Computers & Structures, ( ISI ), Volume (89), No (1), Year (2011-1) , Pages (783-794)

Title : ( A new method of fictitious viscous damping determination for the dynamic relaxation method )

Authors: Mohaamad Rezaiee Pajand , Mehran Kadkhodayan , J. Alamatian , L. C. Zhang ,

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Abstract

This paper develops a new method for calculating the viscous fictitious damping of the dynamic relaxation (DR) method to overcome one of the most crucial difficulties in its application – the low convergence rate. The DR formulation was derived by error minimizations between two successive iterations to deduce an optimum fictitious mass and viscous damping with the aid of the Stodola iterative process. The efficiency of the new method was verified by its application to a wide range of typical structures with strong nonlinearity. The results show that compared to the conventional DR algorithm such as kinetic approach, the new method improves the convergence rate considerably.

Keywords

Dynamic relaxation Fictitious viscous damping Lowest eigenvalue Nonlinear analysis
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@article{paperid:1022352,
author = {Rezaiee Pajand, Mohaamad and Kadkhodayan, Mehran and J. Alamatian and L. C. Zhang},
title = {A new method of fictitious viscous damping determination for the dynamic relaxation method},
journal = {Computers & Structures},
year = {2011},
volume = {89},
number = {1},
month = {January},
issn = {0045-7949},
pages = {783--794},
numpages = {11},
keywords = {Dynamic relaxation Fictitious viscous damping Lowest eigenvalue Nonlinear analysis},
}

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%0 Journal Article
%T A new method of fictitious viscous damping determination for the dynamic relaxation method
%A Rezaiee Pajand, Mohaamad
%A Kadkhodayan, Mehran
%A J. Alamatian
%A L. C. Zhang
%J Computers & Structures
%@ 0045-7949
%D 2011

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