The Reconstruction of Spring-Mass System with Partial Given Data

被引：0

作者：

Wan, Wenting ^{[1
]}

机构：

[1] Jingchu Univ Technol, Sch Math & Phys, Jingmen 448000, Hubei, Peoples R China

来源：

PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MECHANICAL SCIENCE AND ENGINEERING | 2016年 / 66卷

关键词：

Spring-mass system; jacobi matrix; inverse eigenvalue problem; eigenpair; INVERSE EIGENVALUE PROBLEM; PHYSICAL PARAMETERS; JACOBI MATRICES; MIXED DATA;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, two inverse vibration problems of constructing a grounding spring-mass system from its two eigenpairs and part of spring stiffness are considered. The vibration system is constrained to satisfy a relation that the total mass of system is a constant, and the problems are transferred into inverse eigenvalue problems for Jacobi matrix. The necessary and sufficient conditions for the construction of physically realizable systems with positive parameters are derived. Furthermore, the corresponding numerical algorithms and numerical example are given.

引用

页数：6

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