Inverse mode problems for the finite element model of a vibrating rod

被引：4

作者：

Tian, Xia ^{[1
]}

Dai, Hua ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Eigenvalue; Inverse problem; Rod; Finite element model;

D O I：

10.1016/j.amc.2009.04.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse mode problems for the finite element model of an axially vibrating rod are formulated and solved. It is known that for the finite element model, based on linear shape functions, of the rod, the mass and stiffness matrices are both tridiagonal. It is shown that the finite element model of the rod can be constructed from two eigenvalues, their corresponding eigenvectors and the total mass of the rod. The necessary and sufficient conditions for the construction of a physically realizable rod with positive mass and stiffness elements from two eigenpairs and the total mass of the rod are established. If these conditions are satisfied, then the construction of the model is unique. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.

引用

页码：479 / 486

页数：8

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