机床结合部耦合动刚度的辨识与建模

摘要/Abstract

摘要：

摘要：针对结合部动力学中耦合动刚度的辨识与建模问题，通过频响矩阵建立了结合部动力学理论模型，基于力学平衡条件与位移兼容条件推导了动刚度辨识公式.辨识过程中将难测频响矩阵作为中间变量，避免了估算难测频响所引入的方程误差，构建了包含辨识关系的矛盾方程.通过广义逆矩阵对动刚度进行等效处理，讨论了刚度信息之间的耦合关系，提出了结合部耦合动刚度的建模方法，建立了刚度信息不同程度耦合的动力学模型.最后，基于LMS试验平台进行了现场试验，获得了良好的试验效果，证明了该方法的可行性.对比分析了不同动力学模型的预测效果，结果表明：结合部动刚度耦合关系对动力学模型的低频预测性能影响显著，动力学建模时考虑刚度信息的耦合关系是必要的.

关键词: , 机床；结合部；耦合；动刚度；辨识

Abstract:

Abstract： In this paper, the identification and modeling of coupling dynamic stiffness in joints of machine tool was discussed. The theoretical model was built by Frequency Response Function(FRF), and the identification formulas were derived based on the mechanical equilibrium condition and the displacement compatibility condition. In the process of identification, the FRF which was difficult to be measured was considered as an intermediate variable to avoid introducing equation errors. The inconsistent equation containing the identification relationship was established, and the equivalent of coupling dynamic stiffness was obtained by using generalized inverse matrix. The coupling relationship between stiffness was probed, and the method of modeling the coupling dynamic stiffness was derived, while the models containing the coupling relationship between stiffness in varying degrees were built. Finally, field tests were conducted based on the LMS system and good results were acquired, which verified the feasibility of the proposed method. By comparing the prediction results of different dynamical models, the conclusion was made that the coupling relationship could have a significant impact on estimated performance in low frequency, and that the coupling relationship should be considered in dynamics modeling.

Key words: machine tool, joints, coupling, dynamic stiffness, identification

中图分类号:

TH 113

董冠华,殷勤,殷国富,向召伟. 机床结合部耦合动刚度的辨识与建模[J]. 上海交通大学学报（自然版）, 2015, 49(09): 1263-1434.

DONG Guanhua,YIN Qin,YIN Guofu,XIANG Zhaowei. Identification and Modeling of Coupling Dynamic Stiffness in Joints of Machine Tool[J]. Journal of Shanghai Jiaotong University, 2015, 49(09): 1263-1434.

参考文献

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