石材锯切加工中圆锯片的振动研究
|
摘要
论文在剖析石材锯切过程中圆锯片横向振动的研究现状及存在问题的基础上，从理论和实验两个方面展开对圆锯片横向振动的研究，论文的主要研究工作概括如下：
1、对石材锯切过程中圆锯片横向振动的测量方法进行了研究，为了测量圆锯片的横向绝对振动，采用了三种去除传感器安装基准点振动的方法，并对三种方法进行了实验对比。
2、对石材锯切过程中圆锯片的横向振动进行了理论建模和实验研究，分析了横向振动信号的时域和频域特性，研究了锯切参数对圆锯片横向振动的影响及横向振动与轴向力的关系，并将解析解与实验结果作了比较分析。
3、运用ANSYS/LS-DYNA软件对圆锯片锯切花岗石的过程进行了仿真，分析了圆锯片在空转和锯切两种状态下的横向振动特性，并研究了开槽圆锯片的横向振动以及径向槽的个数对圆锯片横向振动的影响。
通过实验研究和理论分析，本文得到如下结论：
1、根据石材锯机自身的运动特点，要想测得锯切过程中圆锯片的横向绝对振动，采用非接触测量方法不能解决位移传感器安装点自身的振动问题。在圆锯片上贴电阻应变片，基于无线传感网络实现圆锯片应变信号的实时采集，能实现石材锯切时圆锯片横向绝对振动的可靠测量。
2、通过锯切花岗石的实验发现，在空转状态下，圆锯片的轴向变形和轴向振动均随着转速的增大而增大；当圆锯片空转转速较高时，横向振动在频域内表现为非线性振动。锯切时圆锯片的横向振动表现为弱非线性特性。
3、实验表明，圆锯片的轴向变形随切深的增大而增大、随进给速度的增大而增大、随锯片线速度的增大而减小；轴向振动随切深的增大而减小、随锯片线速度的增大而增大，随进给速度的增大而增大。
4、锯切实验中，在圆锯片完全切入花岗石阶段，横向振动、轴向变形均表现为明显的周期性，周期的长度为圆锯片旋转一周所需的时间，轴向振动的周期性相对较弱。
5、不同的参数组合下锯切花岗石，圆锯片的轴向变形与所受的轴向力呈近似的线性关系。在锯路形成的过程中，锯片所受的轴向力与轴向变形的变化趋势基本相同。
6、运用弹性薄板小挠度弯曲的基本理论，将圆锯片简化成一个中间固支、周边自由的圆板，推导出了圆锯片在集中轴向力作用下的横向振动极坐标方程。
7、将一个周期的轴向变形实验结果与解析模型计算结果进行了对比，实验结果和解析解基本吻合，验证了所建立的解析模型是正确的。
8、有限元分析发现，锯切花岗石时，圆锯片在锯切弧区附近的区域轴向变形较大，说明此时圆锯片的轴向变形主要受锯缝约束的影响。仿真所得圆锯片一整周的横向振动趋势与解析、实验的轴向变形结果相似。
9、基体上开径向槽会减小圆锯片的轴向变形，圆锯片轴向变形的最大值随径向槽个数的增多呈减小的趋势，但减小的幅度不大。
Based on the analysis on the research status of transverse vibration of the circularsaw and the existing problem, theoretical and experimental study on transversevibration of the circular saw has been conducted. The main work of this thesis can besummarized as follows:
1. The measurement method for transverse vibration of circular saw in sawing ofstone has been studied. In order to measure the transverse absolute vibration, threeways to remove vibration from sensor mounting reference point have been proposedand compared with each other according to experimental results.
2. Theoretical models and experimental studies on transverse vibration of circularsaw in sawing of stone have been conducted. Features of transverse vibration signalshave been analyzed in time and frequency domain respectively. The influence ofsawing parameters on transverse vibration of circular saw and the relationshipbetween transverse vibration and axial force have been studied. Analytical solutionshave been compared with experimental results.
3. The process of granite sawing by circular saw has been simulated using softwareof ANSYS/LS-DYNA. Transverse vibration characteristics of circular saw in idlingand sawing states have been analyzed. Then, transverse vibration of circular saw withradial slots has been studied. And the number of radial slots effecting on transversevibration has been also discussed.
Through experimental study and theoretical analysis, the following achievementsand conclusions can be obtained:
1. In terms of the motion characteristics of stone sawing machine, in order tomeasure the transverse absolute vibration of circular saw in the sawing process, usingnon-contact measurement method can’t solve the vibration problem caused by sensormounting reference point. Another method has been adopted by using strain gagesstuck on the circular saw. Strain signals have been measured online by a developed wireless sensor measuring system, which can realize the reliable measurement oftransverse absolute vibration of circular saw in stone sawing process.
2. According to the granite sawing experiment, we found that the axial deformationand axial vibration of the circular saw increase with rotating speed in idling state. Infrequency domain, transverse vibration shows as nonlinear vibration at higher idlingrotating speed and weakly nonlinear during the stone sawing process.
3. The experiments results also show that axial deformation of circular sawincreases with the depth of cut and the feed speed, and decreases with the increasingrotating speed. Axial vibration increases with the feed speed and the rotating speed,and decreases with the increasing depth of cut.
4. In the experiment, we found that transverse vibration and axial deformationfeatured obvious periodicity. The period is equal to that of circular saw. But theperiodicity of axial vibration is relatively weak.
5. When sawing granites with different parameters combinations, there is anear-linear relationship between axial deformation of the circular saw and axial forceon it. In kerf forming process, the change tendency of axial deformation and axialforce is similar.
6. Using the bending theory of small deformation for thin elastic plate，circular sawis simplified to a disk clamped on center and freed on edge. The transverse vibrationpolar equation of circular saw under the concentrated axial force has been deduced.
7. The results of axial deformation in a period from experiment have beencompared with those from analytical model calculation. The similar results haveverified the correctness of the established analytical model.
8. Through the FEM analysis, it has been found that in the granite sawing process,larger axial deformation of circular saw happens near the sawing arc zone. The resultsindicate that axial deformation of circular saw is mainly affected by constraint of thesaw kerf. In a cycle of the circular saw, the tendency of transverse vibration given byFEM simulation is similar to that of axial deformation by analysis and experiment.
9. Axial deformation has been reduced after incision of equally spaced radial slotson the steel core. The maximum axial deformation of the circular saw decreases withincreasing numbers of slot. But the decreasing range is small.
1、对石材锯切过程中圆锯片横向振动的测量方法进行了研究，为了测量圆锯片的横向绝对振动，采用了三种去除传感器安装基准点振动的方法，并对三种方法进行了实验对比。
2、对石材锯切过程中圆锯片的横向振动进行了理论建模和实验研究，分析了横向振动信号的时域和频域特性，研究了锯切参数对圆锯片横向振动的影响及横向振动与轴向力的关系，并将解析解与实验结果作了比较分析。
3、运用ANSYS/LS-DYNA软件对圆锯片锯切花岗石的过程进行了仿真，分析了圆锯片在空转和锯切两种状态下的横向振动特性，并研究了开槽圆锯片的横向振动以及径向槽的个数对圆锯片横向振动的影响。
通过实验研究和理论分析，本文得到如下结论：
1、根据石材锯机自身的运动特点，要想测得锯切过程中圆锯片的横向绝对振动，采用非接触测量方法不能解决位移传感器安装点自身的振动问题。在圆锯片上贴电阻应变片，基于无线传感网络实现圆锯片应变信号的实时采集，能实现石材锯切时圆锯片横向绝对振动的可靠测量。
2、通过锯切花岗石的实验发现，在空转状态下，圆锯片的轴向变形和轴向振动均随着转速的增大而增大；当圆锯片空转转速较高时，横向振动在频域内表现为非线性振动。锯切时圆锯片的横向振动表现为弱非线性特性。
3、实验表明，圆锯片的轴向变形随切深的增大而增大、随进给速度的增大而增大、随锯片线速度的增大而减小；轴向振动随切深的增大而减小、随锯片线速度的增大而增大，随进给速度的增大而增大。
4、锯切实验中，在圆锯片完全切入花岗石阶段，横向振动、轴向变形均表现为明显的周期性，周期的长度为圆锯片旋转一周所需的时间，轴向振动的周期性相对较弱。
5、不同的参数组合下锯切花岗石，圆锯片的轴向变形与所受的轴向力呈近似的线性关系。在锯路形成的过程中，锯片所受的轴向力与轴向变形的变化趋势基本相同。
6、运用弹性薄板小挠度弯曲的基本理论，将圆锯片简化成一个中间固支、周边自由的圆板，推导出了圆锯片在集中轴向力作用下的横向振动极坐标方程。
7、将一个周期的轴向变形实验结果与解析模型计算结果进行了对比，实验结果和解析解基本吻合，验证了所建立的解析模型是正确的。
8、有限元分析发现，锯切花岗石时，圆锯片在锯切弧区附近的区域轴向变形较大，说明此时圆锯片的轴向变形主要受锯缝约束的影响。仿真所得圆锯片一整周的横向振动趋势与解析、实验的轴向变形结果相似。
9、基体上开径向槽会减小圆锯片的轴向变形，圆锯片轴向变形的最大值随径向槽个数的增多呈减小的趋势，但减小的幅度不大。
Based on the analysis on the research status of transverse vibration of the circularsaw and the existing problem, theoretical and experimental study on transversevibration of the circular saw has been conducted. The main work of this thesis can besummarized as follows:
1. The measurement method for transverse vibration of circular saw in sawing ofstone has been studied. In order to measure the transverse absolute vibration, threeways to remove vibration from sensor mounting reference point have been proposedand compared with each other according to experimental results.
2. Theoretical models and experimental studies on transverse vibration of circularsaw in sawing of stone have been conducted. Features of transverse vibration signalshave been analyzed in time and frequency domain respectively. The influence ofsawing parameters on transverse vibration of circular saw and the relationshipbetween transverse vibration and axial force have been studied. Analytical solutionshave been compared with experimental results.
3. The process of granite sawing by circular saw has been simulated using softwareof ANSYS/LS-DYNA. Transverse vibration characteristics of circular saw in idlingand sawing states have been analyzed. Then, transverse vibration of circular saw withradial slots has been studied. And the number of radial slots effecting on transversevibration has been also discussed.
Through experimental study and theoretical analysis, the following achievementsand conclusions can be obtained:
1. In terms of the motion characteristics of stone sawing machine, in order tomeasure the transverse absolute vibration of circular saw in the sawing process, usingnon-contact measurement method can’t solve the vibration problem caused by sensormounting reference point. Another method has been adopted by using strain gagesstuck on the circular saw. Strain signals have been measured online by a developed wireless sensor measuring system, which can realize the reliable measurement oftransverse absolute vibration of circular saw in stone sawing process.
2. According to the granite sawing experiment, we found that the axial deformationand axial vibration of the circular saw increase with rotating speed in idling state. Infrequency domain, transverse vibration shows as nonlinear vibration at higher idlingrotating speed and weakly nonlinear during the stone sawing process.
3. The experiments results also show that axial deformation of circular sawincreases with the depth of cut and the feed speed, and decreases with the increasingrotating speed. Axial vibration increases with the feed speed and the rotating speed,and decreases with the increasing depth of cut.
4. In the experiment, we found that transverse vibration and axial deformationfeatured obvious periodicity. The period is equal to that of circular saw. But theperiodicity of axial vibration is relatively weak.
5. When sawing granites with different parameters combinations, there is anear-linear relationship between axial deformation of the circular saw and axial forceon it. In kerf forming process, the change tendency of axial deformation and axialforce is similar.
6. Using the bending theory of small deformation for thin elastic plate，circular sawis simplified to a disk clamped on center and freed on edge. The transverse vibrationpolar equation of circular saw under the concentrated axial force has been deduced.
7. The results of axial deformation in a period from experiment have beencompared with those from analytical model calculation. The similar results haveverified the correctness of the established analytical model.
8. Through the FEM analysis, it has been found that in the granite sawing process,larger axial deformation of circular saw happens near the sawing arc zone. The resultsindicate that axial deformation of circular saw is mainly affected by constraint of thesaw kerf. In a cycle of the circular saw, the tendency of transverse vibration given byFEM simulation is similar to that of axial deformation by analysis and experiment.
9. Axial deformation has been reduced after incision of equally spaced radial slotson the steel core. The maximum axial deformation of the circular saw decreases withincreasing numbers of slot. But the decreasing range is small.
引文
[1]徐西鹏.岩石材料的金刚石锯切研究进展.机械工程学报，2003，39(9)：17~21
[2]高伟，刘镇昌，王霖，等.石材锯切机理与金刚石工具磨损机理的研究现状.工具技术，2002，36(8)：11~15
[3]邹家详，等.圆锯片的动态特性.北京科技大学学报，1994，16(11)：94~97
[4]马建敏，黄协清，陈天宁.圆盘锯片振动特性的计算分析.机械科学与技术，1999，18(3)：366~368
[5] H.Y. Fang, Y. Li, H. Huang, and X. P. Xu. Effects of Cutting Parameters on the TransverseVibration of Diamond circular saw blade. Advanced Material Research,2010.667~671
[6]熊国良，李骏.任意力作用下旋转圆盘的动态模型.华东交通大学学报，2003，20(1)：75~78
[7]吴佳宾.基于有限元法的金属圆锯片动态特性研究：[硕士学位论文].天津:河北工业大学，2005
[8] H. Lamb, R. V. Southwell. The vibration of spinning disk. Proceedings of the Royal Society,1921.272~80
[9] D. S. Dugdale. Stiffness of a spinning disc clamped at its center. J.Mech.Phys.Solids,1966.41~47
[10] E.Marui, S.Ema and R.Miyachi. An experimental investigation of circular saw vibration viaa thin plate model. International Journal of Machine Tools and Manufacture,1994.893~905
[11] W.H.Cheng, Yokochi, Hideyuki, Kimura, Shiro, Mano, Kiyohito. Dynamic characteristicsof circular saws in the region of the critical rotation speed. Journal of the Japan WoodResearch Society,2000.311~319
[12] Arvind Raman and C.D.Mote.Jr. Remarks on the non-linear vibration of an axisymmetriccircular disk near critical speed[J]. International Journal of Non-Linear Mechanics.2002,37(1):35~41.
[13] N.Baddour and J.W.Zu. A revisit of spinning disk models.Part II:linear transversevibrations. Applied Mathematical Modelling,2001.561~578
[14] Richard Szymani, C.D.Mote,Jr. A Review of Residual Stresses and Tensioning in CircularSaws. Wood Science and Technology,1974.148~161
[15] G.S.Schajer, C.D.Mote,Jr. Analysis of Roll Tensioning and its Influence on Circular SawStability. Wood Science and Technology,1983.287~302
[16] G.S.Schajer. Simple Formulas for Natural Frequencies and Critical Speeds of Circular Saws.Forest Products Research Society,1986.37~43
[17] M.C.Leu, C.D.Mote,Jr. Origin of Idling Noise in Circular Saws and Its Suppression. WoodScience and Technology,1984.33~49
[18] I.Y.Shen, Y.Song. Stability and Vibration of a Rotating Circular Plate Subjected toStationary In Plane Edge Loads. Journal of Applied Mechanics,1996.121~127
[19] J.S. Chen. Parametric Resonance of a Spinning Disk Under Space-Fixed Pulsating EdgeLoads[J]. Journal of Applied Mechanics,1997.139~143
[20] J.Tian, S.G.Hutton. Cutting-Induced Vibration in Circular Saws. Journal of Sound andVibration,2001.907~922
[21] C.D. Mote, Stability of circular plates subjected to moving loads. Franklin Inst,1970.329~344
[22] RC.Yu, C.D.Mote. Vibration and Parametric Excitation in Asymmetric Circular Platesunder Moving Loads. Journal of Sound and Vibration,1987.409~427
[23] G.L.Xiong, H.Chen, J.M.Yi. Instability Mechanism of a Rotating Disc Subjected to VariousTransverse Interactive Forces. Journal of Materials Processing Technology,2002.534~538
[24] G.H.Jang, S.H.Lee, M.S.Jung. Free vibration analysis of a spinning flexible disk-spindlesystem supported by ball bearing and flexible shaft using the finite element method andsubstructure synthesis. Journal of Sound and Vibration,2002.59~78
[25] J.S. Chen. Vibration control of a spinning disk. International Journal of MechanicalSciences,2003.1269～1282
[26] B.W. Huang, J.H. Kuang. Variation in the stability of a rotating blade disk with a localcrack defect. Journal of Sound and Vibration,2006.486～502
[27]刘培锷.热锯机齿形分析和齿形参数的计算方法.重型机械，1985，9(2)：31~36
[28]李黎，习宝田，杨永福.圆锯片振动、动态稳定性及其控制技术的研究——圆锯片的振动分析和动态稳定性.木工机床，2002，(2)：5~10
[29]李黎，习宝田，杨永福.圆锯片振动、动态稳定性及其控制技术的研究——提高圆锯片动态稳定性的技术方法.木工机床，2002，(3)：1~6
[30]李传信，耿德旭.普通圆锯片固有频率的理论探讨.吉林林学院学报，1996，12(3)：159~163
[31]徐东镇.锯切时夹盘圆锯片横向振动特性研究：[硕士学位论文].南京：南京林业大学，2006
[32]张家谔，段国林，姚涛，蔡瑾.圆锯片横向再生颤振模型及计算.噪声与振动控制，2010，(6)：5~9
[33] C.D.Jr. Mote. Stability control analysis of rotating plates by finite element: Emphasis onslots and holes. J. Dyn. Meas. Control, Trans. ASME94G,1972.64~70
[34] D.S. Dugdale. Flexure of thin plates containing internal stress. Int. J Eng. Sci,1968.239~249
[35] R. Szymani, C D. Mote. Theoretical and experimental analysis of circular. Wood ScienceTechnology,1979.211~237
[36] C.D.Jr. Mote, S. Holeyen. The temperature distribution in circular saws during cutting.Norsk Tretenisk Institutt Medd,1973
[37] C.D.Jr. Mote, S. Holeyen. Confirmation of the critical speed stability theory forsymmetrical circular saw. Trans.ASME,1975.1112~1118
[38] L.T. Nieh, C.D.Jr. Mote. vibration and stability in thermally stressed rotating disks.Experimental Mechanics,1975.58~264
[39] C.D. Mote. Theory of thermal natural frequency variations in disks. International Journal ofMechanical Sciences,1966.547~557
[40] C.D.Jr. Mote, G.S. Schajer, Holoyen S.Circular Saw Vibration Control By Induction OfThermal Membrane Stresses. American Society of Mechanical Engineers,1980
[41]母德强，崔高健，陈塑寰.辊压适张度处理对圆锯片临界转速的影响.机械工程学报，2001，37(9)：30~33
[42]母德强，崔高健.辊压处理对圆锯片动态稳定性的影响.长春工业大学学报，2002，23(8)：9~13
[43]母德强，陈塑寰.圆锯片最佳辊压适张度处理位置的分析.林业科学，2001，37(2)：84~89
[44]张占宽，习宝田.圆锯片局部受轴向压力作用下的塑性变形及强化.木材加工机械，2002，(2)：2~4
[45]钱桦，习宝田.淬火圆锯片回火残余应力的研究.北京林业大学学报，2005，27(2)：107~110
[46]撒潮，习宝田.圆锯片适张度量化分析方法的研究.木材工业，1995，8(3)：26~29
[47] C. Sa, B.T. Xi, L. Li. An Approach to Detecting Tension of a Circular Saw. Forestry Studiesin China,1999.4~70.
[48]李黎，习宝田，杨永福.圆锯片上热应力及回转应力的分析.北京林业大学学报，2002，24(3)：14~17
[49]李黎，习宝田，等.圆形薄板的温度分布及热变形.北京林业大学学报，2004，26(1)：74~78
[50] RC. Yu, C.D.Jr. Mote. Vibration behaviors of circular saws with slots. Holz alsRoh-undWerkstoff,1987.155~160
[51] Y.K. Wang, C.D.Jr. Mote. Analysis of an arbitrary shaped guide bearing subject to normaloscillation and translation of a plate. Wear,1996.115~121
[52] K.J. Hayasaka, etc. Investigation on generation of vibration and noise of diamond circularsaw blades(2nd Report)-observation of a mode of vibrationand the air flow. SeimitsuKogaku Kaishi/Journal of the Japan Society forPrecision Engineering,1998.399~402
[53] D.A. Bies. Circular saw aerodynamic noise.Journal of Sound and Vibration.1992.495~513
[54] W.F. Reiter, R.F. Keltie. On the nature of idling noise of circular saw blades. Journal ofSound and Vibration,1976.531~543
[55] K. Yanagimoto, C.D. Mote, R.Ichimiya.Vortex Shedding Noise Control in Idling CircularSaws Using Air Ejection at the Teeth. Journal of Sound and Vibration,1994.277~282
[56] Singh, Rajendra. The effect of radial slots on the noise of idling circular saws. NoiseControl Engineering Journal,1988.167~172
[57] Beljo-Lucic Ruzica, Goglia, Vlado. Suppression of whistling noise in idling circular saw bydamping of clamping system. Drevarsky Vyskum/Wood Research,2002.19~26
[58] M.F. De Vries, etc. on the reduction of noise in circular sawing. Alberta Research Council,Information Series North Am Metalwork Res.Conf,2nd, Proc May20-22,1974.22~34
[59] N. Satoru, M. Etsuo. Effects of slots on the lateral vibration of a circular saw blade.International Journal of Machine Tools and Manufacture,1996.771~787
[60] W.D.Collin, influence of geometry and segment spacing on diamond saw performance[J].Industrial Diamond Review,1977.48~54
[61]朴永守，王平，孙正和，王岩.热膨胀槽对硬质合金圆锯片横向振动的影响.东北林业大学学报，1993，21(3)：39~45
[62]崔文彬，孙道棪.开周向槽圆锯片动态特性的有限元法研究.北京林业大学学报，1995，17(2)：74~78
[63]毛永亮.开槽圆锯片振动特性研究及结构优化：[硕士学位论文].河北：河北工业大学，2008
[64]张东梅，尚春民，乔彦峰.圆锯片振动频率的控制方法.噪声与振动控制，2005，(4)：52~54
[65]张淑贵.高速锯切用超薄超短齿金刚石锯片设计及试验研究：[硕士学位论文].泉州：华侨大学，2007
[66] J. Tian, S.G. Hutton. Cutting-induced Vibration in Circular Saws. Journal of Sound andVibration,2001.907~922
[67] G. Pahlitzsch, B. Rowinski. über das Schwingungsverhalten vonKreiss gebl ttern.1.Mitteilung: Bestimmung und Auswirkungen der geometrischen Formund des Vorspannungszusandes der Ss gebl tter. Holz Roh-Werkstoff,1966.125~134
[68] G. Pahlitzsch, B. Rowinski. über das Schwingungsverhalten vonKreiss gebl ttern.1.Mitteilung: Ermittlung und Auswirkungen der kritischen Drehzahlenund Eigenfrequenzen der Ss gebl tter. Holz Roh-Werkstoff,1966.341~346
[69] V.K. Pashkov, V.G. Vodalev. Nomogram for selecting working schedules for circularsaws[J]. Lesn. Zh.,1971.57~60
[70] G.S. Schajer, S.A. Wang. Effect of workpiece interaction on circular saw cutting stabilityII：Experimental results. Holz als Roh-und Werkstoff,2002.48~54
[71]解振华.硅晶片内圆锯切过程的振动研究：[硕士学位论文].广东：广东工业大学，2005
[72]李远.花岗石超大切深锯切机理与技术研究：[博士学位论文].泉州：华侨大学，2004
[73]张涛.金刚石圆锯片轴向变形测试系统构建与实验研究：[硕士学位论文].泉州：华侨大学，2010
[74]王成勇，胡映宁，王智伟，丁海宁.干切混凝土时金刚石锯片振动及噪声的研究.超硬材料工程，2005，17(6)：1~6
[75] T.A. McLauchlan. Recent development in circular rip swing. Forest Prod,1972.42~48
[76] G.S. Schajer, S.A. Wang. Effect of workpiece interaction on circular saw cutting stability.I：Theoretical background. Holz als Roh-und Werkstoff,2001.388~393
[77]路鹏程，陈欣，习宝田.浮动导向木工圆锯的研究.林产工业，1995，1(4)：19~21
[78]李庆华.高速回转圆盘薄片刀具横向振动的控制研究：[博士学位论文].吉林：吉林大学，2007
[79]吴德华，陈先.水射流减振降噪方法在石材切边机上的试验研究.石材，1995，3：19~22
[80]杨庆斌.金刚石圆锯片横向振动控制的实验研究：[硕士学位论文].泉州：华侨大学，2010
[81]熊晓燕.复杂机械系统动态特性分析和实验辨识方法的研究：[博士学位论文].太原：太原理工大学，2008
[82]王济，胡晓. Matlab在振动信号处理中的应用.北京：中国水利水电出版社，2006.69~105
[83]张贤达.现代信号处理(第二版).北京：清华大学出版社，2002.485~552
[84]沈凤麟，叶中付，钱玉美.信号统计分析与处理.中国科学技术大学出版社，2001.133~136
[85]韩松，徐政，武诚.利用相关分析的区间振荡振型快速估计方法.高电压技术，2011，37(2)：436~443
[86] http://hi.baidu.com/jessure/blog/item/dd9c3c557b3ad4998d543001.html
[87] B. Denkena, H.K.Tonshoff, T. Friemuth, T.Glatzel: Key Engineering Materials,2003.21~32
[88]刘国强，薛春芳，王丹杰.基于应变测量法的几种典型悬臂梁的挠度测量.装甲兵工程学院学报，2006，20(5)：54~57
[89]刘鸿文.材料力学.北京：高等教育出版社，2004.1~7
[90]贾秀丽.大惯量转动设备的振动分析与研究：[硕士学位论文].北京：中国石油大学，2010
[91]房怀英，李远，徐西鹏.轴向力对圆锯片轴向变形的影响研究.中国机械工程，2011，22(8)：966~970
[92]王天煜，王凤翔，方程.高速永磁电机机组轴系振动研究.振动与冲击，2011，30(9)：111~115
[93]徐芝纶.弹性力学.北京：高等教育出版社，1990.9~32
[94]寿楠椿.弹性薄板弯曲.北京：高等教育出版社，1987.94~96
[95]刘鸿文.板壳理论.浙江大学出版社，1987.114~141
[96]李裕春，时党勇，赵远. ANSYS11.0/LS-DYNA基础理论与工程实践.北京：中国水利水电出版社，2008.11~15
[97]白金泽. LS-DYN3D理论基础与实例分析.北京：科学出版社，2005.1~4
[98]时党勇.基于ANSYS/LS-DYNA进行显式动力学分析.北京：清华大学出版社，2005.7~9
[99]尚晓江等. ANSYS/LS-DYNA动力分析方法与工程实例.北京：中国水利水电出版社，2005.12~17
[100]郝好山等. ANSYS12.0/LS-DYNA非线性有限元分析从入门到精通.北京：机械工业出版社，2010.207~261
[101] LSTC. LS-DYNAKEYWORD USER’S MANUALVOLUME I.2010.
[102] J.C.耶格，N.G.W.库克.中国科学院工程力学研究所译.岩石力学基础.北京：科学出版社，1981.94~95
[103]任敬心，康仁科，史兴宽.难加工材料的磨削.北京：国防工业出版社，1999.423~428
[104]谢和平.岩石力学.北京：科学出版社，2004.222~225
[105] T.J. Holmquist, G.R. Johnson, W.H. Cook. A Computational Constitutive Model ForConcrete Subjected to Large Strains, High Strain Rates, and High Pressures.14thInternational symposium on Ballistics,1995.591~600
[106] H.A. Ai, T.J. Ahrens. Simulation of dynamic response of granite: A numerical approach ofshock-induced damage beneath impact craters. Internaltionl Journal of Impact Engineering33,2006.1~10
[107] Livermore Software Technology Corporation, LS-DYNA Theoretical Manual，LivermoreSoftware Technology Corporation,1998
[108]薛静.盘形滚刀切削力影响因素及滚刀刃形优化设计研究：[硕士学位论文].长沙：中南大学，2010
[109]张林中.金刚石切削岩石的模拟：[硕士学位论文].武汉：中国地质大学，2008
[110]庄新炉.爆炸载荷作用下裂隙岩体的损伤特性研究：[硕士学位论文].淮南：安徽理工大学，2005
[111]叶勇.基于离散单元模拟的金刚石磨粒加工花岗石过程研究：[博士学位论文].泉州：华侨大学，2009
[112]张伟锋，等.射弹侵彻不同尺寸块石遮弹层的数值模拟.淮阴工学院学报，2008，17(3)：46~49
[2]高伟，刘镇昌，王霖，等.石材锯切机理与金刚石工具磨损机理的研究现状.工具技术，2002，36(8)：11~15
[3]邹家详，等.圆锯片的动态特性.北京科技大学学报，1994，16(11)：94~97
[4]马建敏，黄协清，陈天宁.圆盘锯片振动特性的计算分析.机械科学与技术，1999，18(3)：366~368
[5] H.Y. Fang, Y. Li, H. Huang, and X. P. Xu. Effects of Cutting Parameters on the TransverseVibration of Diamond circular saw blade. Advanced Material Research,2010.667~671
[6]熊国良，李骏.任意力作用下旋转圆盘的动态模型.华东交通大学学报，2003，20(1)：75~78
[7]吴佳宾.基于有限元法的金属圆锯片动态特性研究：[硕士学位论文].天津:河北工业大学，2005
[8] H. Lamb, R. V. Southwell. The vibration of spinning disk. Proceedings of the Royal Society,1921.272~80
[9] D. S. Dugdale. Stiffness of a spinning disc clamped at its center. J.Mech.Phys.Solids,1966.41~47
[10] E.Marui, S.Ema and R.Miyachi. An experimental investigation of circular saw vibration viaa thin plate model. International Journal of Machine Tools and Manufacture,1994.893~905
[11] W.H.Cheng, Yokochi, Hideyuki, Kimura, Shiro, Mano, Kiyohito. Dynamic characteristicsof circular saws in the region of the critical rotation speed. Journal of the Japan WoodResearch Society,2000.311~319
[12] Arvind Raman and C.D.Mote.Jr. Remarks on the non-linear vibration of an axisymmetriccircular disk near critical speed[J]. International Journal of Non-Linear Mechanics.2002,37(1):35~41.
[13] N.Baddour and J.W.Zu. A revisit of spinning disk models.Part II:linear transversevibrations. Applied Mathematical Modelling,2001.561~578
[14] Richard Szymani, C.D.Mote,Jr. A Review of Residual Stresses and Tensioning in CircularSaws. Wood Science and Technology,1974.148~161
[15] G.S.Schajer, C.D.Mote,Jr. Analysis of Roll Tensioning and its Influence on Circular SawStability. Wood Science and Technology,1983.287~302
[16] G.S.Schajer. Simple Formulas for Natural Frequencies and Critical Speeds of Circular Saws.Forest Products Research Society,1986.37~43
[17] M.C.Leu, C.D.Mote,Jr. Origin of Idling Noise in Circular Saws and Its Suppression. WoodScience and Technology,1984.33~49
[18] I.Y.Shen, Y.Song. Stability and Vibration of a Rotating Circular Plate Subjected toStationary In Plane Edge Loads. Journal of Applied Mechanics,1996.121~127
[19] J.S. Chen. Parametric Resonance of a Spinning Disk Under Space-Fixed Pulsating EdgeLoads[J]. Journal of Applied Mechanics,1997.139~143
[20] J.Tian, S.G.Hutton. Cutting-Induced Vibration in Circular Saws. Journal of Sound andVibration,2001.907~922
[21] C.D. Mote, Stability of circular plates subjected to moving loads. Franklin Inst,1970.329~344
[22] RC.Yu, C.D.Mote. Vibration and Parametric Excitation in Asymmetric Circular Platesunder Moving Loads. Journal of Sound and Vibration,1987.409~427
[23] G.L.Xiong, H.Chen, J.M.Yi. Instability Mechanism of a Rotating Disc Subjected to VariousTransverse Interactive Forces. Journal of Materials Processing Technology,2002.534~538
[24] G.H.Jang, S.H.Lee, M.S.Jung. Free vibration analysis of a spinning flexible disk-spindlesystem supported by ball bearing and flexible shaft using the finite element method andsubstructure synthesis. Journal of Sound and Vibration,2002.59~78
[25] J.S. Chen. Vibration control of a spinning disk. International Journal of MechanicalSciences,2003.1269～1282
[26] B.W. Huang, J.H. Kuang. Variation in the stability of a rotating blade disk with a localcrack defect. Journal of Sound and Vibration,2006.486～502
[27]刘培锷.热锯机齿形分析和齿形参数的计算方法.重型机械，1985，9(2)：31~36
[28]李黎，习宝田，杨永福.圆锯片振动、动态稳定性及其控制技术的研究——圆锯片的振动分析和动态稳定性.木工机床，2002，(2)：5~10
[29]李黎，习宝田，杨永福.圆锯片振动、动态稳定性及其控制技术的研究——提高圆锯片动态稳定性的技术方法.木工机床，2002，(3)：1~6
[30]李传信，耿德旭.普通圆锯片固有频率的理论探讨.吉林林学院学报，1996，12(3)：159~163
[31]徐东镇.锯切时夹盘圆锯片横向振动特性研究：[硕士学位论文].南京：南京林业大学，2006
[32]张家谔，段国林，姚涛，蔡瑾.圆锯片横向再生颤振模型及计算.噪声与振动控制，2010，(6)：5~9
[33] C.D.Jr. Mote. Stability control analysis of rotating plates by finite element: Emphasis onslots and holes. J. Dyn. Meas. Control, Trans. ASME94G,1972.64~70
[34] D.S. Dugdale. Flexure of thin plates containing internal stress. Int. J Eng. Sci,1968.239~249
[35] R. Szymani, C D. Mote. Theoretical and experimental analysis of circular. Wood ScienceTechnology,1979.211~237
[36] C.D.Jr. Mote, S. Holeyen. The temperature distribution in circular saws during cutting.Norsk Tretenisk Institutt Medd,1973
[37] C.D.Jr. Mote, S. Holeyen. Confirmation of the critical speed stability theory forsymmetrical circular saw. Trans.ASME,1975.1112~1118
[38] L.T. Nieh, C.D.Jr. Mote. vibration and stability in thermally stressed rotating disks.Experimental Mechanics,1975.58~264
[39] C.D. Mote. Theory of thermal natural frequency variations in disks. International Journal ofMechanical Sciences,1966.547~557
[40] C.D.Jr. Mote, G.S. Schajer, Holoyen S.Circular Saw Vibration Control By Induction OfThermal Membrane Stresses. American Society of Mechanical Engineers,1980
[41]母德强，崔高健，陈塑寰.辊压适张度处理对圆锯片临界转速的影响.机械工程学报，2001，37(9)：30~33
[42]母德强，崔高健.辊压处理对圆锯片动态稳定性的影响.长春工业大学学报，2002，23(8)：9~13
[43]母德强，陈塑寰.圆锯片最佳辊压适张度处理位置的分析.林业科学，2001，37(2)：84~89
[44]张占宽，习宝田.圆锯片局部受轴向压力作用下的塑性变形及强化.木材加工机械，2002，(2)：2~4
[45]钱桦，习宝田.淬火圆锯片回火残余应力的研究.北京林业大学学报，2005，27(2)：107~110
[46]撒潮，习宝田.圆锯片适张度量化分析方法的研究.木材工业，1995，8(3)：26~29
[47] C. Sa, B.T. Xi, L. Li. An Approach to Detecting Tension of a Circular Saw. Forestry Studiesin China,1999.4~70.
[48]李黎，习宝田，杨永福.圆锯片上热应力及回转应力的分析.北京林业大学学报，2002，24(3)：14~17
[49]李黎，习宝田，等.圆形薄板的温度分布及热变形.北京林业大学学报，2004，26(1)：74~78
[50] RC. Yu, C.D.Jr. Mote. Vibration behaviors of circular saws with slots. Holz alsRoh-undWerkstoff,1987.155~160
[51] Y.K. Wang, C.D.Jr. Mote. Analysis of an arbitrary shaped guide bearing subject to normaloscillation and translation of a plate. Wear,1996.115~121
[52] K.J. Hayasaka, etc. Investigation on generation of vibration and noise of diamond circularsaw blades(2nd Report)-observation of a mode of vibrationand the air flow. SeimitsuKogaku Kaishi/Journal of the Japan Society forPrecision Engineering,1998.399~402
[53] D.A. Bies. Circular saw aerodynamic noise.Journal of Sound and Vibration.1992.495~513
[54] W.F. Reiter, R.F. Keltie. On the nature of idling noise of circular saw blades. Journal ofSound and Vibration,1976.531~543
[55] K. Yanagimoto, C.D. Mote, R.Ichimiya.Vortex Shedding Noise Control in Idling CircularSaws Using Air Ejection at the Teeth. Journal of Sound and Vibration,1994.277~282
[56] Singh, Rajendra. The effect of radial slots on the noise of idling circular saws. NoiseControl Engineering Journal,1988.167~172
[57] Beljo-Lucic Ruzica, Goglia, Vlado. Suppression of whistling noise in idling circular saw bydamping of clamping system. Drevarsky Vyskum/Wood Research,2002.19~26
[58] M.F. De Vries, etc. on the reduction of noise in circular sawing. Alberta Research Council,Information Series North Am Metalwork Res.Conf,2nd, Proc May20-22,1974.22~34
[59] N. Satoru, M. Etsuo. Effects of slots on the lateral vibration of a circular saw blade.International Journal of Machine Tools and Manufacture,1996.771~787
[60] W.D.Collin, influence of geometry and segment spacing on diamond saw performance[J].Industrial Diamond Review,1977.48~54
[61]朴永守，王平，孙正和，王岩.热膨胀槽对硬质合金圆锯片横向振动的影响.东北林业大学学报，1993，21(3)：39~45
[62]崔文彬，孙道棪.开周向槽圆锯片动态特性的有限元法研究.北京林业大学学报，1995，17(2)：74~78
[63]毛永亮.开槽圆锯片振动特性研究及结构优化：[硕士学位论文].河北：河北工业大学，2008
[64]张东梅，尚春民，乔彦峰.圆锯片振动频率的控制方法.噪声与振动控制，2005，(4)：52~54
[65]张淑贵.高速锯切用超薄超短齿金刚石锯片设计及试验研究：[硕士学位论文].泉州：华侨大学，2007
[66] J. Tian, S.G. Hutton. Cutting-induced Vibration in Circular Saws. Journal of Sound andVibration,2001.907~922
[67] G. Pahlitzsch, B. Rowinski. über das Schwingungsverhalten vonKreiss gebl ttern.1.Mitteilung: Bestimmung und Auswirkungen der geometrischen Formund des Vorspannungszusandes der Ss gebl tter. Holz Roh-Werkstoff,1966.125~134
[68] G. Pahlitzsch, B. Rowinski. über das Schwingungsverhalten vonKreiss gebl ttern.1.Mitteilung: Ermittlung und Auswirkungen der kritischen Drehzahlenund Eigenfrequenzen der Ss gebl tter. Holz Roh-Werkstoff,1966.341~346
[69] V.K. Pashkov, V.G. Vodalev. Nomogram for selecting working schedules for circularsaws[J]. Lesn. Zh.,1971.57~60
[70] G.S. Schajer, S.A. Wang. Effect of workpiece interaction on circular saw cutting stabilityII：Experimental results. Holz als Roh-und Werkstoff,2002.48~54
[71]解振华.硅晶片内圆锯切过程的振动研究：[硕士学位论文].广东：广东工业大学，2005
[72]李远.花岗石超大切深锯切机理与技术研究：[博士学位论文].泉州：华侨大学，2004
[73]张涛.金刚石圆锯片轴向变形测试系统构建与实验研究：[硕士学位论文].泉州：华侨大学，2010
[74]王成勇，胡映宁，王智伟，丁海宁.干切混凝土时金刚石锯片振动及噪声的研究.超硬材料工程，2005，17(6)：1~6
[75] T.A. McLauchlan. Recent development in circular rip swing. Forest Prod,1972.42~48
[76] G.S. Schajer, S.A. Wang. Effect of workpiece interaction on circular saw cutting stability.I：Theoretical background. Holz als Roh-und Werkstoff,2001.388~393
[77]路鹏程，陈欣，习宝田.浮动导向木工圆锯的研究.林产工业，1995，1(4)：19~21
[78]李庆华.高速回转圆盘薄片刀具横向振动的控制研究：[博士学位论文].吉林：吉林大学，2007
[79]吴德华，陈先.水射流减振降噪方法在石材切边机上的试验研究.石材，1995，3：19~22
[80]杨庆斌.金刚石圆锯片横向振动控制的实验研究：[硕士学位论文].泉州：华侨大学，2010
[81]熊晓燕.复杂机械系统动态特性分析和实验辨识方法的研究：[博士学位论文].太原：太原理工大学，2008
[82]王济，胡晓. Matlab在振动信号处理中的应用.北京：中国水利水电出版社，2006.69~105
[83]张贤达.现代信号处理(第二版).北京：清华大学出版社，2002.485~552
[84]沈凤麟，叶中付，钱玉美.信号统计分析与处理.中国科学技术大学出版社，2001.133~136
[85]韩松，徐政，武诚.利用相关分析的区间振荡振型快速估计方法.高电压技术，2011，37(2)：436~443
[86] http://hi.baidu.com/jessure/blog/item/dd9c3c557b3ad4998d543001.html
[87] B. Denkena, H.K.Tonshoff, T. Friemuth, T.Glatzel: Key Engineering Materials,2003.21~32
[88]刘国强，薛春芳，王丹杰.基于应变测量法的几种典型悬臂梁的挠度测量.装甲兵工程学院学报，2006，20(5)：54~57
[89]刘鸿文.材料力学.北京：高等教育出版社，2004.1~7
[90]贾秀丽.大惯量转动设备的振动分析与研究：[硕士学位论文].北京：中国石油大学，2010
[91]房怀英，李远，徐西鹏.轴向力对圆锯片轴向变形的影响研究.中国机械工程，2011，22(8)：966~970
[92]王天煜，王凤翔，方程.高速永磁电机机组轴系振动研究.振动与冲击，2011，30(9)：111~115
[93]徐芝纶.弹性力学.北京：高等教育出版社，1990.9~32
[94]寿楠椿.弹性薄板弯曲.北京：高等教育出版社，1987.94~96
[95]刘鸿文.板壳理论.浙江大学出版社，1987.114~141
[96]李裕春，时党勇，赵远. ANSYS11.0/LS-DYNA基础理论与工程实践.北京：中国水利水电出版社，2008.11~15
[97]白金泽. LS-DYN3D理论基础与实例分析.北京：科学出版社，2005.1~4
[98]时党勇.基于ANSYS/LS-DYNA进行显式动力学分析.北京：清华大学出版社，2005.7~9
[99]尚晓江等. ANSYS/LS-DYNA动力分析方法与工程实例.北京：中国水利水电出版社，2005.12~17
[100]郝好山等. ANSYS12.0/LS-DYNA非线性有限元分析从入门到精通.北京：机械工业出版社，2010.207~261
[101] LSTC. LS-DYNAKEYWORD USER’S MANUALVOLUME I.2010.
[102] J.C.耶格，N.G.W.库克.中国科学院工程力学研究所译.岩石力学基础.北京：科学出版社，1981.94~95
[103]任敬心，康仁科，史兴宽.难加工材料的磨削.北京：国防工业出版社，1999.423~428
[104]谢和平.岩石力学.北京：科学出版社，2004.222~225
[105] T.J. Holmquist, G.R. Johnson, W.H. Cook. A Computational Constitutive Model ForConcrete Subjected to Large Strains, High Strain Rates, and High Pressures.14thInternational symposium on Ballistics,1995.591~600
[106] H.A. Ai, T.J. Ahrens. Simulation of dynamic response of granite: A numerical approach ofshock-induced damage beneath impact craters. Internaltionl Journal of Impact Engineering33,2006.1~10
[107] Livermore Software Technology Corporation, LS-DYNA Theoretical Manual，LivermoreSoftware Technology Corporation,1998
[108]薛静.盘形滚刀切削力影响因素及滚刀刃形优化设计研究：[硕士学位论文].长沙：中南大学，2010
[109]张林中.金刚石切削岩石的模拟：[硕士学位论文].武汉：中国地质大学，2008
[110]庄新炉.爆炸载荷作用下裂隙岩体的损伤特性研究：[硕士学位论文].淮南：安徽理工大学，2005
[111]叶勇.基于离散单元模拟的金刚石磨粒加工花岗石过程研究：[博士学位论文].泉州：华侨大学，2009
[112]张伟锋，等.射弹侵彻不同尺寸块石遮弹层的数值模拟.淮阴工学院学报，2008，17(3)：46~49