An Inverse Eigenvalue Problem for Star Spring-Mass System

Xia Tian; Chuan Xiao Li

doi:10.4028/www.scientific.net/AMM.166-169.3348

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169An Inverse Eigenvalue Problem for Star Spring-Mass...

An Inverse Eigenvalue Problem for Star Spring-Mass System

Abstract:

The mass-normalized stiffness matrix of the star spring-mass system is an arrowhead matrix. Given two eigenpairs of the arrowhead matrix. It is assumed that the total mass of a star spring-mass system is known. The problem of constructing the physical elements of the system from the known data is considered. The necessary and sufficient conditions for the construction of a physical realizable system with positive mass and spring stiffness are established. If these conditions are satisfied, the system may be constructed uniquely.

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Periodical:

Applied Mechanics and Materials (Volumes 166-169)

Pages:

3348-3351

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.3348

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Online since:

May 2012

Authors:

Xia Tian, Chuan Xiao Li

Keywords:

Eigenpair, Eigenvalue, Inverse, Star Spring-Mass System

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