A New Method for Computing Eigenpairs of a Finite Element Structure

Ping Liang; Yu Hang Zhang; Jun Wei; Bing Yu

doi:10.4028/www.scientific.net/AMM.590.672

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 590A New Method for Computing Eigenpairs of a Finite...

A New Method for Computing Eigenpairs of a Finite Element Structure

Abstract:

Based on the weighted inverse topological change method and by introducing a new concept of mass submembers, a dynamical system can be transformed into a static one. Using the properties of the weighted D value, i.e. the weighted D value decreases monotonously with parameter λ increasing; a new method called the weighted D value iteration method is presented for computing the eigenpairs (eigenvalues and eigenvectors). Using this method a series of eigenpairs of a finite element structure can be obtained. It has a merit of simpler algorithm and less computation efforts. Not as the power method, its stability and convergence rate does not depend on the distribution of eigenvalues, and convergent quickly. An example is given to demonstrate the valid of this method.

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Periodical:

Applied Mechanics and Materials (Volume 590)

Pages:

672-676

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.590.672

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Online since:

June 2014

Authors:

Ping Liang, Yu Hang Zhang*, Jun Wei, Bing Yu

Keywords:

Eigenvalue, Eigenvector, Finite Element Structure, Weighted D-Value Iteration Method, Weighted Inverse Topological Change

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