机匣螺栓连接分区域薄层单元建模方法
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摘要
机匣连接的螺栓预紧力大小对其动力学特性影响较大。为更准确反映其接触刚度随预紧力的变化情况,采用分区域薄层单元方法代替螺栓连接部分,并基于螺栓连接超模型刚度理论、赫兹接触理论以及M-B分形模型,推导出不同螺栓预紧力下分区域薄层单元的弹性模量,模拟机匣连接部分的轴向接触刚度,给出螺栓连接机匣简化建模方法。并以1个螺栓连接试验机匣为例,对比在不同螺栓预紧力下机匣仿真频率与模态试验频率,最大误差仅为2.83%。结果表明:分区域薄层单元建模方法能够有效地对不同预紧力下的螺栓连接机匣进行简化建模。
The pre-tightening force of the casing bolted joints had a great influence on the dynamic characteristics of the bolt. In order to reflect more accurately the change of contact stiffness with pre-tightening force,a thin-layer element method was used to replace the bolted joints structure. Based on the stiffness theory of bolted joints supermodel,Hertz contact theory and M-B fractal model,the elastic modulus of thin-layer element with different bolted pre-tightening force was derived. The axial contact stiffness of the casing joints part was simulated,and the simplified modeling method of the bolted joints casing was given. Taking a bolted joints test casing as an example,the maximum error was only 2.83%,compared with the simulation frequency and modal test frequency of the casing under different bolted pretightening force. The results show that the modeling method of the thin-layer element can effectively simplify the modeling of bolted joints casing under different pre-tightening forces.
The pre-tightening force of the casing bolted joints had a great influence on the dynamic characteristics of the bolt. In order to reflect more accurately the change of contact stiffness with pre-tightening force,a thin-layer element method was used to replace the bolted joints structure. Based on the stiffness theory of bolted joints supermodel,Hertz contact theory and M-B fractal model,the elastic modulus of thin-layer element with different bolted pre-tightening force was derived. The axial contact stiffness of the casing joints part was simulated,and the simplified modeling method of the bolted joints casing was given. Taking a bolted joints test casing as an example,the maximum error was only 2.83%,compared with the simulation frequency and modal test frequency of the casing under different bolted pretightening force. The results show that the modeling method of the thin-layer element can effectively simplify the modeling of bolted joints casing under different pre-tightening forces.
引文
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[15]陈奇.基于分形理论的汽车变速箱齿轮接触强度研究[D].合肥:合肥工业大学,2010.CHEN Qi. Research on gear contact strength analysis of automobile gearbox by fractal theory[D].Hefei:Hefei University of Technology,2010.(in Chinese)
[16]温淑花,张学良,武美先,等.结合面法向接触刚度分形模型建立与仿真[J].农业机械学报,2009,40(11):197-202.WEN Shuhua,ZHANG Xueliang,WU Meixian,et al. Fractal model and simulation of normal contact stiffness of joint interfaces and its simulation[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(11):197-202.(in Chinese)
[2] Liu S G,Wang J,Hong J,et al. Dynamics design of the aero-engine rotor joint structures based on experimental and numerical study[R].ASME 2010-GT-22199.
[3] Kim J,Yoon J C,Kang B S. Finite element analysis and modeling of structure with bolted joints[J]. Applied Mathematical Modelling,2007,31(5):895-911.
[4] Ahmadian H,Jalali H. Identification of bolted lap joints parameters in assembled structures[J]. Mechanical Systems&Signal Processing,2007,21(2):1041-1050.
[5] Shiryayev O V,Page S M,Pettit C L,et al. Parameter estimation and investigation of a bolted joint model[J]. Journal of Sound&Vibration,2007,307(3-5):680-697.
[6] Boeswald M,Link M,Meyer S. Experimental and analytical investigations of non-linear cylindrical casing joints using base excitation testing[C]//IMAC-XXI. Conference&Exposition on Structural Dynamics.Kissimmee:Society for Experimental Mechanics,2003:1-9.
[7]马双超.航空发动机机匣模型确认与动力学特性研究[D].南京:南京航空航天大学,2012.MA Shuangchao. Structure dynamic analysis and model validation of aero-engine casings[D]. Nanjing:Nanjing University of Aeronautics and Astronautics,2012.(in Chinese)
[8]姚星宇,王建军,翟学.航空发动机螺栓连接薄层单元建模方法[J].北京航空航天大学学报,2015,41(12):2269-2279.YAO Xingyu,WANG Jianjun,ZHAI Xue. Modeling method of bolted joints of aero-engine based on thin-layer element[J]. Journal of Beijing University of Aeronautics and Astronautics,2015,41(12):2269-2279.(in Chinese)
[9]姚星宇,王建军.航空发动机螺栓连接载荷与结构参数对连接刚度影响规律[J].推进技术,2017,38(2):424-433.YAO Xingyu,WANG Jianjun. Effects of load and structure parameters of aero-engine bolted joints on joint stiffness[J]. Journal of Propulsion Technology,2017,38(2):424-433.(in Chinese)
[10]赵帅.螺栓联接对航空发动机机匣振动特性影响的研究[D].沈阳:沈阳航空航天大学,2012.ZHAO Shuai.Study of effects of bolt connection on aeroenging case vibrational behavior[D]. Shenyang:Shenyang Aerospace University,2012.(in Chinese)
[11]赵丹,艾延廷,翟学,等.法向接触刚度对螺栓连接结构振动模态的影响研究[J].航空发动机,2012,38(3):54-57.ZHAO Dan,AI Yanting,ZHAI Xue,et al. Effect of normal contact stiffness on vibration modes of bolted structure[J]. Aeroengine,2012,38(3):54-57.(in Chinese)
[12]殷越.螺栓联接的发动机机匣结构的刚度研究[D].辽宁大连:大连理工大学,2016.YIN Yue. Study of stiffness of aeroengine casing with bolted joints[D]. Liaoning Dalian:Dalian University of Technology,2016.(in Chinese)
[13] Wang S,Komvopoulos K A. A fractal theory of the interfacial temperature distribution in the slow sliding regime:Part I—Elastic contact and heat transfer analysis[J]. Journal of Tribology,1994,116(4):812-822.
[14] Wang S,Komvopoulos K. A fractal theory of the interfacial temperature distribution in the slow sliding regime:Part II—Multiple domains,elastoplastic contacts and applications[J]. Journal of Tribology,1994,116(4):824-832.
[15]陈奇.基于分形理论的汽车变速箱齿轮接触强度研究[D].合肥:合肥工业大学,2010.CHEN Qi. Research on gear contact strength analysis of automobile gearbox by fractal theory[D].Hefei:Hefei University of Technology,2010.(in Chinese)
[16]温淑花,张学良,武美先,等.结合面法向接触刚度分形模型建立与仿真[J].农业机械学报,2009,40(11):197-202.WEN Shuhua,ZHANG Xueliang,WU Meixian,et al. Fractal model and simulation of normal contact stiffness of joint interfaces and its simulation[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(11):197-202.(in Chinese)