Higher-order approximate solutions for nonlinear vibration of a constant-tension string

被引：6

作者：

Lai, S. K. ^{[1
]}

Xiang, Y. ^{[1
]}

Lim, C. W. ^{[2
]}

He, X. F. ^{[3
]}

Zeng, Q. C. ^{[4
]}

机构：

[1] Univ Western Sydney, Sch Engn, Penrith, NSW 1797, Australia

[2] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China

[3] Dongfang Elect Autocontrol Engn Co Ltd, Deyang 618201, Sichuan, Peoples R China

[4] Johnton Sci & Technol Grp Hong Kong Ltd, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2008年 / 317卷 / 3-5期

关键词：

D O I：

10.1016/j.jsv.2008.05.003

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A new harmonic balance approach for solving the large amplitude nonlinear vibration of a constant-tension string is introduced. The coupling of Newton's method with harmonic balancing takes the advantage of reducing the deficiency and complexity of the classical harmonic balance method in dealing with the nonlinear systems. The solutions are directly induced from a set of linear algebraic equations instead of it set of complicated, coupled nonlinear algebraic equations. Illustrative examples are selected and compared to some published data to verify the accuracy of the higher-order solutions. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：440 / 448

页数：9