Eigenvalue sensitivity analysis based on the transfer matrix method

作     者：Dieter Bestle 

作者机构：Engineering Mechanics and Vehicle DynamicsBrandenburg University of Technology Cottbus‐SenftenbergCottbusGermany 

出 版 物：《International Journal of Mechanical System Dynamics》 (国际机械系统动力学学报（英文）)

年 卷 期：2021年第1卷第1期

页      面：96-107页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：Nanjing University of Science and Technology  NUST 

主　　题：adjoint variable method direct differentiation sensitivity analysis transfer matrix method 

摘      要：For linear mechanical systems,the transfer matrix method is one of the most efficient modeling and analysis ***,in contrast to classical mod-eling strategies,the final eigenvalue problem is based on a matrix which is a highly nonlinear function of the ***,classical strategies for sensitivity analysis of eigenvalues *** parameters cannot be *** paper develops two specific strategies for this situation,a direct differentiation strategy and an adjoint variable method,where especially the latter is easy to use and applicable to arbitrarily complex chain or branched multibody *** the system analysis itself,it is able to break down the sensitivity analysis of the overall system to analytically determinable derivatives of element transfer matrices and recursive formula which can be applied along the transfer path of the topology *** examples of different complexity validate the proposed approach by comparing results to analytical calculations and numerical *** obtained procedure may support gradient‐based optimization and robust design by delivering exact sensitivities.