Title : ( Four New Methods for Finding Structural Critical Points )
Authors: Mohaamad Rezaiee Pajand , Hamid Reza Vejdani Noghreiyan , alir reza naghavi ,
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Abstract
Four systematic approaches are developed in the context of the indirect methods for analyzing the nonlinear prebuckling behavior. In this study, an appropriate test function to monitor bypassing of the critical points is utilized. The main idea of the article is to find the critical loads by using the perturbation of the eigenvalue. Both linear and quadratic variations of the eigenvalue and also parabolic changes of the structural stiffness are considered. Moreover, other available techniques to find the critical points are briefly reviewed. Finally, the accuracy and robustness of the presented procedures are investigated by solving some well-known benchmark problems
Keywords
Critical point; Eigenvalue; Equilibrium path; Perturbation; Structural stability; Tangent stiffness matrix
@article{paperid:1035395,
author = {Rezaiee Pajand, Mohaamad and Vejdani Noghreiyan, Hamid Reza and Naghavi, Alir Reza},
title = {Four New Methods for Finding Structural Critical Points},
journal = {Mechanics Based Design of Structures and Machines},
year = {2013},
volume = {41},
number = {4},
month = {July},
issn = {1539-7734},
pages = {399--420},
numpages = {21},
keywords = {Critical point; Eigenvalue; Equilibrium path; Perturbation; Structural stability; Tangent
stiffness matrix},
}
%0 Journal Article
%T Four New Methods for Finding Structural Critical Points
%A Rezaiee Pajand, Mohaamad
%A Vejdani Noghreiyan, Hamid Reza
%A Naghavi, Alir Reza
%J Mechanics Based Design of Structures and Machines
%@ 1539-7734
%D 2013
