An Inverse Mode Problems for Simply Connected Central Symmetric Spring-Mass Systems

Xia Tian; Chuan Xiao Li

doi:10.4028/www.scientific.net/AMM.166-169.3399

Paper Titles

Brief Introduction of Residual Thrust Method and its Improvement
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169An Inverse Mode Problems for Simply Connected...

An Inverse Mode Problems for Simply Connected Central Symmetric Spring-Mass Systems

Abstract:

Given the odd /even degree eigenpair and the even degree eigenpair of a simply connected central symmetric spring-mass system respectively. The inverse mode problem of constructing the physical elements of the system from two eigenpairs and the total mass of the system is considered. The necessary and sufficient conditions for constructing of a physical realizable system with positive mass and stiffness elements are established. If these conditions are satisfied, the simply connected central symmetric 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 166-169)

Pages:

3399-3402

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.3399

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Online since:

May 2012

Authors:

Xia Tian, Chuan Xiao Li

Keywords:

Central Symmetric, Eigenpair, Inverse Problem, Mode, Spring-Mass System

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