. The natural frequency, principal mode and motion equations were determined; the dynamic characteristics of rolls were studied when the rolls were acted by different forces, and the simulation was made. This model is the basic model of the dynamic model based on shape control.
The integral dynamic performance of tandem rolling mill is not influenced by the dynamic of rolling mill, but influenced by the moving strip. The two dimensional model and three dimensional model of moving strip in the rolling process was established based on moving beam theory and moving sheet theory respectively. Then, substitution of the tension equation and stress distribution equation into the two dimensional dynamic model and three dimensional dynamic model, based on Galerkin truncation method, the partial differential equation was discrete. The natural frequencies of moving strip are determined. The stability of moving strip was studied and the simulation in time domain was made.
The dynamic model of rolling mill system based on the shape and thickness control was established. First, the coupled model of rolling process and transverse vibration model of rolls was built (here simply called coupled dynamic model). Then, the srip-rolls coupled static model was built and used to compensate the dynamic model. Last, considering the characteristics of static model and dynamic model, coupled the dynamic model and static model, based on numerical method, the dynamic model of rolling mill based on shape and thickness control was established and the simulation was made.
The theory system of dynamic model building of rolling mill based on shape and thickness control was established in this paper. The static model building theory was broken, and the rolling theory was developed. It is significant for developing the dynamic model building of rolling equipment, developing new rolling technology and equipment.
考虑轧制过程中各参量间复杂的关系,建立了面向板厚控制的轧机机电液系统动力学模型。模型包括轧制过程动态模型、机架辊系动态模型和液压压下系统模型三个子模型。各模型之间相互耦合,相互影响,是一有机整体。根据三者的内在联系,建立其耦合模型,并将其线性化,得到面向板厚控制的轧机系统多输入多输出线性化动态模型。该模型从轧机主体全局角度建模,区别于以往主要针对轧机系统单项和局部模型的研究。
基于建立的板厚控制系统线性化动态模型,采用H_∞混合灵敏度简化算法,为电液IGC系统设计了鲁棒控制器;基于H_∞标准控制,采用遗传算法,优化选取了加权函数,使加权函数的选取不再过分依赖设计者的经验;为基于测厚仪监控的厚度控制闭环设计了鲁棒控制器。仿真结果表明,所设计的鲁棒控制器具有较好的动态性能,比常规PID控制器具有更好的抗干扰性能和鲁棒性,证明了所设计控制器的有效性。
建立面向板形板厚控制的轧机系统动力学模型,必须建立包括轧制方向、轧机垂直方向和轧辊轴向(轧件宽度方向)的动力学模型,其中考虑轧辊轴向非线性特性的动力学模型是关键。本文将轧辊看作弹性连续体,区别于以往将轧辊看作刚性质点的理论,基于连续体动力学理论,建立四辊轧机辊系横向自由振动模型和受迫振动模型。求解了辊系的固有频率、主振型和振动方程;研究了不同受力形式下,辊系的动态特性,并进行了仿真分析。该模型是建立面向板形板厚控制的轧机动态仿真模型的基础。
轧机的整体动态性能,不仅与轧机本身的动力学特性有关,还与轧制过程中运动带钢动态特性相关。本文基于运动梁理论和运动薄板理论,分别建立了轧制过程中运动板带的二维和三维动力学模型;基于轧制理论,确定了带钢的张力方程和张应力分布方程。将带钢张力方程和张应力分布方程与运动板带二维动力学模型和三维动力学模型结合。基于Galerkin截断方法,将动力学偏微分方程离散。确定了运动板带系统的固有频率及其影响因素,研究了轧制过程中运动带钢的稳定性,并对其进行实时仿真。
建立面向板形板厚控制的轧机系统动态仿真模型。首先,建立轧机辊系横向振动模型和轧制过程模型的耦合动态模型(简称为耦合动态模型)。然后,建立轧件-辊系耦合模型,用于修正补偿耦合动态模型。最后,兼顾动态模型和静态模型特点,基于数值算法,将耦合动态模型和轧件-辊系模型耦合,得到基于板形板厚控制的轧机系统动态模型,并进行了仿真分析。该模型可对轧制过程进行模拟,能反映板形板厚综合动态信息,为虚拟轧制提供理论基础,并为先进控制理论应用提供平台。
本文基于动力学理论,建立了面向板形板厚控制的轧机系统动力学模型理论体系。突破传统的静态建模理论,发展了轧制理论,对于推动轧钢机械系统动态建模,开发新的板带轧制工艺和设备,具有重要的理论意义和实用价值。
The shape and thickness qualities of the strip are very important indexes, and the rolling mill system is a complex multivariable nonlinear system, the dynamic characteristics of the rolling mill are complex which have strong influence on the shape and thickness qualities. At present, the studies on the strip thickness system mainly concentrated on the individual items and partial items, and the study on the integral mill system based on thickness control is rare; the studies on the strip shape system mainly concentrated on the static shape preset theory, and the study on the mill dynamic model and simulation based on shape control is rare. So that, based on thickness and shape control, the dynamic model building theory and simulation of mill system was deeply studied.
Take the complex relationship of parameters in the rolling process into consideration, the integral dynamic model of 4-h mill based on thickness control was built. The dynamic model includes the rolling process model, the dynamic model of mill stand-rolls and the dynamic model of hydraulic servo system. The three models coupled together and are a organic whole. According to the relationship among the three models, the coupled model was established and linearized. Then, the MIMO transfer function of 4-h mill system was established. This model is different from the individual items and partial items of mill system, but it was built from the global perspective.
Based on the linearized dynamic model based on thickness control, the robust controller was designed for the electro-hydraulic system based on the simplified H_∞mixed sensitivity method. The H_∞robust controller is designed for the thickness control system based on the mixed sensitivity robust control theory. Simulation results and comparison with the effect of PID controller show that the robust controller designed has better disturbance attenuation performance for parameter uncertainty and external disturbance, and the effective of the controller was approved.
In order to build the dynamic model of mill system based on shape control, the dynamic models which include the rolling direction, the vertical direction and the axial direction of rolls must be built firstly. In this paper, the rolls were taken as elastic continuous bodies, which was different from the theory taking the rolls as lumped masses. The free and forced transverse vibration models of rolls were built based on continuous body dynamic theory. The natural frequency, principal mode and motion equations were determined; the dynamic characteristics of rolls were studied when the rolls were acted by different forces, and the simulation was made. This model is the basic model of the dynamic model based on shape control.
The integral dynamic performance of tandem rolling mill is not influenced by the dynamic of rolling mill, but influenced by the moving strip. The two dimensional model and three dimensional model of moving strip in the rolling process was established based on moving beam theory and moving sheet theory respectively. Then, substitution of the tension equation and stress distribution equation into the two dimensional dynamic model and three dimensional dynamic model, based on Galerkin truncation method, the partial differential equation was discrete. The natural frequencies of moving strip are determined. The stability of moving strip was studied and the simulation in time domain was made.
The dynamic model of rolling mill system based on the shape and thickness control was established. First, the coupled model of rolling process and transverse vibration model of rolls was built (here simply called coupled dynamic model). Then, the srip-rolls coupled static model was built and used to compensate the dynamic model. Last, considering the characteristics of static model and dynamic model, coupled the dynamic model and static model, based on numerical method, the dynamic model of rolling mill based on shape and thickness control was established and the simulation was made.
The theory system of dynamic model building of rolling mill based on shape and thickness control was established in this paper. The static model building theory was broken, and the rolling theory was developed. It is significant for developing the dynamic model building of rolling equipment, developing new rolling technology and equipment.
引文
1刘宏民,丁开荣,李兴东,等.板形标准曲线理论计算方法.机械工程学报, 2008, 44(8): 137-142.
2彭艳,刘宏民,胡建平,等.冷轧带材板形分析及预设定控制软件(FAPCSR)及其应用.钢铁, 2003, 38(2): 34-37.
3 M. D. Stone, R. Gray. Theory and Practical Aspects in Crown Control. AISE Yearly Proceedings, 1965: 657-667.
4盐崎宏行はか.塑性と加工, 1968, (29): 55-70.
5李俊洪.板带轧机板形计算理论及其在宽带轧机中的应用. [燕山大学工学博士学位论文]. 2003: 3-5.
6连家创.四辊轧机辊型设计及辊型调整.重型机械, 1974(9): 22-41.
7王国栋.板形控制和板形理论.北京:冶金工业出版社, 1986: 225-361.
8 Shohet K. N., Townsend N. A.. Roll Bending Methods of Crown Control in Four-high Plate Mills. Journal of the Iron and Steel Institute, 1968, 206(11): 1088-1098.
9 Edwards, W. J.,Spooner, P. D.. Automation of Tandem Mills. London: Iron Steel Inst.. 1973. 176.
10王国栋,张树堂.四辊轧机轧辊弹性变形的矩阵计算法.重型机械, 1982, (8): 9-18.
11张凤泉. HCW轧机辊系变形的有限元计算.钢铁, 1992, 27(11): 28-32.
12时旭,王国栋,刘相华,等.四辊冷轧机轧辊弯曲和压扁变形的有限元分析.东北大学学报:自然科学版, 2004, 25(10): 957-960.
13申光宪,木原谆二.用边界元法求解轧辊接触表面位移和表面力的研究.东北重型机械学院学报,1983, (3): 1-8.
14 Ningtao Zhao, Jianguo Cao, Jie Zhang, etal. Work roll thermal contour prediction model of nonoriented electrical steel sheets in hot strip mills. Journal of University of Science and Technology Beijing, 2008, 15(3): 352-356.
15李兴东,孙大乐,杨利坡,等.面向辊形磨削的热带钢连轧机工作辊热变形研究.钢铁, 2007, 42(4): 38-41.
16连家创.变分法求解辊缝中金属横向流动问题.东北重型机械学院学报, 1980, (1): 1-10.
17 Lian Jiachuang. Analysis of Profile and Shape Control in Flat Rolling. Proceeding of the First International Conference on Steel Rolling. Tokyo, Japan. 1980, 713-724.
18连家创,段振勇.轧件宽展量的研究.钢铁, 1984, 19(11): 15-20.
19刘宏民,段振勇,连家创.冷轧带材力参数综合实验研究.东北重型机械学院学报, 1987, 11(4): 1-7.
20黄传清.板带轧机辊系轴向力的理论与实验研究.[燕山大学工学博士学位论文]. 1994: 25-30.
21黄传清,连家创.板带轧制变形区金属出口横向位移函数的能量法修正.钢铁, 1997, 32(2): 33-37.
22王宏旭.板形计算理论和工作辊辊型优化曲线的研究. [燕山大学工学博士学位论文]. 1996: 2-23.
23连家创,段振勇,叶星.三维解析法求解辊缝中金属横向流动问题.东北重型机械学院学报, 1984, (3): 1-9.
24柳本左門.圧延加工にぉけゐ三次元変形に関すゐ研究.日本機械学会論文集, 1961, 27(178): 800-808.
25柳本左門,青木至.圧延加工にぉけゐ平均圧延圧力を与元ゐ関係式にっぃて.日本機械学会論文集, 1967, 33(249): 826-831.
26 Geleji A.. R umliche Verteilung des Werkstoffflusses und des Walzdruckes im Walzspalt. Archiv für das Eisenhüttenwesen,1967, 38(2): 99.
27 Troost A.. Zur Elementarn Plastizit tstheorie R umlicher Umformvor-g nge. Archiv für das EisenhüttenWesen, 1964, 35(9): 847.
28戸澤康寿,中村雅勇,石川孝司.三次元解析の方法と計算例.塑性と加工,1976, 17(180): 37-44.
29石川孝司,中村雅勇,戸澤康寿.ロールの変形を考慮した薄板圧延の3次元解析.塑性と加工,1980, 21(237): 902-908.
30戸澤康寿,石川孝司,岩田德利.薄板圧延の3次元変形に对ぉゐ改良た解析.塑性と加工, 1982, 23(263): 1181-1187.
31姚林龙.大型工业轧机的三维板带轧制解析.北京科技大学学报, 2003, 25(1): 57-61.
32 Lee, C.H. and Kobayashi, s.. New Solutions to Rigid-Plastic Deformation Problems Using a Matrix Method. Transaction of the ASME, Journal of Engineering for Industry, 1973, 95(3):
865-873.
33小林史郎, C. H. Lee, S. N. Shah.マトリツクス法にょゐ剛-塑性体変形の解析.塑性と加工, 1973, 14(153): 770-778.
34杜凤山.三维弹塑性有限元法模拟板带轧制过程. [燕山大学工学博士学位论文]. 1990: 2-12.
35乔瑞,钱仁根.非线性有限元法及其在塑性加工中的应用.北京:冶金工业出版社, 1990: 52-120.
36刘相华.刚塑性有限元及其在轧制中的应用.北京:冶金工业出版社, 1994: 22-82.
37 C.liu,P. Hartly,C. E. N. Sturgess and G. W. Rowe. Finite-Element Modeling of Deformation and Spread in Slab Rolling. International Journal of Mechanical Science, 1987, 29(4): 271-283.
38 C. Liu,P. Hartly,C. E. N. Sturgess and G. W. Rowe. Analysis of Stress and Strain Distributions in Slab Rolling Using an Elastic-plastic Finite-Element Method. International Journal for Numerical Methods in Engineering, 1988, 25: 55-66.
39刘才,杜凤山,连家创.薄板连轧过程的变形和应力场.机械工程学报, 1992, 28(1): 104-108.
40刘才,杜凤山,连家创.薄板带张力轧制时金属流动的计算机模拟.钢铁, 1992, 27(1): 35-38.
41刘才.有限元法在轧制理论中的应用.钢铁, 1988, 23(9): 63-68.
42邓华,段建辉,黄平,等.非稳态轧制过程的热力耦合刚塑性有限元模拟.中国机械工程, 2008, 19(15): 1875-1878.
43杜凤山,孙静娜,李学通,等.冷轧平整过程轧制压力分布非线性有限元研究.塑性工程学报, 2008, 15(3): 186-190.
44朱国明,康永林,陈伟.轧制过程弹性辊三维热力耦合仿真分析.机械工程材料, 2006, 30(12): 62-65.
45 Li Xue-Tong, Wang Min-Ting, Du Feng-Shan. Coupling Thermomechanical and Microstructural FE Analysis in Plate Rolling Process. Journal of Iron and Steel Research, International, 2008, 15(4): 42-50.
46 Liu Xiang-hua, ShiXu, Li Shan-qing, et al. FEM Analysis of Rolling Pressure Along Strip Width in Cold Rolling Process. Journal of Iron and Steel Research, International, 2007, 14(5): 22-26.
47 Tang JianGuo, Zhang XinMing, Chen ZhiYong, Deng YunLai. Finite element simulation of influences of grain interaction on rolling textures of fcc metals. Journal of Central South University of Technology, 2006, 13(2): 117-121.
48 A.K. Datta, G. Das, P.K. De, P. Ramachandrarao, et al. Finite element modeling of rolling process and optimization of process parameter. Materials Science and Engineering: A, 2006, 426(1-2): 11-20.
49 Zhang Guo-min, Xiao Hong, Wang Chun-hua. Three-Dimensional Model for Strip Hot Rolling. Journal of Iron and Steel Research, International, 2006, 120(13): 23-26.
50 Jaroslav Mackerle. Finite element analyses and simulations of manufacturing processes of composites and their mechanical properties: a bibliography (1985–2003). Computational Materials Science, 2004, 31(3-4):187-219.
51 Chandra A., Mukherjee S.. A Boundary Element formulations for large strain-large deformation problems of viscoplasticity. International Journal of Solid Structure, 1984, 20(1): 41-53.
52 Kihara, J.,Aizawa, T.,Ma, X. P.. Application of BEM to calculation of the roll profile in flat rolling. The Science and Technology of Flat Rolling,4th International Steel Rolling Conference, Deauville, France. 1987, 2, E1(1-12).
53肖宏,申光宪,连家创.三维弹塑性边界元法模拟板带轧制过程.钢铁, 1993, 28(3): 39-43.
54肖宏.三维弹塑性边界元法模拟板带轧制过程的研究.[燕山大学工学博士学位论文]. 1991: 15-30.
55黄庆学,肖宏.用边界元法分析前后张力对板带轧制过程的影响.机械工程学报. 2000, 36(11): 39-43, 49.
56束学道,李传民,刘德义,等.板带轧制压力多极边界元法解析.塑性工程学报, 2008, 15(1): 123-126.
57刘德义.三维弹塑性摩擦接触多极边界元法和四辊轧机轧制模拟.[燕山大学工学博士学位论文]. 2003: 11-34.
58陈一鸣.弹性及弹塑性摩擦接触边界元快速算法的理论与方法研究.[燕山大学工学博士学位论文]. 2002: 1-12.
59刘若飞.三维自适应边界元法及其应用.[燕山大学工学硕士学位论文]. 2004: 44-47.
60刘宏民.四辊轧机冷轧带材压力摩擦力张力横向分布的理论与实研研究. [燕山大学工学博士学位论文]. 1988: 82-110.
61刘宏民.三维轧制理论及其应用.北京:科学出版社, 1999: 54-104.
62刘宏民,连家创,段振勇.模拟带材轧制过程的条元法.机械工程学报, 1993, 29(4): 36-42.
63 Liu Hongmin, Lian Jiachuang. Transverse Distribution of Front and Back Tension Stresses in Cold Strip Rolling. Chinese Journal of Metal Science and Technology, 1992, 8(6): 427-434.
64刘宏民,连家创,段振勇.大宽厚比冷轧带材压力摩擦力张力横向分布的研究.机械工程学报, 1994, 30(增刊): 9-14.
65 Liu Hongmin, Lian Jiachuang, Duan Zhenyong. Study on the asymmetrical cold strip rolling under large width to thickness ratio. Journal of Material Science and Technology, 1996, 12(3): 232-234.
66 Liu Hongmin, Zheng Zhenzhong, Peng Yan. Streamline strip element method for analysis of the three-dimensional stresses and deformations of strip rolling. International Journal for Numerical Methods in Engineering, 2001, 50(5): 1059-1076.
67 Liu Hongmin, Lian Jiachuang, Peng Yan. Third-power spline function strip element method and its simulation of the three-dimensional stresses and deformations of cold strip rolling. Journal of Materials Processing Technology, 2001, 116(2-3): 235-243.
68 Liu Hongmin, Peng Yan, Chu Yupeng, Wang Yingrui. Strip element method for shape discrimination of strip rolling. Communications in Numerical Methods in Engineering, 2004, 20(9): 709-720
69 Liu Hongmin, Jin Dan, Wang Yingrui. Strip layer method for simulation of the three-dimensional deformations of plate and strip rolling. Communications in Numerical Methods in Engineering, 2004, 20(3): 183-191.
70刘玉礼.板厚板形综合调节新型四辊轧机的试验与理论研究. [燕山大学工学博士学位论文]. 1999: 8-15.
71郑振忠,彭艳,刘宏民.研究冷轧带材三维变形的流线条元法.燕山大学学报, 2001, 25(1): 47-52.
72彭艳.基于条元法的HC冷轧机板形预设定控制理论研究及工业应用. [燕山大学工学博士学位论文]. 2000: 13-38.
73王英睿.三维条元法及其对热轧板带轧制过程的仿真. [燕山大学工学博士学位论文]. 2003: 45-80.
74杨利坡.板带轧制三维热力耦合条元法研究及仿真系统开发. [燕山大学工学博士学位论文]. 2006: 42-69.
75王东城.基于机理的带钢连轧机板形在线设定控制模型研究. [燕山大学工学博士学位论文]. 2009: 86-90.
76王君,王国栋.厚度计型变刚度控制系统研究.轧钢, 2001, 18(6): 3-5.
77陈建华,吴光蜀,李冰,等. AGC系统高精度厚度计公式的工程研究.轧钢, 2002, 19(5): 42-45.
78刘禹.铝箔轧机的厚度反馈控制.有色金属加工, 2003, 32(2): 61-62.
79陈至坤,镇维,张瑞成.基于自抗扰控制器的测厚仪反馈式控制系统.机床与液压, 2008, 36(8): 270-272, 298.
80徐光,杨节.前馈AGC的改进.武汉钢铁学院学报, 1990, 13(4): 392-396.
81王益群,孙孟辉,张伟,等. Smith预估控制在冷带轧机液压AGC前馈-反馈控制系统中的应用.液压与气动, 2007, (12): 36-39.
82李谋谓,邹立河.张力AGC模糊控制技术和高精度全密封张力传感器的研制.冶金设备, 1998, (1): 26-28.
83张进之.连轧过程张力控制系统的进化与分析.冶金设备, 2005, (6): 29-32.
84叶学卫,黄佩杰,许健勇.流量AGC在宝钢冷连轧机上的应用.冶金自动化, 2005, 29(4): 31-35.
85杨景明,韩宗刚,徐雅洁,等.秒流量液压AGC系统的动态仿真研究.冶金设备, 2006, (4): 1-4,17.
86陈德福,孙海波.动态设定型变刚度液压AGC系统在1400mm高速不可逆铝板轧机上的应用.一重技术, 1990, (3): 142-147.
87杨庆国.带钢热连轧机液压AGC变刚度分析.辽宁科技学院学报, 2008, 10(1): 14-15.
88李伯虎,柴旭东,朱文海,等.现代建模与仿真技术发展中的几个焦点.系统仿真学报, 2004, 16(9): 1871-1878.
89杨明,张冰,王子才.建模与仿真技术发展趋势分析.系统仿真学报, 2004, 16(9): 1901-1904,1913.
90李云峰.现代计算机仿真技术的研究与发展.计算技术与自动化, 2002, 21(4): 75-78, 83.
91熊光楞,彭毅.先进仿真技术与仿真环境.北京:国防工业出版社, 1997.
92崔建江,吴胜昔,袁枫华,等.仿真技术在冷连轧系统的应用及发展.系统仿真学报, 2001, 13(1): 86-88, 95.
93杨跃辉.热连轧轧制过程动态仿真.[河北理工大学工学硕士学位论文], 2006: 2-12.
94唐谋凤.现代带钢热连轧机自动化.北京:冶金工业出版社, 1988: 105-198.
95镰田正诚.板带连续轧制.李伏桃,陈岿,康永林译.北京:冶金工业出版社, 2002
96 Andreas Kugi, Kurt Schlacher, Rainer Novak. Nonlinear control in rolling mills: A new perspective . IEEE Transactions on Industry Application, 2001, 37(5): 1394-1402
97 B.H.Freyer, I.K.Craig, P.C. Pistorius. Gauge and tension control during the acceleration phase of a steckel hot rolling mill. ISIJ International, 2003, 43(10): 1562-1571
98 D.D. Wang, A.K. Tieu, C. Lu, etal. Modeling and optimization of threading process for shapecontrol in tandem cold rolling. Journal of Materials Processing Technology, 2003, 140 (1-3SPEC): 562-568.
99 Sansal K. Yildiz, J. Fraser Forbes , Biao Huang, etal. Dynamic modelling and simulation of a hot strip finishing mill. Applied Mathematical Modelling, 2009, 33(7): 3208-3225.
100 Eugenio Brusa, Luca Lemma. Numerical and experimental analysis of the dynamic effects in compact cluster mills for cold rolling. Journal of Materials Processing Technology, 2009, 209(5): 2436-2445.
101张进之.连轧张力变形微分方程的分析与讨论.钢铁, 1978, 4: 85-92.
102张进之.常用连轧张力微分方程的适用范围.钢铁研究学报, 2002, 14(5):73-76.
103张进之,赵厚信,王喆,等.连轧张力公式的实验验证和分析.中国工程科学, 2008, 10(4): 73-77.
104孙一康.带钢冷连轧计算机控制.北京:冶金工业出版社, 2002: 10-96.
105王艾伦,钟掘.复杂机电系统的全局耦合建模方法与仿真研究.机械工程学报, 2003, 39(4): 1-5.
106段吉安,钟掘.高速轧机工作界面的负阻尼特性.中南工业大学学报, 2002, 33(2): 401-404.
107 He Jianjun, Yu Shouyi, Zhong Jue. Analysis of electromechanical coupling facts of complicated electromechanical system. Transactions of Nonferrous Metals Society of China, 2002, 12(2): 301-304.
108潘学军,张承进,柴天佑.冷连轧过程仿真软件包的研制.系统仿真学报, 1998, 10(4): 20-21.
109铁鸣,柴天佑.冷连轧仿真系统虚拟对象级的设计要点.东北大学学报:自然科学版, 2007, 28(6): 761-764.
110宋美娟.冷连轧机动态过程的数值模拟.金属成型工艺, 2001, 19(2): 21-24.
111崔建江,袁枫华,徐心和.冷连轧机系统中过程优化计算机的建模与仿真.系统仿真学报, 2001, 13(6): 816-818,830.
112张大志,凌智,宋勇,等. 2030五机架冷连轧机动态仿真系统.北京科技大学学报, 2003,
25(3): 262-266.
113杨景明,宋维公,李鑫滨,等.冷带轧机液压厚控系统动态数学模型分析与测试.燕山大学学报, 1998, 22(1): 82-84.
114刘兴华.一种新压力AGC控制模型的研究.轧钢, 2000, 17(5): 55-57.
115王君,王国栋.各种压力AGC模型的分析与评价.轧钢, 2001, 18(5): 51-54.
116张伟,王益群.冷连轧机动态过程特性的建模与仿真.工程设计学报, 2002, 9(5): 271-274.
117张伟,王益群,高英杰.板带轧机液压压下系统的建模与仿真.液压与气动, 2004, (1): 21-24.
118张伟,王益群,孙孟辉.板带轧机自动厚度控制模型的研究.中国机械工程, 2008, 19(1): 95-98.
119王益群,张伟,高英杰,等.虚拟冷连轧机数字仿真研究.中国机械工程, 2003, 14(20): 1770-1773.
120王益群,方一鸣,孙登月,等. 2030冷连轧机速度控制系统的建模及电动机负载转矩的计算.机械工程学报, 2003, 41(3): 128-134.
121 Sun Dengyue, Du Fengshan, Xu Shimin, etal. Dynamic strip thickness simulation on five-stand cold continuous rolling mill. Journal of Iron and Steel Research, Internal, 2006,13(2): 30-32.
122王正林,童朝南,孙一康.带钢热连轧AGC系统实时仿真.北京科技大学学报, 2005, 27(5): 600-603.
123杨跃辉,郑申白.热连轧机的仿真研究.河北理工学院学报, 2005, 27(4): 31-35.
124郑申白,杨勇,范世军,等.轧制过程仿真现状及展望.河南冶金, 2007,15(1): 3-7.
125钟云峰,谭树彬,徐心和.板带轧机AGC变刚度控制的研究.冶金设备, 2006, (1): 15-18.
126谭树彬,钟云峰,刘建昌,等.轧机辊缝控制建模及仿真.系统仿真学报, 2006, 18(6): 1425-1427.
127谭树彬,钟云峰,徐心和.板带轧机变刚度控制的应用及仿真.系统仿真学报, 2006, 18(4): 1030-1032.
128赵丽娟,刘杰,徐涛.基于接口的轧机液压辊缝控制系统的多领域建模与协同仿真.系统仿真学报, 2007, 19(11): 2567-2570.
129赵丽娟,才宏,刘杰.四辊冷连轧机液压压下系统建模研究.机床与液压, 2006(2): 128-129.
130靳宝全,熊诗波,梁义维,等.考虑反馈机构动刚度的轧机伺服压下系统建模与仿真.中国机械工程, 2008, 19(11): 1330-1335.
131靳宝全,梁义维,熊诗波,等.考虑反馈机构机电耦合的压下系统振动分析.振动、测试与诊断, 2008, 28(2): 91-95.
132 Yarita I, Furukawam K, Seino Y. An analysis of chattering in cold rolling for ultra thin gage strip steel. Transactions of the Iron and Steel Institute of Japan, 1978, 18(1): 1-12.
133 Chefueux L, Fischbach J P, Gouzou J. Study and Industrial control of chater in cold rolling. Iron and Steel Engineer, 1984, 61(11): 17-26.
134 Yun, I. -S., Wilson W R D, Ehmann, K. F.. Chater in the strip rolling process, Part 1: Dynamic model of rolling. Transactions of the ASME: Journal of Manufacturing Science and Engineering, 1998, 120(2): 330-336.
135 Yun, I. -S., Wilson W R D, Ehmann, K. F.. Chater in the strip rolling process, Part 2: Dynamic rolling experiments. Transactions of the ASME: Journal of Manufacturing Science and Engineering, 1998, 120(2): 337-342.
136 Yun, I. -S., Wilson W R D, Ehmann, K. F.. Chater in the strip rolling process, Part 3: Chatter model. Transactions of the ASME: Journal of Manufacturing Science and Engineering, 1998, 120(2): 343-348.
137 Hu P H, Ehmann K F. A dynamic model of the rolling process. PartⅠ: Homogeneous Model. Int.J. Mach. Tools Manuf., 2000, 40: 1-19.
138 Hu P H, Ehmann K F. A dynamic model of the rolling process. PartⅡ: Homogeneous Model. Int. J. Mach. Tools Manuf., 2000, 40: 21-31.
139 Pei-Hua Hu, K F Ehmann. Stability analysis of chatter on a tandem rolling mill. Journal of Manufacturing Processes, 2000, 2(4): 217-224.
140 Yun-Jeng Lin. Characterization of dynamic instability in metal sheet rolling. Texas A&M university. 2002: 20-150.
141钟掘,徐乐江.带钢表面振纹的工业试验与发现.中国有色金属学报. 2000,10(2): 291-296.
142 TANG Huaping, DING Rui, WU Yunxin, etl. Investigation for parametric vibration of rolling mill. Trans. Nonferrous Met. Soc. China, 2002, 12(3): 485-488.
143段吉安,钟掘.高速轧机工作界面的负阻尼特性.中南工业大学学报, 2002, 33(2): 401-404.
144邹家祥,徐乐江.冷连轧机系统振动控制[M].北京:冶金工业出版社, 1998.
145陈勇辉,刘世元,廖广兰.四辊冷轧机三倍频振颤机理的研究.机械工程学报, 2003, 39(6): 118-123.
146陈勇辉,史铁林,杨叔子.四辊冷轧机非线性参激振动的研究.机械工程学报, 2003, 39(4): 56-60.
147令狐克志,何安瑞,杨荃,等.热轧带钢板形板厚反馈解耦控制.北京科技大学学报, 2007, 29(3): 338-341.
148杨景明,刘舒慧,车海军,等.一种结合模拟退火算法的BP网络冷连轧参数预报模型.钢铁, 2008, 43(7): 55-58, 90.
149 Zhang Li, Zhang Li-yong, Wang Jun, et al. Prediction of Rolling Load in Hot Strip Mill by Innovations Feedback Neural Networks. Journal of Iron and Steel Research, 2007, 14(2): 42-45, 51.
150 Mohieddine Jelali. Performance assessment of control systems in rolling mills-application to strip thickness and flatness control. Journal of Process Control, 2007, 17(10): 805-816.
151何海涛,刘宏民,蒋岳峰.具有伸长率分配计算功能的轧制力预报智能模型研究.钢铁, 2007, 14(2): 55-58.
152王粉花,孙一康,陈占英.基于模糊神经网络的板形板厚综合控制系统.北京科技大学学报, 2003, 25 (2): 182-184.
153 Luis E. Zárate, Fabrício R. Bittencout. Representation and control of the cold rolling process through artificial neural networks via sensitivity factors. Journal of Materials Processing Technology, 2008, 197(1-3): 344-362.
154 Joon-Sik Son, Duk-Man Lee, Ill-Soo Kim, etal. A study on on-line learning neural network for prediction for rolling force in hot-rolling mill. Journal of Materials Processing Technology, 2005, 162-163(15): 585-590.
155 J. S. Gunasekera, Zhengjie Jia, J. C. Malas, etal. Development of a neural network model for a cold rolling process. Engineering Applications of Artificial Intelligence, 1998, 11(5): 597-603.
156 P.P. Gudur, U.S. Dixit. A neural network-assisted finite element analysis of cold flat rolling. Engineering Applications of Artificial Intelligence, 2008, 21(1): 43-52.
157赵琳琳,方一鸣,仲伟峰,等.冷带轧机厚控系统自适应鲁棒输出反馈动态控制器设计.控制理论与应用, 2008, 25(4): 787-790.
158 Pierre Montmitonnet. Hot and cold strip rolling processes. Computer Methods in Applied Mechanics and Engineering, 2006, 195(48-49): 6604-6625.
159梅生伟,申铁龙,刘康志.现代鲁棒控制理论与应用.北京:清华大学出版社, 2003: 61-116.
160杨斌虎,杨卫东,陈连贵.基于结构奇异值μ综合的热轧带钢AGC鲁棒控制控制理论与应用2008, 25(2): 299-302.
161方一鸣,陆金波,刘仙,等.冷连轧机张力系统H∞混合灵敏度鲁棒控制器设计.系统仿真学报, 2004, 16(8): 1812-1815.
162连家创,段振勇,刘志勇.四辊轧机横向振动固有频率研究.机械工程学报, 1983, 19(3): 1-10.
163杨其俊,连家创.四辊轧机横向振动固有频率计算的改进.东北重型机械学院学报, 1994, 18(3): 198-203.
164 ONISZCZUK Z. Free transverse vibration of an elastically connected complex simply supported double-beam system. Journal of sound and vibration, 2003, 232(2): 387-403.
165 ONISZCZUK Z. Forced transverse vibration of an elastically connected complex simply supported double-beam system. Journal of sound and vibration, 2003, 264(2): 273-286.
166 ONISZCZUK Z. Free transverse vibration of an elastically connected rectangular simply supported double-plate complex system. Journal of sound and vibration, 2000, 236(4): 595-608.
167 ONISZCZUK Z. Forced transverse vibrations of an elastically connected complex rectangular simply supported double-plate system. Journal of sound and vibration, 2004, 270(4-5): 997-1011.
168 ONISZCZUK Z. Free transverse vibration of an elastically connected complex beam string system. Journal of sound and vibration, 2002, 254(4): 703-715.
169 Seong-Min Kim, Yoon-Ho Cho.Vibration and dynamic buckling of shear beam-columns on elastic foundation under moving harmonic loads. International Journal of Solids and Structures, 2006, 43(3-4): 393-412.
170 Jun Li, Hongxing Hua. Dynamic stiffness vibration analysis of an elastically connected three-beam system. Applied Acoustics, 2008, 69(7): 591-600.
171 Jun Li, Hongxing Hua. Spectral finite element analysis of elastically connected double-beam systems. Finite Elements in Analysis and Design, 2007, 43(15): 1155-1168.
172 Zhang Y. Q., Lu Y., Ma G. W.. Effect of compressive axial load on forced transverse vibrations of a double-beam system. International Journal of Mechanical Sciences, 2008, 50(2): 299-305.
173 Yongqiang Zhang, Guirong Liu, Xu Han. Transverse vibrations of double-walled carbon nanotubes under compressive axial load. Physics Letters A , 2005, 340: 258-266.
174 Y.Q. Zhang, X. Liua, J.H. Zhao. Influence of temperature change on column buckling ofmultiwalled carbon nanotubes. Physics Letters A, 2008, 372: 1676-1681.
175 Kai-Yu Xu, Elias C. Aifantis, Yong-Hua Yan. Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes. Journal of Applied Mechanics, Transactions ASME, 2008, 75(2): 0210131-0210139.
176 C. Sun, K. Liu. Vibration of multi-walled carbon nanotubes with initial axial loading. Solid State Communications, 2007, 143 (4-5): 202–207.
177 Metin Aydogdu. Vibration of multi-walled carbon nanotubes by generalized shear deformation theory. International Journal of Mechanical Sciences, 2008, 50 (4): 837-844.
178 Aydogdu Metin. Effects of shear deformation on vibration of doublewalled carbon nanotubes embedded in an elastic medium. Archive of Applied Mechanics, 2008, 78(9): 711-723.
179 Oz H.R., Pakdemirli M., Boyaci H. Non-linear vibrations and stability of an axially moving beam with time-dependent velocity. International Journal of Non-Linear Mechanics, 2001, 36(1): 107-115.
180 Oz H.R.. On the nonlinear transverse vibrations and stability of an axially accelerating beam. Mathematical and Computational Applications, 2000, 5(3): 157-167.
181 Pakdemirli M., Oz H.R.. Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations, Journal of Sound and Vibration, 2008, 311(3-5): 1052-1074.
182 Xiao-DongYang, Li-Qun Chen. Stability in parametric resonance of axially accelerating beams constituted by Boltzmann’s superposition principle. Journal of Sound and Vibration, 2006, 289 (1-2): 54-65.
183 Li-Qun Chen, Xiao-Dong Yang. Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models. International Journal of Solids and Structures, 2005, 42(1): 37-50.
184李晓军,陈立群.关于两端固定轴向运动梁的横向振动.振动与冲击, 2005, 24(1): 22-24.
185杨晓东,陈立群.变速度轴向运动粘弹性梁的动态稳定性.应用数学与力学, 2005, 26(8): 905-910.
186杨晓东,陈立群.粘弹性变速运动梁稳定性的直接多尺度分析.振动工程学报, 2005, 18(2): 223-226.
187 Li-Qun Chen, Xiao-Dong Yang. Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation. Chaos, Solitons and Fractals, 2006, 27(3): 748-757.
188李晓军,陈立群.平带驱动系统耦合振动的模态分析.应用数学与力学, 2008, 29(1): 8-12.
189张伟,温洪波,姚明辉.黏弹性传送带1:3内共振时的周期和混沌振动.力学学报, 2004, 36(4): 443-454.
190张红星,张伟,姚明辉,等.粘弹性传动带非线性振动实验研究.动力学与控制学报, 2007, 5(4): 361-364.
191罗善明,郭迎福,余以道,等.磁力金属带传动的动力学模型及其振动特性研究.湖南科技大学学报(自然科学版), 2005, 20(4): 30-33.
192时彧,刘义伦,罗善明.磁力辅助金属带传动的振动分析, 2006, 21(2): 64-67.
193冯志华,朱晓东,兰向军.轴向运动纱线非线性动力学.苏州大学学报(工科版), 2004, 24(5): 23-26.
194黄建亮,陈树辉.轴向运动体系非线性振动分析的多元L-P方法.中山大学学报(自然科学版), 2004, 43(4): 115-117, 121.
195黄建亮,陈树辉.轴向运动体系横向非线性振动的联合共振.振动工程学报, 2005, 18(1): 19-22.
196殷振坤,陈树辉.轴向运动薄板非线性振动及其稳定性研究.动力学与控制学报, 2007, 5(4): 314-319.
197侯志勇,王忠民.轴向运动薄膜的横向振动和稳定性分析.西安理工大学学报, 2005, 21(4):
402-404.
198 A. Swiatoniowski, A. Bar. Parametrical excitement vibration in tandem mills-mathematical model and its analysis. Journal of materials processing technology, 2003(134): 214-224.
199 A.Bar, O.Bar. Types of mid-frequency vibrations appearing during the rolling mill operation. Journal of materials processing technology, 2005(162): 464-464.
200 J. Niziol, A. Swiatoniowski. Numerical analysis of the vertical vibration of rolling mills and their negative effect on the sheet quality. Journal of materials processing technology, 2005(162): 546-550.
201 A. Bar, A. Swiatoniowski. Interdependence between the rolling speed and non-linear vibrations of the mill system. Journal of materials processing technology, 2004(155-156): 2116-2121.
202 C.H. Kim, N.C. Perkins, C.W. Lee. Parametric resonance of plates in a sheet metal coating process. Journal of sound and vibration, 2003, 268: 679-697.
203 Tang Hua-ping, Ding Rui, Wu Yun-xin. Investigation for parametric vibration of rolling mill. Trans. Nonferrous Met. Soc. China, 2002, 12(3): 485-488.
204杨景明. IGC650HCW冷带轧机控制系统关键技术研究. [燕山大学工学博士学位论文]. 2000:10-17.
205张小平,张少琴,张进之,等.板形理论与板形控制技术的发展.塑性工程学报, 2005, 12(7):12-21.
206张伟,王益群,孙梦辉.板带轧机自动厚度控制模型的研究.中国机械工程, 2008, 19(1): 95-98.
207王粉花.二机架可逆冷连轧板厚板形综合控制系统的研究. [北京科技大学博士学位论文]. 2003: 2-10.
208吴文斌.板形控制新技术在宝钢2030冷轧轧机的应用与研究. [东北大学博士学位论文]. 2003: 1-20.
209 Remn-Min Guo. Modeling and simulation of run-out table cooling control usingfeedforward-feedback and Element tracking system. IEEE Transaction on Industry Application, 1997, 33(2): 304-311.
210 Remn-Min Guo. Optimal profile and shape control of flat sheet metal using multiple control devices. IEEE Transaction on Industry Application, 1996, 32(2): 449-457.
211张秀玲,刘宏民.板形控制的传递矩阵方法.机械工程学报, 2003, 39(11): 83-87.
212连家创,戚向东,岳晓丽,等.最优辊型技术的开发和应用.钢铁, 2007, 42(10): 15-18.
213杨利坡,周涛,彭艳,等. HC可逆冷轧机轧辊失效改进措施的试验研究.钢铁, 2006, 41(5): 57-60.
214王英睿,崔振山,袁建光. 4辊CVC热带钢连轧机轧制过程的仿真.钢铁, 2005, 40(12): 46-49, 63.
215张显库,贾欣乐.一种简化的H∞控制混合灵敏度算法.控制理论与应用, 2001, 18(2): 307-309, 313.
216薛定宇,陈阳泉.基于MATLAB/SIMULINK的系统仿真技术与应用.北京:清华大学出版社, 2002: 80-150.
217代冀阳,李艳霞,万卫强,等.采用进化算法优化H∞加权阵的选取.南昌航空工业学院学报, 2002, 16(3): 38-43.
218雷英杰. MATLAB遗传算法工具箱及应用.西安:西安电子科技大学出版社, 2005: 20-96.
219郑申白,韩静涛,王江.连轧张力运动力学稳态方程.钢铁研究学报, 2005, 17(6): 39-42.
220曹志远.板壳振动理论.北京:中国铁道出版社, 1983: 40-160.
2彭艳,刘宏民,胡建平,等.冷轧带材板形分析及预设定控制软件(FAPCSR)及其应用.钢铁, 2003, 38(2): 34-37.
3 M. D. Stone, R. Gray. Theory and Practical Aspects in Crown Control. AISE Yearly Proceedings, 1965: 657-667.
4盐崎宏行はか.塑性と加工, 1968, (29): 55-70.
5李俊洪.板带轧机板形计算理论及其在宽带轧机中的应用. [燕山大学工学博士学位论文]. 2003: 3-5.
6连家创.四辊轧机辊型设计及辊型调整.重型机械, 1974(9): 22-41.
7王国栋.板形控制和板形理论.北京:冶金工业出版社, 1986: 225-361.
8 Shohet K. N., Townsend N. A.. Roll Bending Methods of Crown Control in Four-high Plate Mills. Journal of the Iron and Steel Institute, 1968, 206(11): 1088-1098.
9 Edwards, W. J.,Spooner, P. D.. Automation of Tandem Mills. London: Iron Steel Inst.. 1973. 176.
10王国栋,张树堂.四辊轧机轧辊弹性变形的矩阵计算法.重型机械, 1982, (8): 9-18.
11张凤泉. HCW轧机辊系变形的有限元计算.钢铁, 1992, 27(11): 28-32.
12时旭,王国栋,刘相华,等.四辊冷轧机轧辊弯曲和压扁变形的有限元分析.东北大学学报:自然科学版, 2004, 25(10): 957-960.
13申光宪,木原谆二.用边界元法求解轧辊接触表面位移和表面力的研究.东北重型机械学院学报,1983, (3): 1-8.
14 Ningtao Zhao, Jianguo Cao, Jie Zhang, etal. Work roll thermal contour prediction model of nonoriented electrical steel sheets in hot strip mills. Journal of University of Science and Technology Beijing, 2008, 15(3): 352-356.
15李兴东,孙大乐,杨利坡,等.面向辊形磨削的热带钢连轧机工作辊热变形研究.钢铁, 2007, 42(4): 38-41.
16连家创.变分法求解辊缝中金属横向流动问题.东北重型机械学院学报, 1980, (1): 1-10.
17 Lian Jiachuang. Analysis of Profile and Shape Control in Flat Rolling. Proceeding of the First International Conference on Steel Rolling. Tokyo, Japan. 1980, 713-724.
18连家创,段振勇.轧件宽展量的研究.钢铁, 1984, 19(11): 15-20.
19刘宏民,段振勇,连家创.冷轧带材力参数综合实验研究.东北重型机械学院学报, 1987, 11(4): 1-7.
20黄传清.板带轧机辊系轴向力的理论与实验研究.[燕山大学工学博士学位论文]. 1994: 25-30.
21黄传清,连家创.板带轧制变形区金属出口横向位移函数的能量法修正.钢铁, 1997, 32(2): 33-37.
22王宏旭.板形计算理论和工作辊辊型优化曲线的研究. [燕山大学工学博士学位论文]. 1996: 2-23.
23连家创,段振勇,叶星.三维解析法求解辊缝中金属横向流动问题.东北重型机械学院学报, 1984, (3): 1-9.
24柳本左門.圧延加工にぉけゐ三次元変形に関すゐ研究.日本機械学会論文集, 1961, 27(178): 800-808.
25柳本左門,青木至.圧延加工にぉけゐ平均圧延圧力を与元ゐ関係式にっぃて.日本機械学会論文集, 1967, 33(249): 826-831.
26 Geleji A.. R umliche Verteilung des Werkstoffflusses und des Walzdruckes im Walzspalt. Archiv für das Eisenhüttenwesen,1967, 38(2): 99.
27 Troost A.. Zur Elementarn Plastizit tstheorie R umlicher Umformvor-g nge. Archiv für das EisenhüttenWesen, 1964, 35(9): 847.
28戸澤康寿,中村雅勇,石川孝司.三次元解析の方法と計算例.塑性と加工,1976, 17(180): 37-44.
29石川孝司,中村雅勇,戸澤康寿.ロールの変形を考慮した薄板圧延の3次元解析.塑性と加工,1980, 21(237): 902-908.
30戸澤康寿,石川孝司,岩田德利.薄板圧延の3次元変形に对ぉゐ改良た解析.塑性と加工, 1982, 23(263): 1181-1187.
31姚林龙.大型工业轧机的三维板带轧制解析.北京科技大学学报, 2003, 25(1): 57-61.
32 Lee, C.H. and Kobayashi, s.. New Solutions to Rigid-Plastic Deformation Problems Using a Matrix Method. Transaction of the ASME, Journal of Engineering for Industry, 1973, 95(3):
865-873.
33小林史郎, C. H. Lee, S. N. Shah.マトリツクス法にょゐ剛-塑性体変形の解析.塑性と加工, 1973, 14(153): 770-778.
34杜凤山.三维弹塑性有限元法模拟板带轧制过程. [燕山大学工学博士学位论文]. 1990: 2-12.
35乔瑞,钱仁根.非线性有限元法及其在塑性加工中的应用.北京:冶金工业出版社, 1990: 52-120.
36刘相华.刚塑性有限元及其在轧制中的应用.北京:冶金工业出版社, 1994: 22-82.
37 C.liu,P. Hartly,C. E. N. Sturgess and G. W. Rowe. Finite-Element Modeling of Deformation and Spread in Slab Rolling. International Journal of Mechanical Science, 1987, 29(4): 271-283.
38 C. Liu,P. Hartly,C. E. N. Sturgess and G. W. Rowe. Analysis of Stress and Strain Distributions in Slab Rolling Using an Elastic-plastic Finite-Element Method. International Journal for Numerical Methods in Engineering, 1988, 25: 55-66.
39刘才,杜凤山,连家创.薄板连轧过程的变形和应力场.机械工程学报, 1992, 28(1): 104-108.
40刘才,杜凤山,连家创.薄板带张力轧制时金属流动的计算机模拟.钢铁, 1992, 27(1): 35-38.
41刘才.有限元法在轧制理论中的应用.钢铁, 1988, 23(9): 63-68.
42邓华,段建辉,黄平,等.非稳态轧制过程的热力耦合刚塑性有限元模拟.中国机械工程, 2008, 19(15): 1875-1878.
43杜凤山,孙静娜,李学通,等.冷轧平整过程轧制压力分布非线性有限元研究.塑性工程学报, 2008, 15(3): 186-190.
44朱国明,康永林,陈伟.轧制过程弹性辊三维热力耦合仿真分析.机械工程材料, 2006, 30(12): 62-65.
45 Li Xue-Tong, Wang Min-Ting, Du Feng-Shan. Coupling Thermomechanical and Microstructural FE Analysis in Plate Rolling Process. Journal of Iron and Steel Research, International, 2008, 15(4): 42-50.
46 Liu Xiang-hua, ShiXu, Li Shan-qing, et al. FEM Analysis of Rolling Pressure Along Strip Width in Cold Rolling Process. Journal of Iron and Steel Research, International, 2007, 14(5): 22-26.
47 Tang JianGuo, Zhang XinMing, Chen ZhiYong, Deng YunLai. Finite element simulation of influences of grain interaction on rolling textures of fcc metals. Journal of Central South University of Technology, 2006, 13(2): 117-121.
48 A.K. Datta, G. Das, P.K. De, P. Ramachandrarao, et al. Finite element modeling of rolling process and optimization of process parameter. Materials Science and Engineering: A, 2006, 426(1-2): 11-20.
49 Zhang Guo-min, Xiao Hong, Wang Chun-hua. Three-Dimensional Model for Strip Hot Rolling. Journal of Iron and Steel Research, International, 2006, 120(13): 23-26.
50 Jaroslav Mackerle. Finite element analyses and simulations of manufacturing processes of composites and their mechanical properties: a bibliography (1985–2003). Computational Materials Science, 2004, 31(3-4):187-219.
51 Chandra A., Mukherjee S.. A Boundary Element formulations for large strain-large deformation problems of viscoplasticity. International Journal of Solid Structure, 1984, 20(1): 41-53.
52 Kihara, J.,Aizawa, T.,Ma, X. P.. Application of BEM to calculation of the roll profile in flat rolling. The Science and Technology of Flat Rolling,4th International Steel Rolling Conference, Deauville, France. 1987, 2, E1(1-12).
53肖宏,申光宪,连家创.三维弹塑性边界元法模拟板带轧制过程.钢铁, 1993, 28(3): 39-43.
54肖宏.三维弹塑性边界元法模拟板带轧制过程的研究.[燕山大学工学博士学位论文]. 1991: 15-30.
55黄庆学,肖宏.用边界元法分析前后张力对板带轧制过程的影响.机械工程学报. 2000, 36(11): 39-43, 49.
56束学道,李传民,刘德义,等.板带轧制压力多极边界元法解析.塑性工程学报, 2008, 15(1): 123-126.
57刘德义.三维弹塑性摩擦接触多极边界元法和四辊轧机轧制模拟.[燕山大学工学博士学位论文]. 2003: 11-34.
58陈一鸣.弹性及弹塑性摩擦接触边界元快速算法的理论与方法研究.[燕山大学工学博士学位论文]. 2002: 1-12.
59刘若飞.三维自适应边界元法及其应用.[燕山大学工学硕士学位论文]. 2004: 44-47.
60刘宏民.四辊轧机冷轧带材压力摩擦力张力横向分布的理论与实研研究. [燕山大学工学博士学位论文]. 1988: 82-110.
61刘宏民.三维轧制理论及其应用.北京:科学出版社, 1999: 54-104.
62刘宏民,连家创,段振勇.模拟带材轧制过程的条元法.机械工程学报, 1993, 29(4): 36-42.
63 Liu Hongmin, Lian Jiachuang. Transverse Distribution of Front and Back Tension Stresses in Cold Strip Rolling. Chinese Journal of Metal Science and Technology, 1992, 8(6): 427-434.
64刘宏民,连家创,段振勇.大宽厚比冷轧带材压力摩擦力张力横向分布的研究.机械工程学报, 1994, 30(增刊): 9-14.
65 Liu Hongmin, Lian Jiachuang, Duan Zhenyong. Study on the asymmetrical cold strip rolling under large width to thickness ratio. Journal of Material Science and Technology, 1996, 12(3): 232-234.
66 Liu Hongmin, Zheng Zhenzhong, Peng Yan. Streamline strip element method for analysis of the three-dimensional stresses and deformations of strip rolling. International Journal for Numerical Methods in Engineering, 2001, 50(5): 1059-1076.
67 Liu Hongmin, Lian Jiachuang, Peng Yan. Third-power spline function strip element method and its simulation of the three-dimensional stresses and deformations of cold strip rolling. Journal of Materials Processing Technology, 2001, 116(2-3): 235-243.
68 Liu Hongmin, Peng Yan, Chu Yupeng, Wang Yingrui. Strip element method for shape discrimination of strip rolling. Communications in Numerical Methods in Engineering, 2004, 20(9): 709-720
69 Liu Hongmin, Jin Dan, Wang Yingrui. Strip layer method for simulation of the three-dimensional deformations of plate and strip rolling. Communications in Numerical Methods in Engineering, 2004, 20(3): 183-191.
70刘玉礼.板厚板形综合调节新型四辊轧机的试验与理论研究. [燕山大学工学博士学位论文]. 1999: 8-15.
71郑振忠,彭艳,刘宏民.研究冷轧带材三维变形的流线条元法.燕山大学学报, 2001, 25(1): 47-52.
72彭艳.基于条元法的HC冷轧机板形预设定控制理论研究及工业应用. [燕山大学工学博士学位论文]. 2000: 13-38.
73王英睿.三维条元法及其对热轧板带轧制过程的仿真. [燕山大学工学博士学位论文]. 2003: 45-80.
74杨利坡.板带轧制三维热力耦合条元法研究及仿真系统开发. [燕山大学工学博士学位论文]. 2006: 42-69.
75王东城.基于机理的带钢连轧机板形在线设定控制模型研究. [燕山大学工学博士学位论文]. 2009: 86-90.
76王君,王国栋.厚度计型变刚度控制系统研究.轧钢, 2001, 18(6): 3-5.
77陈建华,吴光蜀,李冰,等. AGC系统高精度厚度计公式的工程研究.轧钢, 2002, 19(5): 42-45.
78刘禹.铝箔轧机的厚度反馈控制.有色金属加工, 2003, 32(2): 61-62.
79陈至坤,镇维,张瑞成.基于自抗扰控制器的测厚仪反馈式控制系统.机床与液压, 2008, 36(8): 270-272, 298.
80徐光,杨节.前馈AGC的改进.武汉钢铁学院学报, 1990, 13(4): 392-396.
81王益群,孙孟辉,张伟,等. Smith预估控制在冷带轧机液压AGC前馈-反馈控制系统中的应用.液压与气动, 2007, (12): 36-39.
82李谋谓,邹立河.张力AGC模糊控制技术和高精度全密封张力传感器的研制.冶金设备, 1998, (1): 26-28.
83张进之.连轧过程张力控制系统的进化与分析.冶金设备, 2005, (6): 29-32.
84叶学卫,黄佩杰,许健勇.流量AGC在宝钢冷连轧机上的应用.冶金自动化, 2005, 29(4): 31-35.
85杨景明,韩宗刚,徐雅洁,等.秒流量液压AGC系统的动态仿真研究.冶金设备, 2006, (4): 1-4,17.
86陈德福,孙海波.动态设定型变刚度液压AGC系统在1400mm高速不可逆铝板轧机上的应用.一重技术, 1990, (3): 142-147.
87杨庆国.带钢热连轧机液压AGC变刚度分析.辽宁科技学院学报, 2008, 10(1): 14-15.
88李伯虎,柴旭东,朱文海,等.现代建模与仿真技术发展中的几个焦点.系统仿真学报, 2004, 16(9): 1871-1878.
89杨明,张冰,王子才.建模与仿真技术发展趋势分析.系统仿真学报, 2004, 16(9): 1901-1904,1913.
90李云峰.现代计算机仿真技术的研究与发展.计算技术与自动化, 2002, 21(4): 75-78, 83.
91熊光楞,彭毅.先进仿真技术与仿真环境.北京:国防工业出版社, 1997.
92崔建江,吴胜昔,袁枫华,等.仿真技术在冷连轧系统的应用及发展.系统仿真学报, 2001, 13(1): 86-88, 95.
93杨跃辉.热连轧轧制过程动态仿真.[河北理工大学工学硕士学位论文], 2006: 2-12.
94唐谋凤.现代带钢热连轧机自动化.北京:冶金工业出版社, 1988: 105-198.
95镰田正诚.板带连续轧制.李伏桃,陈岿,康永林译.北京:冶金工业出版社, 2002
96 Andreas Kugi, Kurt Schlacher, Rainer Novak. Nonlinear control in rolling mills: A new perspective . IEEE Transactions on Industry Application, 2001, 37(5): 1394-1402
97 B.H.Freyer, I.K.Craig, P.C. Pistorius. Gauge and tension control during the acceleration phase of a steckel hot rolling mill. ISIJ International, 2003, 43(10): 1562-1571
98 D.D. Wang, A.K. Tieu, C. Lu, etal. Modeling and optimization of threading process for shapecontrol in tandem cold rolling. Journal of Materials Processing Technology, 2003, 140 (1-3SPEC): 562-568.
99 Sansal K. Yildiz, J. Fraser Forbes , Biao Huang, etal. Dynamic modelling and simulation of a hot strip finishing mill. Applied Mathematical Modelling, 2009, 33(7): 3208-3225.
100 Eugenio Brusa, Luca Lemma. Numerical and experimental analysis of the dynamic effects in compact cluster mills for cold rolling. Journal of Materials Processing Technology, 2009, 209(5): 2436-2445.
101张进之.连轧张力变形微分方程的分析与讨论.钢铁, 1978, 4: 85-92.
102张进之.常用连轧张力微分方程的适用范围.钢铁研究学报, 2002, 14(5):73-76.
103张进之,赵厚信,王喆,等.连轧张力公式的实验验证和分析.中国工程科学, 2008, 10(4): 73-77.
104孙一康.带钢冷连轧计算机控制.北京:冶金工业出版社, 2002: 10-96.
105王艾伦,钟掘.复杂机电系统的全局耦合建模方法与仿真研究.机械工程学报, 2003, 39(4): 1-5.
106段吉安,钟掘.高速轧机工作界面的负阻尼特性.中南工业大学学报, 2002, 33(2): 401-404.
107 He Jianjun, Yu Shouyi, Zhong Jue. Analysis of electromechanical coupling facts of complicated electromechanical system. Transactions of Nonferrous Metals Society of China, 2002, 12(2): 301-304.
108潘学军,张承进,柴天佑.冷连轧过程仿真软件包的研制.系统仿真学报, 1998, 10(4): 20-21.
109铁鸣,柴天佑.冷连轧仿真系统虚拟对象级的设计要点.东北大学学报:自然科学版, 2007, 28(6): 761-764.
110宋美娟.冷连轧机动态过程的数值模拟.金属成型工艺, 2001, 19(2): 21-24.
111崔建江,袁枫华,徐心和.冷连轧机系统中过程优化计算机的建模与仿真.系统仿真学报, 2001, 13(6): 816-818,830.
112张大志,凌智,宋勇,等. 2030五机架冷连轧机动态仿真系统.北京科技大学学报, 2003,
25(3): 262-266.
113杨景明,宋维公,李鑫滨,等.冷带轧机液压厚控系统动态数学模型分析与测试.燕山大学学报, 1998, 22(1): 82-84.
114刘兴华.一种新压力AGC控制模型的研究.轧钢, 2000, 17(5): 55-57.
115王君,王国栋.各种压力AGC模型的分析与评价.轧钢, 2001, 18(5): 51-54.
116张伟,王益群.冷连轧机动态过程特性的建模与仿真.工程设计学报, 2002, 9(5): 271-274.
117张伟,王益群,高英杰.板带轧机液压压下系统的建模与仿真.液压与气动, 2004, (1): 21-24.
118张伟,王益群,孙孟辉.板带轧机自动厚度控制模型的研究.中国机械工程, 2008, 19(1): 95-98.
119王益群,张伟,高英杰,等.虚拟冷连轧机数字仿真研究.中国机械工程, 2003, 14(20): 1770-1773.
120王益群,方一鸣,孙登月,等. 2030冷连轧机速度控制系统的建模及电动机负载转矩的计算.机械工程学报, 2003, 41(3): 128-134.
121 Sun Dengyue, Du Fengshan, Xu Shimin, etal. Dynamic strip thickness simulation on five-stand cold continuous rolling mill. Journal of Iron and Steel Research, Internal, 2006,13(2): 30-32.
122王正林,童朝南,孙一康.带钢热连轧AGC系统实时仿真.北京科技大学学报, 2005, 27(5): 600-603.
123杨跃辉,郑申白.热连轧机的仿真研究.河北理工学院学报, 2005, 27(4): 31-35.
124郑申白,杨勇,范世军,等.轧制过程仿真现状及展望.河南冶金, 2007,15(1): 3-7.
125钟云峰,谭树彬,徐心和.板带轧机AGC变刚度控制的研究.冶金设备, 2006, (1): 15-18.
126谭树彬,钟云峰,刘建昌,等.轧机辊缝控制建模及仿真.系统仿真学报, 2006, 18(6): 1425-1427.
127谭树彬,钟云峰,徐心和.板带轧机变刚度控制的应用及仿真.系统仿真学报, 2006, 18(4): 1030-1032.
128赵丽娟,刘杰,徐涛.基于接口的轧机液压辊缝控制系统的多领域建模与协同仿真.系统仿真学报, 2007, 19(11): 2567-2570.
129赵丽娟,才宏,刘杰.四辊冷连轧机液压压下系统建模研究.机床与液压, 2006(2): 128-129.
130靳宝全,熊诗波,梁义维,等.考虑反馈机构动刚度的轧机伺服压下系统建模与仿真.中国机械工程, 2008, 19(11): 1330-1335.
131靳宝全,梁义维,熊诗波,等.考虑反馈机构机电耦合的压下系统振动分析.振动、测试与诊断, 2008, 28(2): 91-95.
132 Yarita I, Furukawam K, Seino Y. An analysis of chattering in cold rolling for ultra thin gage strip steel. Transactions of the Iron and Steel Institute of Japan, 1978, 18(1): 1-12.
133 Chefueux L, Fischbach J P, Gouzou J. Study and Industrial control of chater in cold rolling. Iron and Steel Engineer, 1984, 61(11): 17-26.
134 Yun, I. -S., Wilson W R D, Ehmann, K. F.. Chater in the strip rolling process, Part 1: Dynamic model of rolling. Transactions of the ASME: Journal of Manufacturing Science and Engineering, 1998, 120(2): 330-336.
135 Yun, I. -S., Wilson W R D, Ehmann, K. F.. Chater in the strip rolling process, Part 2: Dynamic rolling experiments. Transactions of the ASME: Journal of Manufacturing Science and Engineering, 1998, 120(2): 337-342.
136 Yun, I. -S., Wilson W R D, Ehmann, K. F.. Chater in the strip rolling process, Part 3: Chatter model. Transactions of the ASME: Journal of Manufacturing Science and Engineering, 1998, 120(2): 343-348.
137 Hu P H, Ehmann K F. A dynamic model of the rolling process. PartⅠ: Homogeneous Model. Int.J. Mach. Tools Manuf., 2000, 40: 1-19.
138 Hu P H, Ehmann K F. A dynamic model of the rolling process. PartⅡ: Homogeneous Model. Int. J. Mach. Tools Manuf., 2000, 40: 21-31.
139 Pei-Hua Hu, K F Ehmann. Stability analysis of chatter on a tandem rolling mill. Journal of Manufacturing Processes, 2000, 2(4): 217-224.
140 Yun-Jeng Lin. Characterization of dynamic instability in metal sheet rolling. Texas A&M university. 2002: 20-150.
141钟掘,徐乐江.带钢表面振纹的工业试验与发现.中国有色金属学报. 2000,10(2): 291-296.
142 TANG Huaping, DING Rui, WU Yunxin, etl. Investigation for parametric vibration of rolling mill. Trans. Nonferrous Met. Soc. China, 2002, 12(3): 485-488.
143段吉安,钟掘.高速轧机工作界面的负阻尼特性.中南工业大学学报, 2002, 33(2): 401-404.
144邹家祥,徐乐江.冷连轧机系统振动控制[M].北京:冶金工业出版社, 1998.
145陈勇辉,刘世元,廖广兰.四辊冷轧机三倍频振颤机理的研究.机械工程学报, 2003, 39(6): 118-123.
146陈勇辉,史铁林,杨叔子.四辊冷轧机非线性参激振动的研究.机械工程学报, 2003, 39(4): 56-60.
147令狐克志,何安瑞,杨荃,等.热轧带钢板形板厚反馈解耦控制.北京科技大学学报, 2007, 29(3): 338-341.
148杨景明,刘舒慧,车海军,等.一种结合模拟退火算法的BP网络冷连轧参数预报模型.钢铁, 2008, 43(7): 55-58, 90.
149 Zhang Li, Zhang Li-yong, Wang Jun, et al. Prediction of Rolling Load in Hot Strip Mill by Innovations Feedback Neural Networks. Journal of Iron and Steel Research, 2007, 14(2): 42-45, 51.
150 Mohieddine Jelali. Performance assessment of control systems in rolling mills-application to strip thickness and flatness control. Journal of Process Control, 2007, 17(10): 805-816.
151何海涛,刘宏民,蒋岳峰.具有伸长率分配计算功能的轧制力预报智能模型研究.钢铁, 2007, 14(2): 55-58.
152王粉花,孙一康,陈占英.基于模糊神经网络的板形板厚综合控制系统.北京科技大学学报, 2003, 25 (2): 182-184.
153 Luis E. Zárate, Fabrício R. Bittencout. Representation and control of the cold rolling process through artificial neural networks via sensitivity factors. Journal of Materials Processing Technology, 2008, 197(1-3): 344-362.
154 Joon-Sik Son, Duk-Man Lee, Ill-Soo Kim, etal. A study on on-line learning neural network for prediction for rolling force in hot-rolling mill. Journal of Materials Processing Technology, 2005, 162-163(15): 585-590.
155 J. S. Gunasekera, Zhengjie Jia, J. C. Malas, etal. Development of a neural network model for a cold rolling process. Engineering Applications of Artificial Intelligence, 1998, 11(5): 597-603.
156 P.P. Gudur, U.S. Dixit. A neural network-assisted finite element analysis of cold flat rolling. Engineering Applications of Artificial Intelligence, 2008, 21(1): 43-52.
157赵琳琳,方一鸣,仲伟峰,等.冷带轧机厚控系统自适应鲁棒输出反馈动态控制器设计.控制理论与应用, 2008, 25(4): 787-790.
158 Pierre Montmitonnet. Hot and cold strip rolling processes. Computer Methods in Applied Mechanics and Engineering, 2006, 195(48-49): 6604-6625.
159梅生伟,申铁龙,刘康志.现代鲁棒控制理论与应用.北京:清华大学出版社, 2003: 61-116.
160杨斌虎,杨卫东,陈连贵.基于结构奇异值μ综合的热轧带钢AGC鲁棒控制控制理论与应用2008, 25(2): 299-302.
161方一鸣,陆金波,刘仙,等.冷连轧机张力系统H∞混合灵敏度鲁棒控制器设计.系统仿真学报, 2004, 16(8): 1812-1815.
162连家创,段振勇,刘志勇.四辊轧机横向振动固有频率研究.机械工程学报, 1983, 19(3): 1-10.
163杨其俊,连家创.四辊轧机横向振动固有频率计算的改进.东北重型机械学院学报, 1994, 18(3): 198-203.
164 ONISZCZUK Z. Free transverse vibration of an elastically connected complex simply supported double-beam system. Journal of sound and vibration, 2003, 232(2): 387-403.
165 ONISZCZUK Z. Forced transverse vibration of an elastically connected complex simply supported double-beam system. Journal of sound and vibration, 2003, 264(2): 273-286.
166 ONISZCZUK Z. Free transverse vibration of an elastically connected rectangular simply supported double-plate complex system. Journal of sound and vibration, 2000, 236(4): 595-608.
167 ONISZCZUK Z. Forced transverse vibrations of an elastically connected complex rectangular simply supported double-plate system. Journal of sound and vibration, 2004, 270(4-5): 997-1011.
168 ONISZCZUK Z. Free transverse vibration of an elastically connected complex beam string system. Journal of sound and vibration, 2002, 254(4): 703-715.
169 Seong-Min Kim, Yoon-Ho Cho.Vibration and dynamic buckling of shear beam-columns on elastic foundation under moving harmonic loads. International Journal of Solids and Structures, 2006, 43(3-4): 393-412.
170 Jun Li, Hongxing Hua. Dynamic stiffness vibration analysis of an elastically connected three-beam system. Applied Acoustics, 2008, 69(7): 591-600.
171 Jun Li, Hongxing Hua. Spectral finite element analysis of elastically connected double-beam systems. Finite Elements in Analysis and Design, 2007, 43(15): 1155-1168.
172 Zhang Y. Q., Lu Y., Ma G. W.. Effect of compressive axial load on forced transverse vibrations of a double-beam system. International Journal of Mechanical Sciences, 2008, 50(2): 299-305.
173 Yongqiang Zhang, Guirong Liu, Xu Han. Transverse vibrations of double-walled carbon nanotubes under compressive axial load. Physics Letters A , 2005, 340: 258-266.
174 Y.Q. Zhang, X. Liua, J.H. Zhao. Influence of temperature change on column buckling ofmultiwalled carbon nanotubes. Physics Letters A, 2008, 372: 1676-1681.
175 Kai-Yu Xu, Elias C. Aifantis, Yong-Hua Yan. Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes. Journal of Applied Mechanics, Transactions ASME, 2008, 75(2): 0210131-0210139.
176 C. Sun, K. Liu. Vibration of multi-walled carbon nanotubes with initial axial loading. Solid State Communications, 2007, 143 (4-5): 202–207.
177 Metin Aydogdu. Vibration of multi-walled carbon nanotubes by generalized shear deformation theory. International Journal of Mechanical Sciences, 2008, 50 (4): 837-844.
178 Aydogdu Metin. Effects of shear deformation on vibration of doublewalled carbon nanotubes embedded in an elastic medium. Archive of Applied Mechanics, 2008, 78(9): 711-723.
179 Oz H.R., Pakdemirli M., Boyaci H. Non-linear vibrations and stability of an axially moving beam with time-dependent velocity. International Journal of Non-Linear Mechanics, 2001, 36(1): 107-115.
180 Oz H.R.. On the nonlinear transverse vibrations and stability of an axially accelerating beam. Mathematical and Computational Applications, 2000, 5(3): 157-167.
181 Pakdemirli M., Oz H.R.. Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations, Journal of Sound and Vibration, 2008, 311(3-5): 1052-1074.
182 Xiao-DongYang, Li-Qun Chen. Stability in parametric resonance of axially accelerating beams constituted by Boltzmann’s superposition principle. Journal of Sound and Vibration, 2006, 289 (1-2): 54-65.
183 Li-Qun Chen, Xiao-Dong Yang. Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models. International Journal of Solids and Structures, 2005, 42(1): 37-50.
184李晓军,陈立群.关于两端固定轴向运动梁的横向振动.振动与冲击, 2005, 24(1): 22-24.
185杨晓东,陈立群.变速度轴向运动粘弹性梁的动态稳定性.应用数学与力学, 2005, 26(8): 905-910.
186杨晓东,陈立群.粘弹性变速运动梁稳定性的直接多尺度分析.振动工程学报, 2005, 18(2): 223-226.
187 Li-Qun Chen, Xiao-Dong Yang. Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation. Chaos, Solitons and Fractals, 2006, 27(3): 748-757.
188李晓军,陈立群.平带驱动系统耦合振动的模态分析.应用数学与力学, 2008, 29(1): 8-12.
189张伟,温洪波,姚明辉.黏弹性传送带1:3内共振时的周期和混沌振动.力学学报, 2004, 36(4): 443-454.
190张红星,张伟,姚明辉,等.粘弹性传动带非线性振动实验研究.动力学与控制学报, 2007, 5(4): 361-364.
191罗善明,郭迎福,余以道,等.磁力金属带传动的动力学模型及其振动特性研究.湖南科技大学学报(自然科学版), 2005, 20(4): 30-33.
192时彧,刘义伦,罗善明.磁力辅助金属带传动的振动分析, 2006, 21(2): 64-67.
193冯志华,朱晓东,兰向军.轴向运动纱线非线性动力学.苏州大学学报(工科版), 2004, 24(5): 23-26.
194黄建亮,陈树辉.轴向运动体系非线性振动分析的多元L-P方法.中山大学学报(自然科学版), 2004, 43(4): 115-117, 121.
195黄建亮,陈树辉.轴向运动体系横向非线性振动的联合共振.振动工程学报, 2005, 18(1): 19-22.
196殷振坤,陈树辉.轴向运动薄板非线性振动及其稳定性研究.动力学与控制学报, 2007, 5(4): 314-319.
197侯志勇,王忠民.轴向运动薄膜的横向振动和稳定性分析.西安理工大学学报, 2005, 21(4):
402-404.
198 A. Swiatoniowski, A. Bar. Parametrical excitement vibration in tandem mills-mathematical model and its analysis. Journal of materials processing technology, 2003(134): 214-224.
199 A.Bar, O.Bar. Types of mid-frequency vibrations appearing during the rolling mill operation. Journal of materials processing technology, 2005(162): 464-464.
200 J. Niziol, A. Swiatoniowski. Numerical analysis of the vertical vibration of rolling mills and their negative effect on the sheet quality. Journal of materials processing technology, 2005(162): 546-550.
201 A. Bar, A. Swiatoniowski. Interdependence between the rolling speed and non-linear vibrations of the mill system. Journal of materials processing technology, 2004(155-156): 2116-2121.
202 C.H. Kim, N.C. Perkins, C.W. Lee. Parametric resonance of plates in a sheet metal coating process. Journal of sound and vibration, 2003, 268: 679-697.
203 Tang Hua-ping, Ding Rui, Wu Yun-xin. Investigation for parametric vibration of rolling mill. Trans. Nonferrous Met. Soc. China, 2002, 12(3): 485-488.
204杨景明. IGC650HCW冷带轧机控制系统关键技术研究. [燕山大学工学博士学位论文]. 2000:10-17.
205张小平,张少琴,张进之,等.板形理论与板形控制技术的发展.塑性工程学报, 2005, 12(7):12-21.
206张伟,王益群,孙梦辉.板带轧机自动厚度控制模型的研究.中国机械工程, 2008, 19(1): 95-98.
207王粉花.二机架可逆冷连轧板厚板形综合控制系统的研究. [北京科技大学博士学位论文]. 2003: 2-10.
208吴文斌.板形控制新技术在宝钢2030冷轧轧机的应用与研究. [东北大学博士学位论文]. 2003: 1-20.
209 Remn-Min Guo. Modeling and simulation of run-out table cooling control usingfeedforward-feedback and Element tracking system. IEEE Transaction on Industry Application, 1997, 33(2): 304-311.
210 Remn-Min Guo. Optimal profile and shape control of flat sheet metal using multiple control devices. IEEE Transaction on Industry Application, 1996, 32(2): 449-457.
211张秀玲,刘宏民.板形控制的传递矩阵方法.机械工程学报, 2003, 39(11): 83-87.
212连家创,戚向东,岳晓丽,等.最优辊型技术的开发和应用.钢铁, 2007, 42(10): 15-18.
213杨利坡,周涛,彭艳,等. HC可逆冷轧机轧辊失效改进措施的试验研究.钢铁, 2006, 41(5): 57-60.
214王英睿,崔振山,袁建光. 4辊CVC热带钢连轧机轧制过程的仿真.钢铁, 2005, 40(12): 46-49, 63.
215张显库,贾欣乐.一种简化的H∞控制混合灵敏度算法.控制理论与应用, 2001, 18(2): 307-309, 313.
216薛定宇,陈阳泉.基于MATLAB/SIMULINK的系统仿真技术与应用.北京:清华大学出版社, 2002: 80-150.
217代冀阳,李艳霞,万卫强,等.采用进化算法优化H∞加权阵的选取.南昌航空工业学院学报, 2002, 16(3): 38-43.
218雷英杰. MATLAB遗传算法工具箱及应用.西安:西安电子科技大学出版社, 2005: 20-96.
219郑申白,韩静涛,王江.连轧张力运动力学稳态方程.钢铁研究学报, 2005, 17(6): 39-42.
220曹志远.板壳振动理论.北京:中国铁道出版社, 1983: 40-160.