International Journal of Optimization in Civil Engineering, Volume (7), No (1), Year (2016-12) , Pages (109-127)

Title : ( Optimization Formulation For Nonlinear Structural Analysis )

Authors: Mohaamad Rezaiee Pajand , Hossein Afsharimoghadam ,

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In this paper, the effect of angle between predictor and corrector surfaces on the structural analysis is investigated. Two objective functions are formulated based on this angle and also the load factor. Optimizing these functions, and using the structural equilibrium path’s geometry, lead to two new constraints for the nonlinear solver. Besides, one more formula is achieved, which was previously found by other researchers, via a different mathematical process. Several benchmark structures, which have geometric nonlinear behavior, are analyzed with the proposed methods. The finite element method is utilized to analyze these problems. The abilities of suggested schemes are evaluated in tracing the complex equilibrium paths. Moreover, comparison study for the required number of increments and iterations is performed. Results reflect the robustness of the authors’ formulations.


, optimization, path-following analysis, geometric nonlinear behavior, constraint equality, load-displacement curve, limit points.
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author = {Rezaiee Pajand, Mohaamad and Afsharimoghadam, Hossein},
title = {Optimization Formulation For Nonlinear Structural Analysis},
journal = {International Journal of Optimization in Civil Engineering},
year = {2016},
volume = {7},
number = {1},
month = {December},
issn = {2228-7558},
pages = {109--127},
numpages = {18},
keywords = {optimization; path-following analysis; geometric nonlinear behavior; constraint equality; load-displacement curve; limit points.},


%0 Journal Article
%T Optimization Formulation For Nonlinear Structural Analysis
%A Rezaiee Pajand, Mohaamad
%A Afsharimoghadam, Hossein
%J International Journal of Optimization in Civil Engineering
%@ 2228-7558
%D 2016