A modified variational iteration method for the analysis of viscoelastic beams

被引：22
|
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
收藏
页码：7988 / 7995
页数：8
相关论文
共 50 条
  • [31] Application of variational iteration method to large vibration analysis of slenderness beams considering mid-plane stretching
    Daeichi, M.
    Ahmadian, M. T.
    SCIENTIA IRANICA, 2015, 22 (05) : 1911 - 1917
  • [32] An optimal variational iteration method
    Turkyilmazoglu, M.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (05) : 762 - 765
  • [33] A modified variational method for nonlinear vibration analysis of rotating beams including Coriolis effects
    Tian, Jiajin
    Su, Jinpeng
    Zhou, Kai
    Hua, Hongxing
    JOURNAL OF SOUND AND VIBRATION, 2018, 426 : 258 - 277
  • [34] Determination of Periodic Solution for Tapered Beams with Modified Iteration Perturbation Method
    Joubari, Mohammad Mehdi Mashinchi
    Ganji, Davood Domiri
    Jouybari, Hamid Javanian
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2015, 1 (01): : 44 - 51
  • [35] Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation
    Yadav, Sonia
    Singh, Mehakpreet
    Singh, Sukhjit
    Heinrich, Stefan
    Kumar, Jitendra
    Computers and Fluids, 2024, 274
  • [36] Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation
    Yadav, Sonia
    Singh, Mehakpreet
    Singh, Sukhjit
    Heinrich, Stefan
    Kumar, Jitendra
    COMPUTERS & FLUIDS, 2024, 274
  • [37] MODIFIED VARIATIONAL ITERATION METHOD FOR STRAIGHT FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY
    Inc, Mustafa
    Khan, Hasib
    Baleanu, Dumitru
    Khan, Aziz
    THERMAL SCIENCE, 2018, 22 : S229 - S236
  • [38] Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model
    Molliq, R. Yulita
    Noorani, M. S. M.
    Ahmad, R. R.
    Alomari, A. K.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
  • [39] Modified variational iteration method (non-homogeneous initial value problem)
    Abassy, Tamer A.
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 1222 - 1232
  • [40] Modified variational iteration method for an El Nino Southern Oscillation delayed oscillator
    Cao Xiao-Qun
    Song Jun-Qiang
    Zhu Xiao-Qian
    Zhang Li-Lun
    Zhang Wei-Min
    Zhao Jun
    CHINESE PHYSICS B, 2012, 21 (02)
12345