传递路径分析中计算子系统频响函数的方法  

An approach to calculate subsystems′frequency response functions in transfer path analysis

作　　者：廖旭晖 李舜酩[1] 孟浩东[2] 王勇[3] 廖连莹[2] LIAO Xu-hui;LI Shun-ming;MENG Hao-dong;WANG Yong;LIAO Lian-ying(College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Mechanical and Vehicle Engineering,Changzhou Institute of Technology,Changzhou 213032,China;Automotive Engineering Research Institute,Jiangsu University,Zhenjiang 212013,China)

机构地区：[1]南京航空航天大学能源与动力学院,江苏南京210016 [2]常州工学院机械与车辆工程学院,江苏常州213032 [3]江苏大学汽车工程研究院,江苏镇江212013

出　　处：《振动工程学报》2018年第4期681-687,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51675262);国家重点研究和发展项目(2016YDF0700800);预研领域基金课题(6140210020116HK02001);江苏省博士后科研资助计划资助项目(1601064C)

摘　　要：传递路径分析是在振动噪声控制领域被广泛应用的一种有效方法。传递路径分析中将振动系统分成主动部分、被动部分以及连接主、被动部分的若干传递路径。在传递路径分析中需要对被动部分的频响函数进行测量。传统的传递路径分析需要先拆除子结构然后再测量频响函数,测试过程十分繁琐。提出了一种全新的方法来计算子系统的频响函数,直接由整个系统的频响函数矩阵推导得到子系统的频响函数矩阵的计算公式。该方法不需要对子系统进行物理解耦,大大缩短了测量子系统频响函数所需要的时间。数值算例和实验均验证了该方法的正确性和有效性。Transfer path analysis(TPA)is a widely used and effective method in the field of vibration and noise control.In TPA,vibrational systems are divided into the active part,passive part and some transfer paths through which the active and passive parts are connected.In TPA,it is necessary to measure the frequency response functions(FRFS)of the passive part.In classical TPA,the substructure needs to be disassembled firstly and then the frequency response function is measured.Therefore,the test process is very cumbersome.In this paper,a novel method is proposed to calculate the FRFs of the subsystem.The formulation of the FRF matrix of the subsystem is derived from the FRF matrix of the whole system directly.Obviously,the proposed method does not require the physical decoupling of subsystems.Consequently,the time required to measure the frequency response function of the subsystem is greatly shorten.The correctness and effectiveness of this method are validated by a numerical case and an experimental case.

关 键 词：子系统 传递路径分析 频响函数 解耦 

分 类 号：O321[理学—一般力学与力学基础] TB123[理学—力学]