Vibration analysis of nonlinear systems modelled by a mass attached to a stretched elastic wire

被引：2

作者：

Pirbodaghi, Tohid ^{[1
]}

Hoseini, Seyed Hamed ^{[2
]}

Akbari, Samin ^{[1
]}

机构：

[1] MIT, Dept Mech Engn, 77 Massachusetts Ave, Cambridge, MA 02139 USA

[2] Urmia Univ Technol, Dept Mech Engn, Orumiyeh, Iran

来源：

EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS | 2016年 / 25卷 / 04期

关键词：

Nonlinear vibration; analytical solution; elastic wire; homotopy analysis method; homotopy Pade technique;

D O I：

10.1080/17797179.2016.1207584

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Herein, an accurate approximate analytical solution for oscillation of nonlinear systems modelled by a mass attached to a stretched elastic wire is derived using the homotopy analysis method and homotopy Pade technique. Approximate analytical expressions for the frequency and displacement with respect to time are obtained. Comparison between the presented results and numerical solutions shows that the first-order approximation of homotopy Pade technique leads to accurate results.

引用

页码：329 / 338

页数：10

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