Variational iteration algorithm I with an auxiliary parameter for the solution of differential equations of motion for simple and damped mass–spring systems

被引：30
作者：
Ahmad H. [1 ]
Khan T.A. [1 ]
机构：
[1] Department of Basic Sciences, University of Engineering and Technology, Peshawar, Peshawar
来源：
Noise and Vibration Worldwide | 2020年 / 51卷 / 1-2期
关键词：
mass–spring system; transverse vibration; Variational iteration algorithm I; variational iteration algorithm I with an auxiliary parameter; vibration problems;
D O I：
10.1177/0957456519889958
中图分类号：
学科分类号：
摘要：
In this article, variational iteration algorithm I with an auxiliary parameter is used for simple and damped mass–spring systems that undergo forced vibrations and transverse vibration of uniform and variable beams with simply supported analytical treatment. In addition, common vibration problems are classified and the values of Lagrange multipliers are identified for each type of problem. Examples are given at the end, which shows that this modification demonstrated the high efficiency and attained very good agreement in illustrated models and might be promptly reached out to other nonlinear differential and partial differential equations. © The Author(s) 2019.
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页码：12 / 20
页数：8
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