Applied Mathematical Modelling, ( ISI ), Volume (53), No (1), Year (2018-1) , Pages (32-48)

Title : ( Geometrical nonlinear analysis based on optimization technique )

Authors: Mohaamad Rezaiee Pajand , Rahele Naserian ,

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Abstract

In this paper, two triangular shapes are used to formulate iteration procedures required for nonlinear analysis. These triangles are formed by the structural load-displacement curve. The areas of these shapes are considered as two variables objective functions. To find the optimal solutions, these functions are minimized with respect to each variable. As a result, two new constraint equations are obtained, which can be utilized as the nonlinear solver. To demonstrate the merit of authors’ scheme, some geometric nonlinear analyses of shells, frames and trusses are performed. Furthermore, present formulations are compared with the cylindrical arc-length method.

Keywords

Optimal solution; Objective function; Constraint equation; Geometric nonlinear analysis; Shell; Frame; Truss
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@article{paperid:1064096,
author = {Rezaiee Pajand, Mohaamad and Naserian, Rahele},
title = {Geometrical nonlinear analysis based on optimization technique},
journal = {Applied Mathematical Modelling},
year = {2018},
volume = {53},
number = {1},
month = {January},
issn = {0307-904X},
pages = {32--48},
numpages = {16},
keywords = {Optimal solution; Objective function; Constraint equation; Geometric nonlinear analysis; Shell; Frame; Truss},
}

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%0 Journal Article
%T Geometrical nonlinear analysis based on optimization technique
%A Rezaiee Pajand, Mohaamad
%A Naserian, Rahele
%J Applied Mathematical Modelling
%@ 0307-904X
%D 2018

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