Holonomic Elastoplastic Reliability Analysis of Truss Systems. I: Theory
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Volume 119, Issue 6
Abstract
Because elastoplastic behavior is a very real possibility under the hazard of random actions during the lifetime of a structural system, it is natural that methods of reliability theory have to be used for the assessment of this type of behavior. The present paper is the first part of an investigation on holonomic elastoplastic reliability analysis of truss systems under random loads. The formulation of a method that accounts for the nonlinear behavior of truss systems by using holonomic elastoplastic analysis is outlined. Following a brief description of the deterministic direct holonomic elastoplastic analysis formulation, a modified formulation is proposed for the purpose of reliability analysis. The derived formulation is used in conjunction with both the elastoplastic mode generation method and the mathematical programming method to solve the reliability analysis problem of holonomic elastoplastic truss systems under random loads. In this problem, both excessive elastoplastic displacements and plastic collapse are considered as system limit states.
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Published In
Journal of Structural Engineering
Volume 119 • Issue 6 • June 1993
Pages: 1778 - 1791
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Feb 28, 1992
Published online: Jun 1, 1993
Published in print: Jun 1993
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