Identification and Modeling of Coupling Dynamic Stiffness in Joints of Machine Tool

Abstract

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

CLC Number:

TH 113

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.

References

［1］杨橚，唐恒龄，廖伯瑜.机床动力学［M］.北京：机械工业出版社，1983：261317.

［2］Burdekin M, Baek N，Cowley A. Analysis of the local deformation in machine joints ［J］. Journal Mechanical Engineering Science， 1979，21(1):2532.

［3］Vafaei S, Rahnejat H, Aini R. Vibration monitoring of high speed spindles using spectral analysis techniques ［J］. International Journal of Machine Tools and Manufacture，2002,42(11): 12231234.

［4］Tsai J S, Chou Y F. The identification of dynamic characteristics a single bolt joint ［J］. Journal of Sound and Vibration, 1988, 125(3): 487502.

［5］Yang K T, Park Y S. Joint structural parameter identification using a subset of frequency response function measurements ［J］. Mechanical Systems and Signal Processing, 1993, 7(6), 509530.

［6］Wang Mian， Wang Dong， Zheng Gangtie. Joint dynamic properties identification with partially measured frequency response function ［J］. Mechanical Systems and Signal Processing, 2012, 27:499512.

［7］Cˇelicˇ D, Boltezˇar M. The influence of the coordinate reduction on the identification of the joint dynamic properties ［J］. Mechanical Systems and Signal Processing, 2009, 23:12601271.

［8］李玲,蔡力钢,郭铁能,等.机械结合部动态刚度辨识与实验研究［J］. 振动工程学报, 2012，25(5)：488496.

LI Ling，CAI Ligang，GUO Tieneng，et al. Identification and experimental research on dynamic stiffness of mechanical joints［J］．Journal of Vibration Engineering，2012，25(5): 488496．

［9］李玲,蔡安江,蔡力钢,等. 栓接结合部动态特性辨识方法［J］. 机械工程学报, 2013, 49(7): 168175.

LI Ling, CAI Anjiang, CAI Ligang, et al. Identification method for dynamic properties of bolted joints ［J］. Journal of Mechanical Engineering，2013,49(7):168175.

［10］董冠华,殷国富,胡晓兵,等. 基于频响函数的螺栓结合部法向刚度辨识与实验研究［J］. 四川大学学报:工程科学版, 2014,46(4):183188.

DONG Guanhua, YIN Guofu, HU Xiaobing, et al. Identification and experiment research of bolted joints normal stiffness based on FRF ［J］. Journal of Sichuan University: Engineering Science Edition，2014, 46(4): 183188.

［11］Ren Y, Beards C F. Identification of joint properties of a structure using FRF data ［J］. Journal of Sound and Vibration, 1995, 186(4): 567587.

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