• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2016, Vol. 52 ›› Issue (5): 162-168.doi: 10.3901/JME.2016.05.162

• 机械动力学 • 上一篇    下一篇

机床结合部动力学建模与辨识方法的研究

董冠华, 殷勤, 殷国富, 王亮, 谭峰   

  1. 四川大学制造科学与工程学院 成都 610065
  • 出版日期:2016-03-05 发布日期:2016-03-05
  • 作者简介:董冠华,男,1989年出生,博士研究生。主要研究方向为机械振动、机床动力学。E-mail:guanhua1296@qq.com;殷国富(通信作者),男,1956年出生,博士,教授,博士研究生导师。主要研究方向为机械振动、3D打印、CIMS、机器视觉。E-mail:gfyin@scu.edu.cn
  • 基金资助:
    * 国家科技重大专项资助项目(2013ZX04005-012)

Research on Dynamics Modeling and Identification of Machine Tool Joints

DONG Guanhua, YIN Qin, YIN Guofu, WANG Liang, TAN Feng   

  1. School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065
  • Online:2016-03-05 Published:2016-03-05

摘要: 针对机床结合部动力学建模与辨识过程中对子结构间耦合关系与内部激振对外部响应影响考虑不充分问题,采用频响函数矩阵建立完备的机床结合部动力学理论模型;基于力学平衡条件和位移兼容条件推导了辨识方程,提出一种新的动力学辨识方法;辨识过程中融入了子结构间耦合关系,将难测频响矩阵作为中间变量抵消,避免使用难以测量频响或估算难以测量频响所引入的方程误差。在此基础上,将辨识方程拓展至整个测量频段,构建包含辨识关系的矛盾方程,通过最小二乘法求解确定了结合部的等效动刚度,建立了结构的有限元模型。为验证方法的正确性与可行性,基于LMS试验平台进行了现场试验,获得了良好的试验效果;与缩减维度、忽略内部激振作用的建模方法进行了对比分析,结果表明本文方法具有更好的预测性。

关键词: 辨识, 动刚度, 动力学, 建模, 结合部

Abstract: To the influence of dynamics modeling of machine tool joints and identification method on the coupling relationship between substructure and internal vibration on external response is not adequately considered, the dynamics theory model of joints of machine tool is completely established by adopting the frequency response function matrix. The identification equation is derived based on mechanical equilibrium and displacement compatibility condition, and a new dynamics identification method is proposed. In the process of identification blending in the coupling relationship between substructures and rendering the frequency response function (FRF) difficult to measure as intermediate variable offset, the method avoid equation error using unpredictable response or estimation. On this basis, the identification equation is extended to the whole measurement range, and then the contradiction equation including identification is constructed. The equivalent dynamic stiffness is determined by the least square method and the finite element model of the structure is established. In order to verify the feasibility and correctness of the proposed method, field tests are conducted based on the LMS test platform and acquire good results. Compared with other modeling method such as reducing dimension and ignoring the internal excitation, the results indicate that the proposed method has better prediction.

Key words: dynamic stiffness, dynamics, identification, joints, modeling

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