Combined parametrical transverse and in-plane harmonic response of an inclined stretched string

被引:7
作者
Caswita [1 ]
Van Der Burgh, AHP [1 ]
机构
[1] Delft Univ Technol, Fac Informat Technol & Syst, Dept Appl Math Anal, NL-2628 CD Delft, Netherlands
关键词
D O I
10.1016/S0022-460X(03)00252-9
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, a two-point boundary value problem for an integrodifferential equation is studied. This equation describes the dynamics of an inclined stretched string suspended between a fixed support and a vibrating support. Due to the inclination, the string will vibrate under combined parametrical and transversal excitation. The attention will be focused on time-periodic solutions consisting of one mode (semi-trivial solution) generated by transverse (external) excitation and two modes (non-trivial solution) generated by combined parametrical and transverse excitation. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:913 / 931
页数:19
相关论文
共 14 条
[1]  
[Anonymous], 1979, INTRO PERTURBATION T
[2]  
[Anonymous], 2001, J BRIDGE ENG
[3]   Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations [J].
Belhaq, M ;
Houssni, M .
NONLINEAR DYNAMICS, 1999, 18 (01) :1-24
[4]  
CASWITA AHP, 2001, P DETC01 VIB 21437 A, P1
[5]   Exact resonances of nonlinear vibration of rotor-bearings system without small parameter [J].
He, JH .
MECHANICS RESEARCH COMMUNICATIONS, 2000, 27 (04) :451-456
[6]   VIBRATION AMPLITUDES CAUSED BY PARAMETRIC-EXCITATION OF CABLE-STAYED STRUCTURES [J].
LILIEN, JL ;
DACOSTA, AP .
JOURNAL OF SOUND AND VIBRATION, 1994, 174 (01) :69-90
[7]  
MELDE F, 1860, POGGENDORFS ANN PHYS, V3, P193
[8]   Super and combinatorial harmonic response of flexible elastic cables with small sag [J].
Nielsen, SRK ;
Kirkegaard, PH .
JOURNAL OF SOUND AND VIBRATION, 2002, 251 (01) :79-102
[9]   MODAL INTERACTIONS IN THE NONLINEAR RESPONSE OF ELASTIC CABLES UNDER PARAMETRIC EXTERNAL EXCITATION [J].
PERKINS, NC .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1992, 27 (02) :233-250
[10]  
VANDERBURGH AHP, 1997, P ICDE 96, P3