Inverse Substructuring Methods for Identifying Coupling Dynamic Stiffness of Mechanical Assembly

doi:10.3901/JME.2016.09.086

Abstract

Abstract: In order to inspect dynamic quality of mechanical assembly, the effects of assembling process on the dynamic transferring characteristics of the involved components are analyzed by substructuring analysis, and coupling dynamic stiffness of the assembly is clarified explicitly as the unique dominant factor for the dynamic quality. After explaining direct inverse substructuring approach of identification on the stiffness (direct approach) and analyzing its defects in practical application, five types of indirect inverse substructuring approaches (indirect approach) are established using spectral-based frequency response functions (FRFs), including their formulations in cases of single- and multi-coupling connection(s) of assembling process, and their applicable engineering conditions. Analytical results show that, the five types of indirect approaches overcome totally or partially the test-difficulty of the direct one. In addition, the first type indirect approach is relatively not susceptible to FRF-measurement errors, as it does by the direct one, and can be applied as an optimum indirect approach for identifying the stiffness. Theoretical completeness of the direct and indirect approaches and application effectiveness of the first indirect approach are validated by a lumped-parameter model and its analogic experimental counterpart of two-level assembling substructures, respectively. The inverse substructuring approaches provide a new effective technical method for coupling stiffness identification and dynamic quality inspection of mechanical assembly.

Key words: coupling dynamic stiffness, frequency response function, inverse substructuring identification, mechanical assembly

CLC Number:

TB123

LÜ Guangqing¹, YI Chuijie², FANG Ke¹. Inverse Substructuring Methods for Identifying Coupling Dynamic Stiffness of Mechanical Assembly[J]. Journal of Mechanical Engineering, 2016, 52(9): 86-95.

References

[1] 徐兵. 机械装配技术标准[M]. 北京：中国轻工业出版社,2010.
XU Bing. Technical standard of mechanical assembly [M]. Beijing：China Light Industry Press,2010.
[2] 编委会. 现代机械加工技术操作程序规范与机械装配质量检测评定国家标准实施手册[M]. 北京：机械工业出版社,2011.
Editorial Board. Implementation manual for operational procedures and specifications of modern machining techniques and national standards for quality inspections and estimations of mechanical assembly[M]. Beijing：China Machine Press,2011.
[3] 王先逵. 机械装配质量管理[M]. 北京：机械工业出版社,2010.
WANG Xiankui. Quality management of mechanical assembly [M]. Beijing：China Machine Press,2010.
[4] 刘永辉, 王卫, 朱晓波. 汽车装配工艺现状及发展趋势[J]. 客车技术与研究,2007(2)：47-49.
LIU Yonghui,WANG Wei,ZHU Xiaobo. State-of-art and development trends in automotive industry[J]. Bus Technology and Research,2007(2)：47-49.
[5] 魏志刚, 薛亮. 飞机先进装配技术及其发展[J]. 海军航空工程学院学报,2009,24(1)：119-120.
WEI Zhigang,XUE Liang. Advanced techniques of airplane assembly and their developments[J]. Journal of Navy Aviation Engineering Institute,2009,24(1)：119-120.
[6] 王波, 唐晓青. 机械产品装配过程质量控制决策研究[J]. 中国机械工程,2010,21(2)：164-168,174.
WANG Bo,TANG Xiaoqing. Strategic Investigation on quality control of assembling process of mechanical products[J]. China Mechanical Engineering,2010,21(2)： 164-168,174.
[7] 何博侠,张志胜,戴敏,等. 机械装配过程的偏差传递建模理论[J]. 机械工程学报,2008,44(12)：62-68.
HE Boxia,ZHANG Zhisheng,DAI Min, et al. Theory of modeling variation propagation of mechanical assembly processes[J]. Chinese Journal of Mechanical Engineering,2008,44(12)：62-68.
[8] 向树红,邱吉宝,王大钧. 模态分析与动态子结构方法新进展[J]. 力学进展,2004,34(3)：289-303.
XIANG Shuhong,QIU Jibao,WANG Dajun. New developments on modal analysis and dynamic substructuring method[J]. Advances in Mechanics,2004,34(3)：289-303.
[9] 金新灿, 孙守光, 陈光雄. 基于试验频响函数刚体特性参数的计算及其应用[J]. 机械工程学报,2005,41(3)：206-210.
JIN Xincan,SUN Shouguang,CHEN Guangxiong. Calculation and applications of rigid body properties based on experimental frequency response function data[J]. Chinese Journal of Mechanical Engineering,2005,41(3)：206-210.
[10] 孔德平, 骞朋波, 沈煜年,等. 碰撞激发弹粘塑性波传播的动态子结构方法[J]. 机械工程学报,2013,49(1)：95-101.
KONG Deping,QIAN Pengbo,SHEN Yunian,et al. Dynamic substructure technique for elastic-viscoplastic wave propagation excited by impact[J]. Journal of Mechanical Engineering,2013,49(1)：95-101.
[11] YANG K T,PARK Y S. Join structural parameter identification using a subset of frequency response function measurement[J]. Mechanical Systems and Signal Processing,1993,7：509-530.
[12] REN Y,BEARDS C F. Identification of joint properties of a structure using FRF data[J]. Journal of Sound and Vibration,1995,186：567-587.
[13] HWANG H Y. Identification techniques of structure connection parameters using frequency response functions[J]. Journal of Sound and Vibration,1998,212(3)：469-479.
[14] YANG T,FAN H S,LIN S C. Joint stiffness identification using FRF measurements[J]. Computers and Structures,2003,81：2549-2556.
[15] DAMJAN C,MIHA B. Identification of the dynamic properties of joints using frequency-response functions[J]. Journal of Sound and Vibration,2008,317(3)：158-174.
[16] MAJID M,ELDON G,PARK S S. FRF based joint dynamics modeling and identification[J]. Mechanical Systems and Signal Processing,2013,39：265-279.
[17] ZHEN J T,LIM T C,LU G Q. Determination of system vibratory response characteristics applying a spectral- based inverse sub-structuring approach, Part I：Analytical formulation[J]. International Journal of Vehicle Noise and Vibration,2004,1(1/2)：1-30.
[18] ZHEN J T,LIM T C,LU G Q. Determination of system vibratory response characteristics applying a spectral- based inverse sub-structuring approach,Part II：Motor vehicle structures[J]. International Journal of Vehicle Noise and Vibration,2004,1(1/2)：31-67.
[19] 吕广庆,王志伟. 产品–包装–运载体系统动态特性研究[J]. 包装工程,2006,27(1)：115-118.
LÜ Guangqing,WANG Zhiwei. Study on dynamic characteristics of product-packaging-carrier system[J]. Packaging Engineering,2006,27(1)：115-118.
[20] 吕广庆. 应用逆子结构方法确定包装耦合体动态特性[J]. 包装工程,2006,27(3)：49-51.
LÜ Guangqing. Applying inverse substructuring approach to determining dynamic characteristics of a coupling unit-of-packaging[J]. Packaging Engineering,2006,27(3)：49-51.
[21] 吕广庆. 离散化包装耦合体动刚度的逆子结构计算方法[J]. 噪声与振动控制,2009,29(2)：16-18,105.
LÜ Guangqing. Inverse substructuring analysis of dynamic stiffness of discretized coupling unit-of- packaging[J]. Noise and Vibration Control,2009,29(2)： 16-18,105.
[22] WANG Z W,WANG J,ZHANG Y B,et al. Application of the inverse substructure method in the investigation of dynamic characteristics of product transport system[J]. Packaging Technology and Science,2012,25(6)： 351-362.
[23] LI J,LIM T C. Application of enhanced least square to component synthesis using FRF for analyzing dynamic interaction of coupled body-subframe system[R]. Society of Automotive Engineering,1999,Paper No.1999-01-1826.