Validity and accuracy of solutions for nonlinear vibration analyses of suspended cables with one-to-one internal resonance

被引：14

作者：

Abe, Akira ^{[1
]}

机构：

[1] Asahikawa Natl Coll Technol, Dept Informat Syst Engn, Asahikawa, Hokkaido 0718142, Japan

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

关键词：

Nonlinear vibration; Suspended cable; Internal resonance; Quadratic and cubic nonlinearities; Method of multiple scales; Galerkin's procedure; Shooting method; SPATIALLY CONTINUOUS SYSTEMS; DISTRIBUTED-PARAMETER SYSTEMS; RECTANGULAR LAMINATED PLATES; REDUCED-ORDER MODELS; CUBIC NONLINEARITIES; SHALLOW SHELLS; PART I; DISCRETIZATION; VALIDATION; DYNAMICS;

D O I：

10.1016/j.nonrwa.2009.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study investigates the accuracy of nonlinear vibration analyses of a suspended cable, which possesses quadratic and cubic nonlinearities, with one-to-one internal resonance. To this end, we derive approximate solutions for primary resonance using two different approaches. In the first approach, the method of multiple scales is directly applied to governing equations, which are nonlinear partial differential equations. In the second approach, we first discretize the governing equations by using Galerkin's procedure and then apply the shooting method. The accuracy of the results obtained by these approaches is confirmed by comparing them with results obtained by the finite difference method. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2594 / 2602

页数：9

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