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Exact elastic stability analysis based on dynamic stiffness method

Exact elastic stability analysis based on dynamic stiffness method
Exact elastic stability analysis based on dynamic stiffness method
The article is dedicated to the discussion on the exact dynamic stiffness matrix method applied to the problems of elastic stability of engineering structures. The detailed formulation of the member dynamic stiffness matrix for beams is presented along with the general guidelines on automatisation of the assembly of member dynamic stiffness matrices into the global matrix that corresponds to the whole structure. The advantage of the dynamic stiffness matrix in case of parametric studies is explained. The problem of computing the eigenvalues of transcendental matrix is addressed. The straightforward approach as well as a powerful Witrick-Williams algorithm are discussed in details. The general guidelines on programming the DS matrix method are given as well.
Elastic stability, Buckling, Dynamic stiffness matrix, Eigenvalues, Wittrick-Williams algorithm
2305-9001
108-118
Iakovliev, Andrii
8f2242a2-fb0e-4603-aed8-f17331846df7
Iakovliev, Andrii
8f2242a2-fb0e-4603-aed8-f17331846df7

Iakovliev, Andrii (2016) Exact elastic stability analysis based on dynamic stiffness method. Journal of Mechanical Engineering NTUU Kyiv Polytechnic Institute, 2 (77), 108-118. (doi:10.20535/2305-9001.2016.77.78904).

Record type: Article

Abstract

The article is dedicated to the discussion on the exact dynamic stiffness matrix method applied to the problems of elastic stability of engineering structures. The detailed formulation of the member dynamic stiffness matrix for beams is presented along with the general guidelines on automatisation of the assembly of member dynamic stiffness matrices into the global matrix that corresponds to the whole structure. The advantage of the dynamic stiffness matrix in case of parametric studies is explained. The problem of computing the eigenvalues of transcendental matrix is addressed. The straightforward approach as well as a powerful Witrick-Williams algorithm are discussed in details. The general guidelines on programming the DS matrix method are given as well.

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More information

e-pub ahead of print date: 17 November 2016
Published date: 2016
Keywords: Elastic stability, Buckling, Dynamic stiffness matrix, Eigenvalues, Wittrick-Williams algorithm

Identifiers

Local EPrints ID: 423049
URI: http://eprints.soton.ac.uk/id/eprint/423049
ISSN: 2305-9001
PURE UUID: 09e2a6b1-2609-47f1-a0b7-5f52627a6d91
ORCID for Andrii Iakovliev: ORCID iD orcid.org/0000-0003-4031-0073

Catalogue record

Date deposited: 13 Aug 2018 16:30
Last modified: 07 Aug 2020 01:44

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