振动传递路径系统的参数和全局灵敏度分析
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摘要
提出了振动传递路径系统响应对系统参数和传递路径的全局灵敏度分析的数值方法。考虑结构参数的随机性,获取各传递路径受体输出响应的随机统计特征,以及路径中系统参数对受体振动响应的定量影响关系。基于文中数值方法,可以定量表述影响振动传递路径系统中受体振动特性大小的路径重要度排序以及系统参数的灵敏度排序。以典型多自由度振动路径分析模型为例,讨论了随机振动系统传递路径重要度分析过程,通过与Monte-Carlo随机模拟结果相对比,验证了本方法的正确性与可行性。
In this paper,a numerical method for global sensitivity analysis of system parameters and transfer paths in response to vibration transfer path systems is proposed.Considering the randomness of structural parameters,we obtain the stochastic statistical characteristics of the output response of each path,as well as the quantitative relationship between the parameters of the system and the response of the receiver.Based on the numerical method,the importance paths ranking and the sensitivity ranking of the system parameters can be quantitatively expressed in the vibration transfer path system.Taking the typical multi-degree-of-freedom vibration path analysis model as an example,we discuss the process of important analysis for the transfer path system.The correctness and feasibility of the algorithm are verified by comparison with Monte-Carlo stochastic simulation results.
In this paper,a numerical method for global sensitivity analysis of system parameters and transfer paths in response to vibration transfer path systems is proposed.Considering the randomness of structural parameters,we obtain the stochastic statistical characteristics of the output response of each path,as well as the quantitative relationship between the parameters of the system and the response of the receiver.Based on the numerical method,the importance paths ranking and the sensitivity ranking of the system parameters can be quantitatively expressed in the vibration transfer path system.Taking the typical multi-degree-of-freedom vibration path analysis model as an example,we discuss the process of important analysis for the transfer path system.The correctness and feasibility of the algorithm are verified by comparison with Monte-Carlo stochastic simulation results.
引文
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[9]Zhang Yimin,Huang Xianzhen,Zhao Qun.Sensitivity analysis for vibration transfer path systems with nonviscous damping[J].Journal of Vibration and Control,2011,17(7):1042-1048.
[10]Zhang Yimin,Huang Xianzhen.Sensitivity with respect to the path parameters and nonlinear stiffness of vibration transfer path systems[J].Mathematical Problems in Engineering,2010,2010:650247.
[11]Vetter W J.Matrix calculus operations and Taylor expansions[J].SIAM Review,1973,15(2):352-369.
[2]Wohlever J L,Bernhard R J.Mechanical energy flow models of rods and beams[J].Journal of Sound and Vibration,1992,153(1):1-19.
[3]Singh R,Kim S.Examination of multi-dimensional vibration isolation measures and their correlation to sound radiation over a broad frequency range[J].Journal of Sound and Vibration,2003,262(3):419-455.
[4]Cremer L,Heckl M.Structure-borne sound:structural vibrations and sound radiation at audio frequencies[M].[S.l.]:Springer Science&Business Media,2013.
[5]Kim S,Singh R.Vibration transmission through an isolator modelled by continuous system theory[J].Journal of Sound and Vibration,2001,248(5):925-953.
[6]Zhang Yimin,Chen Suhuan,Liu Qiaoling,et al.Stochastic perturbation finite elements[J].Computers&Structures,1996,59(3):425-429.
[7]Zhang Yimin,Wen Bangchun,Chen Suhuan.PFEM formalism in Kronecker notation[J].Mathematics and Mechanics of Solids,1996,1(4):445-461.
[8]Wen Bangchun,Zhang Yimin,Liu Qiaoling.Response of uncertain nonlinear vibration systems with 2D matrix functions[J].Nonlinear Dynamics,1998,15(2):179-190.
[9]Zhang Yimin,Huang Xianzhen,Zhao Qun.Sensitivity analysis for vibration transfer path systems with nonviscous damping[J].Journal of Vibration and Control,2011,17(7):1042-1048.
[10]Zhang Yimin,Huang Xianzhen.Sensitivity with respect to the path parameters and nonlinear stiffness of vibration transfer path systems[J].Mathematical Problems in Engineering,2010,2010:650247.
[11]Vetter W J.Matrix calculus operations and Taylor expansions[J].SIAM Review,1973,15(2):352-369.