An Inverse Mode Problem for the Rod on Elastic Foundation

Xia Tian; Chuan Xiao Li

doi:10.4028/www.scientific.net/AMM.353-356.3198

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 353-356An Inverse Mode Problem for the Rod on Elastic...

An Inverse Mode Problem for the Rod on Elastic Foundation

Abstract:

Consider the rod on elastic foundation. Its discrete model is 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 spring stiffness 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 rod on the elastic foundation 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:

3198-3201

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.353-356.3198

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Online since:

August 2013

Authors:

Xia Tian, Chuan Xiao Li

Keywords:

Eigenvalue, Inverse Mode Problem, Rod

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