An Inverse Eigenvalue Problem for Spring-Mass Systems with Partial Mass Connected to the Ground

Xia Tian; Chuan Xiao Li

doi:10.4028/www.scientific.net/AMM.353-356.3308

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 353-356An Inverse Eigenvalue Problem for Spring-Mass...

An Inverse Eigenvalue Problem for Spring-Mass Systems with Partial Mass Connected to the Ground

Abstract:

Consider the simply connected spring-mass system with partial mass connected to the ground. The inverse mode problem of constructing the physical elements of the system from two eigenpairs, the grounding spring stiffness and total mass of the system is considered. The necessary and sufficient conditions for constructing a physical realizable system with positive mass and stiffness elements are established. If these conditions are satisfied, the grounding spring-mass system may be constructed uniquely. The numerical methods and examples are given finally.

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Periodical:

Applied Mechanics and Materials (Volumes 353-356)

Pages:

3308-3311

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.353-356.3308

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Online since:

August 2013

Authors:

Xia Tian, Chuan Xiao Li

Keywords:

Eigenpair, Inverse Problem, Mode, Spring-Mass System

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