Inverse eigenvalue problem for a class of spring-mass systems

被引：0
|
作者：
Wan, Wenting [1 ]
机构：
[1] School of Mathematics and Physics, Jingchu University of Technology, Jingmen,Hubei, China
来源：
Open Automation and Control Systems Journal | 2014年 / 6卷 / 01期
关键词：
Eigenpairs - Inverse eigenvalue problems - Jacobi matrix - Numerical algorithms - Numerical results - Physical parameters - Spring-mass system;
D O I：
10.2174/1874444301406010934
中图分类号：
学科分类号：
摘要：
This paper discusses the constructional problem for a class of spring-mass systems whose part particles are connected to the ground. The problem is converted to an inverse eigenvalue problem for Jacobi matrix. An inverse eigenvalue problem of determining the system from its some physical parameters and incomplete eigenpairs is solved. The necessary and sufficient condition for constructing the system uniquely with positive parameters is obtained. Furthermore, the concrete expressions of the solution and the related numerical algorithm are derived, and numerical results show that the algorithm is effective. © Wenting Wan; Licensee Bentham Open.
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页码：934 / 939
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