A projected conjugate gradient method for structural stability analysis with linear constraints

In this paper a new iterative method to solve an eigenvalue problem subject to linear homogeneous inequality constraints is presented. This approach allows study of the linearized equilibrium path stability of a structure submitted to unilateral contact conditions. The solution is obtained by using...

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Bibliographic Details
Published inComputers & structures Vol. 33; no. 1; pp. 31 - 39
Main Authors Jeusette, Jean-Pierre, Sonzogni, Victorio
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1989
Elsevier Science
Subjects
Buckling
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Conjugate gradient method
Finite element method
Stability
Inequality constraint
Eigenvalue problem
Mechanical structure
Non linear effect
Algorithm
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Summary:In this paper a new iterative method to solve an eigenvalue problem subject to linear homogeneous inequality constraints is presented. This approach allows study of the linearized equilibrium path stability of a structure submitted to unilateral contact conditions. The solution is obtained by using a projected conjugate gradient technique to minimize the finite element discretized form of the Rayleigh quotient. The good behaviour of this algorithm is illustrated by some simple applications in structural mechanics.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/0045-7949(89)90126-0