A modified variational iteration method for the analysis of viscoelastic beams

•An algorithm based on VIM and Laplace transformation is created for the dynamic study of viscoelastic beams.•It is avoided the definition of initial approximation in the using of VIM, which is a difficult step for nonlinear problems.•There are no errors, which usually accompany the methods based on...

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Vydané v:	Applied mathematical modelling Ročník 40; číslo 17-18; s. 7988 - 7995
Hlavný autor:	Martin, Olga
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.09.2016
Predmet:	Correspondence principle Euler–Bernoulli beam theory Galerkin method Laplace transform Variational iteration method Viscoelastic beam Variational iteration method Viscoelastic beam Galerkin method Correspondence principle Laplace transform Euler–Bernoulli beam theory
ISSN:	0307-904X
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Popis
Shrnutí:	•An algorithm based on VIM and Laplace transformation is created for the dynamic study of viscoelastic beams.•It is avoided the definition of initial approximation in the using of VIM, which is a difficult step for nonlinear problems.•There are no errors, which usually accompany the methods based on the discretization of time interval. Based on a constitutive law in a hereditary integral form, a mathematical model for dynamic analysis of the isotropic linear viscoelastic beams is presented. To solve the governing equation for these structures subjected to a distributed load is created an accuracy and computational efficiency algorithm that uses Galerkin's method and a modified form of the variational iteration method (VIM) for time-domain equations. Numerical results for both quasi-static and dynamic analysis are presented and these will be accompanied by the graphical representations.
ISSN:	0307-904X
DOI:	10.1016/j.apm.2016.04.011