Nonlinear oscillation of the bifilar pendulum: An analytical approximation

被引：7

作者：

Khan, Yasir ^{[1
]}

Mirzabeigy, Alborz ^{[2
]}

Arjmand, Hanieh ^{[3
]}

机构：

[1] Department of Mathematics, Zhejiang University, Hangzhou, China

[2] Young Researchers Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran

[3] Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

来源：

Multidiscipline Modeling in Materials and Structures | 2017年 / 13卷 / 02期

关键词：

Energy balance - Equations of motion - Numerical methods - Oscillators (mechanical);

D O I：

10.1108/MMMS-08-2016-0034

中图分类号：

学科分类号：

摘要：

Purpose - The purpose of this paper is to present an analytical approximate solution of the nonlinear mathematical model of the bifilar pendulum. Design/methodology/approach - First, the equation of motion derived based on the classical dynamics law by only an angular oscillation assumption and vertical oscillation is neglected. The energy balance method is applied to solve an established model and an analytical formulation has been obtained for the nonlinear frequency of the bifilar pendulum. Findings - A comparison of results with those obtained by a numerical solution of the exact model (without any simplifications) shows the precise accuracy even for a large amplitude of oscillation. Originality/value - The proposed model and solution are relatively simple and can be applied instead to a linear model for achieving accurate results. © Emerald Publishing Limited.

引用

页码：297 / 307