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A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations

Ye, Jianqiao and Williams, F. W. (1995) A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations. International journal for numerical methods in engineering, 38 (6). pp. 1057-1067. ISSN 0029-5981

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Abstract

An alternative algorithm for finding exact natural frequencies or buckling loads from the transcendental, e.g. dynamic, stiffness matrix method is presented in this paper and evaluated by using the plate assembly testbed program VICONOPT. The method is based on the bounding properties of the eigenvalues provided by either linear or quadratic matrix pencils on the exact solutions of the transcendental eigenvalue problem. The procedure presented has five stages, including two accuracy checking stages which prevent unnecessary calculations. Numerical tests on buckling of general anisotropic plate assemblies show that significant time savings can be achieved compared with an earlier multiple determinant parabolic interpolation method.

Item Type: Article
Journal or Publication Title: International journal for numerical methods in engineering
Uncontrolled Keywords: bounding exact ; transcendental eigenproblems
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: Faculty of Science and Technology > Engineering
ID Code: 54338
Deposited By: ep_importer_pure
Deposited On: 21 May 2012 16:04
Refereed?: Yes
Published?: Published
Last Modified: 24 Jan 2014 05:26
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/54338

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