Determination of the natural frequencies and mode shapes for large structures by accelerated Newton-Raphson method

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An efficient numerical method which can calculate the natural frequencies and mode shapes for very large structural systems is presented. This method applies the accelerated Newton-Raphson method to eigenproblems. If eigenvalues are not multiple, this method can calculate the natural frequencies and mode shapes without any numerical instability which may be encountered in the inverse iteration method with shift. The efficiency of this method is verified by comparing convergence and solution time for numerical examples with those of the well-known methods such as the subspace iteration method and the determinant search method. (C) 1997 Elsevier Science Ltd.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1997
Language
English
Article Type
Article
Citation

COMPUTERS & STRUCTURES, v.63, no.1, pp.61 - 68

ISSN
0045-7949
DOI
10.1016/S0045-7949(97)90002-X
URI
http://hdl.handle.net/10203/72240
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