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Extracting Eigenvalues and Eigenvectors Technique

Extracting Eigenvalues and Eigenvectors Technique
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Copyright: 2021
Pages: 23
Source title: Structural Dynamics and Static Nonlinear Analysis From Theory to Application
Source Author(s)/Editor(s): Mourad Belgasmia (Setif 1 University, Algeria)
DOI: 10.4018/978-1-7998-4399-3.ch006

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Abstract

In the process of solving dynamics problems at a given stage, one needs to have the dynamic characteristic of the structure in order to be able to push the calculation (resolution). Further, these characteristics are the eigenvalues and eigenvectors. In this chapter, some important points are dealt with, namely problem with standard eigenvalues, property of eigenvalues and eigenvectors, Rayleigh quotient, offset of eigenvalues, and different methods for extracting eigenvalues and eigenvectors are presented. At the end, some examples are exposed.

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