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Author:

Hamed, Y. S. (Hamed, Y. S..) | Sayed, M. (Sayed, M..) | Cao, D. -X. (Cao, D. -X..) (Scholars:曹东兴) | Zhang, W. (Zhang, W..)

Indexed by:

EI Scopus SCIE CSCD

Abstract:

In this paper, the nonlinear dynamic behavior of a string-beam coupled system subjected to external, parametric and tuned excitations is presented. The governing equations of motion are obtained for the nonlinear transverse vibrations of the string-beam coupled system which are described by a set of ordinary differential equations with two degrees of freedom. The case of 1:1 internal resonance between the modes of the beam and string, and the primary and combined resonance for the beam is considered. The method of multiple scales is utilized to analyze the nonlinear responses of the string-beam coupled system and obtain approximate solutions up to and including the second-order approximations. All resonance cases are extracted and investigated. Stability of the system is studied using frequency response equations and the phase-plane method. Numerical solutions are carried out and the results are presented graphically and discussed. The effects of the different parameters on both response and stability of the system are investigated. The reported results are compared to the available published work.

Keyword:

Multiple scales Chaotic response Stability 1:1 internal resonance String-beam

Author Community:

  • [ 1 ] [Hamed, Y. S.]Fac Elect Engn, Dept Engn Math, Menoufia 32952, Egypt
  • [ 2 ] [Sayed, M.]Fac Elect Engn, Dept Engn Math, Menoufia 32952, Egypt
  • [ 3 ] [Hamed, Y. S.]Taif Univ, Fac Sci, Dept Math & Stat, At Taif 21974, El Haweiah, Saudi Arabia
  • [ 4 ] [Sayed, M.]Taif Univ, Fac Sci, Dept Math & Stat, At Taif 21974, El Haweiah, Saudi Arabia
  • [ 5 ] [Cao, D. -X.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 6 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

Reprint Author's Address:

  • [Hamed, Y. S.]Fac Elect Engn, Dept Engn Math, Menoufia 32952, Egypt

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Source :

ACTA MECHANICA SINICA

ISSN: 0567-7718

Year: 2011

Issue: 6

Volume: 27

Page: 1034-1051

3 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 22

SCOPUS Cited Count: 24

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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