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振动特征值的边界约束刚度灵敏度
引用本文:黄斌,常晓林,肖焕雄. 振动特征值的边界约束刚度灵敏度[J]. 振动与冲击, 2001, 20(4): 50-51
作者姓名:黄斌  常晓林  肖焕雄
作者单位:武汉大学水电系,武汉,430072
摘    要:研究基于边界约束刚度修改的振动值灵敏度问题。利用摄动法,将微分方程和边界条件化为不同摄动阶的微分方程和边界条件,从而得到特征值问题的灵敏度方程。运用有限元法,推导了特征值的边界约束刚度灵敏度的近似表达式,并用算例作了说明。

关 键 词:边界约束刚度 灵敏度 特征值 结构设计 有限元方程 结构振动 固有振动
修稿时间:2001-03-17

Boundary Stiffness Sensitivity Analysis of Eigenvalues
Huang bin Chang Xiaolin Xiao Huanxiong Hydroelectric Engineering Department,Wuhan University,Wuhan ). Boundary Stiffness Sensitivity Analysis of Eigenvalues[J]. Journal of Vibration and Shock, 2001, 20(4): 50-51
Authors:Huang bin Chang Xiaolin Xiao Huanxiong Hydroelectric Engineering Department  Wuhan University  Wuhan )
Affiliation:Huang bin Chang Xiaolin Xiao Huanxiong Hydroelectric Engineering Department,Wuhan University,Wuhan 430072)
Abstract:In the paper,boundary stiffness sensitivity of eigenvalues is studied.Using perturbation method,the distributed parameter differential equations plus boundary conditions that govern the sensitivity of eigenproblem are obtained.Then the differential equations and boundary conditions are discretized utilizing finite element method and the similar expression for eigenvalue sensitivity considering boundary stiffness is derived.An example is given to illustrate the method proposed in the paper.
Keywords:boundary stiffness  sensitivity  eigenvalues  
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