连接件非均匀面压结合部动态性能建模与分析
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摘要
基于栓接结合面非均匀面压分布与分形接触理论,通过静力仿真获得了结合部非均匀面压的分布规律,建立了结合面的动态参数的动力学模型,并将结合面的动态参数换算为虚拟材料的弹性模量、切变模量及泊松比等材料属性参数。提出了考虑结合面非均匀面压影响的栓接结合部有限元模型,结合有限元分析获得栓接结合部的理论模态频率及振型。将理论与实验模态相比较,所提出的模型能够准确地描述机械结合部的固有频率及振型等动态特性,可应用于提高数控机床整机的动态性能建模分析准确性。
Based on the non-uniform pressure distribution and the fractal contact theory,the pattern of non-uniform pressure distribution was obtained through static simulation analysis and a dynamic model of the dynamic parameters of jointed interface was established. By converting the dynamic parameters of jointed interface to the elastic modulus,shear modulus and Poisson's ratio of virtual material,the theoretical natural frequency and modal shape were obtained with the use of finite element analysis. Comparing the theoretical modal to experimental modal,the proposed model can accurately describe the natural frequency and modal shape of mechanical joint,therefore it can be applied to improving the accuracy of dynamic performance analysis of machine tool.
Based on the non-uniform pressure distribution and the fractal contact theory,the pattern of non-uniform pressure distribution was obtained through static simulation analysis and a dynamic model of the dynamic parameters of jointed interface was established. By converting the dynamic parameters of jointed interface to the elastic modulus,shear modulus and Poisson's ratio of virtual material,the theoretical natural frequency and modal shape were obtained with the use of finite element analysis. Comparing the theoretical modal to experimental modal,the proposed model can accurately describe the natural frequency and modal shape of mechanical joint,therefore it can be applied to improving the accuracy of dynamic performance analysis of machine tool.
引文
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[2]ZHANG G P,HUANG Y M,SHI W H,et al.Predicting dynamic behaviours of a whole machine tool structure based on computeraided engineering[J].International Journal of Machine Tools&Manufacture,2003,43(7):699-706.
[3]AHMADIAN H,JALALI H.Identification of bolted lap joints parameters in assembled structures[J].Mechanical Systems&Signal Processing,2007,21(2):1041-1050.
[4]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.
[5]毋存祥,钱炜.机械结合面动态特性影响因素的研究[J].现代制造工程,2014(9):134-138.
[6]YOSHIMURA M.Computer-aided design improvement of machine tool structure incorporating dynamics data[J].Annals of CIRP,1979,28(1):241-246.
[7]王雯,吴洁蓓,傅卫平,等.机械结合面法向动态接触刚度理论模型与试验研究[J].机械工程学报,2016,52(13):123-130.
[8]吴波,王增全,王旭兰,等.机械结合面动态特性测试与仿真[J].机械科学与技术,2016,35(2):320-324.
[9]尤晋闽,陈天宁.基于分形接触理论的结合面法向接触参数预估[J].上海交通大学学报,2011,45(9):1275-1280.
[10]潘五九,李小彭,李木岩,等.机械结合面切向接触刚度的三维分形理论建模[J].振动工程学报,2017,30(4):577-586.
[11]张学良,王南山,温淑花,等.机械结合面切向接触阻尼能量耗散弹塑性分形模型[J].机械工程学报,2013,49(12):43-49.
[12]TIAN H,LI B,LIU H,et al.A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J].International Journal of Machine Tools&Manufacture,2011,51(3):239-249.
[13]FENG R,LIU X H,LU L B,et al.An interpretation of the load distributions in highly torqued single-lap composite bolted joints with bolt-hole clearances[J].Composites Part B:Engineering,2017,138:194-205.
[14]MAJUMDAR A,BHUSHAN B.Fractal model of elastic-plastic contact between rough surfaces[J].ASME Journal of Tribology,1991,113(1):1-11.
[15]MIAO X,HUANG X.A complete contact model of a fractal rough surface[J].Wear,2014,309(1/2):146-151.
[16]黄开放,金建新.基于虚拟材料方法的螺栓预紧力模拟的研究[J].机械设计与制造,2012(8):148-150.