用于间接获取耦合界面频响函数的变截面频响探针研究

PDF(719 KB)

振动与冲击 ›› 2017, Vol. 36 ›› Issue (24) : 130-135.

论文

孟天涯1 ，王军 1，2，郭蓓蓓 1，张小英 1，郭睿 1

作者信息 +

Variable cross-section FR probe technique for indirectly getting immeasurable FRFs of a coupling interface

MENG Tian-ya 1 WANG Jun1, 2 GUO Bei-bei1 ZHANG Xiao-ying1 GUO Rui1

Author information +

文章历史 +

摘要

针对传统逆子结构理论在实测中耦合界面响应数据难以获得的问题，在已有等截面频响探针技术的基础上，为调和等截面探针过细无法固定传感器、施加激励和过粗难以深入到系统耦合界面的矛盾，提出一种更为实用的变截面频响探针技术。首先基于杆件纵向振动的通用动力学方程，对变截面面积函数进行代换，从而得出变截面杆件纵向振动方程式的解。之后通过理论推导，得到变截面频响探针技术的公式。为了去除频响探针自身质量对测量结果的影响，对变截面频响探针技术公式进行了优化。最后运用有限元方法对变截面频响探针技术进行了验证。结果表明变截面频响探针技术可以用来获取界面响应的不可测数据,且相比等截面探针更为实用。

Abstract

To solve the problem of difficultly getting response data of an interface between substructures with the traditional inverse substructure method, based on the existing constant cross-section FR probe technique, reconciling the contradiction that a too thin constant cross-section FR probe was unable to fix sensors and exert excitation and a too thick one was unable to enter deeply a system’s coupling interface, a variable cross-section FR probe technique was proposed. Firstly, based on the general dynamic equation of longitudinal vibration rods, the solution to the variable cross-section rods’ longitudinal vibration equation was derived through the substitution of variable cross-section function. Then, the formulas for variable cross-section FR probe technique were obtained through theoretical derivation. These formulas were optimized to remove effects of the probe’s mass on the measured results. Finally, the proposed technique was verified with the finite element method. It was shown that the variable cross-section FR probe technique can be used to indirectly get immeasurable data of interface responses.

导出引用

孟天涯1,王军 1，2，郭蓓蓓 1，张小英 1，郭睿 1. 用于间接获取耦合界面频响函数的变截面频响探针研究[J]. 振动与冲击, 2017, 36(24): 130-135

MENG Tian-ya 1 WANG Jun1, 2 GUO Bei-bei1 ZHANG Xiao-ying1 GUO Rui1. Variable cross-section FR probe technique for indirectly getting immeasurable FRFs of a coupling interface[J]. Journal of Vibration and Shock, 2017, 36(24): 130-135

参考文献

[1]郑兆昌. 复杂结构振动研究的模态综合技术[J].振动与冲击,1982,1(1):28-36.
ZHENG Zhao-chang. The study on vibration of complex structure systems by component mode synthesis techniques[ J ]. Journal of Vibration and Shock, 1982, 1(1) : 28-36.
[2]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): 289-302.
Xiang Shu-hong, Qiu Ji-bao, Wang Da-jun. The resent progresses on modal analysis and dynamic sub-structure methods [J] Advances in Mechanics, 2004, 34(3): 289-302.
[3]吴仕超, 蔡国平. 考虑界面转角自由度的频域子结构法研究[J].振动工程学报, 2011, 24(3): 323-326.
Wu Shi-chao, Cai Guo-ping. FRF Based Substructuring Technique Considering Rotational Degrees of Freedom of Interface[J]. Journal of Vibration Engineering, 2011, 24(3):323-326.
[4]杨炳渊,宋彦国.界面连接刚度参数辨识的子结构分析法[J]. 力学季刊, 2001, 22(4): 420-427.
YANG Bing-yuan, SONG Yan-guo. A Substructure Method of Parameter Identification for Joining Stiffness on Interfaces[J]. Chinese Quarterly of Mechanics, 2001, 22(4): 420-427.
[5]Li J, Lim T C. Application of enhanced least square to component synthesis using FRF for analyzing dynamic interaction of coupled body-sub-frame system[C]. Proceedings of the SAE Noise and Vibration Conference and Exposition, Michigan, USA, 1999.
[6]Otte D, Leuridan J, Grangier H, et al. Prediction of the dynamics of structural assemblies using measured
FRF-data:some improved data enhancement techniques[C]. Proceedings of the 9th International Modal Analysis Conference, Florence, Italy, 1991.
[7]Lim T C,Steyer G C. Hybrid experimental-analytical simulation of structure-borne noise and vibration problems in automotive systems [J]. Journal of Passenger Cars, 1992, 101(6): 585-591.
[8]宋攀, 董兴建, 孟光. 实验模态综合法若干问题的研究[J].振动与冲击,2011,30(9):174-177.
SONG Pan，DONG Xing-jian，MENG Guang. Some problems regarding experimental modal synthesis method[J]. Journal of Vibration and Shock，2011,30(9):174-177.
[9]Lim T C, Steyer G C. An improved numerical procedure for the coupling of dynamic components using frequency response functions[C]. Proceedings of the 9th International Modal Analysis Conference, Florence, Italy, 1991.
[10]Lim T C. Determination of the frequency response functions(FRF) of complex systems using spectral-based inverse sub-structuring approach[C]. Proceedings of the 141st Meeting of the Acoustical Society of America, Chicago, USA, 2001.
[11]Zhen J, Lim T C, Lu G Q, et al. Experimental determination of automotive system response characteristics[J]. Proceedings of the SAE Noise and Vibration Conference and Exposition, Michigan, USA, 2001.
[12]Liu L,Lim T C.Effect of structural coupling formulation on FRF-based inverse sub-structuring predictions[C]. Proceedings of the International Congress and Exposition on Noise Control Engineering, Michigan, USA, 2002.
[13]Zhen J, 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): 1-30.
[14]Zhen J, 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): 31–67.
[15]Liu L, Lim T C. An experimental study of the chassis vibration transmissibility applying a spectral-based inverse substructuring technique[C]. Proceedings of the SAE Noise and Vibration Conference and Exposition, Michigan, USA, 2005.
[16]D’Ambrogio W, Fregolent A. Promises and pitfalls of decoupling procedures[C]. Proceeding of 26th International Modal Analysis Conference, Florida, USA, 2008.
[17]Sjövall P, Abrahamsson T. Substructure system identification from coupled system test data[J]. Mechanical Systems and Signal Processing, 2008, 22(1): 15-33.
[18]Voormeeren S N, Rixen D J. A family of substructure decoupling techniques based on a dual assembly approach[J]. Mechanical Systems and Signal Processing, 2012, 27: 379-396.
[19]D'Ambrogio W, Fregolent A. Inverse dynamic substructuring using the direct hybrid assembly in the frequency domain[J]. Mechanical Systems and Signal Processing, 2014, 45(2): 360-377.
[20] 王启利, 王军, 孙中振,等. 获取界面响应不可测数据的频响探针关键技术研究[J]. 包装工程, 2016(1):6-10.
WANG Qi-li， WANG Jun， SUN Zhong-zhen， et al. Key Technology of Frequency Response Probe for Obtaining Unmeasured Data of the Interface Response[J]. Packaging Engineering， 2016(1)：6-10.
[21]C.Q.Liu, ROGER Pawlowski, JEFF.O. A New Method for Obtaining FRF of a Structure in Area Where Impact Hammer Cannot Reach[R]. SAE Noise and Vibration Conference and Exhibition, 2007:1966—1968.
[22]王军, 王志伟, 卢立新,等. 多部件耦合包装系统逆子结构分析一般性理论[J]. 振动与冲击, 2014, 33(7):58-62.
WANG Jun， WANG Zhi-wei， LU Li-xin， et al. Generalized Inverse Substructuring Method for Multi-component Coupled Packaging System[J]. Journal of Vibration and Shock， 2014， 33（7）： 58-62.
[23]王军, 卢立新, 王志伟. 产品破损评价及防护包装力学研究[J]. 振动与冲击, 2010, 29(8):43-45.
WANG Jun，LU Li-xin，WANG Zhi-wei． Product damage evaluation and protective packaging dynamics［J］． Journal of Vibration and Shock，2010, 29(8):43-45.
[24]莫愁, 陈吉清, 兰凤崇. 扩展工况传递路径分析方法改进[J]. 振动与冲击, 2015, 34(8):129-133.
MO Chou，CHEN Ji-qing，LAN Feng-chong． Improvement of operational-X transfer path analysis method［J］． Journal of Vibration and Shock，2015， 34( 8) :129 -133.