A modified variational iteration method for the analysis of viscoelastic beams

被引：23

作者：

Martin, Olga ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Fac Sci Appl, Bucharest, Romania

来源：

APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 17-18期

关键词：

Viscoelastic beam; Euler-Bernoulli beam theory; Galerkin method; Variational iteration method; Laplace transform; Correspondence principle; FINITE-ELEMENT-METHOD; SOLIDS; PLATES;

D O I：

10.1016/j.apm.2016.04.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：7988 / 7995

页数：8

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