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Author:

Hao, Y. X. (Hao, Y. X..) | Zhang, W. (Zhang, W..) | Ji, X. L. (Ji, X. L..)

Indexed by:

EI Scopus SCIE

Abstract:

The nonlinear dynamic response of functionally graded rectangular plates under combined transverse and in-plane excitations is investigated under the conditions of 1 : 1, 1 : 2 and 1 : 3 internal resonance. The material properties are assumed to be temperature-dependent and vary along the thickness direction. The thermal effect due to one-dimensional temperature gradient is included in the analysis. The governing equations of motion for FGM rectangular plates are derived by using Reddy's third-order plate theory and Hamilton's principle. Galerkin's approach is utilized to reduce the governing differential equations to a two-degree-of-freedom nonlinear system including quadratic and cubic nonlinear terms, which are then solved numerically by using 4th-order Runge-Kutta algorithm. The effects of in-plane excitations on the internal resonance relationship and nonlinear dynamic response of FGM plates are studied.

Keyword:

Author Community:

  • [ 1 ] [Ji, X. L.]Beijing Inst Technol, Natl Key Lab Mechatron Engn & Control, Beijing 100081, Peoples R China
  • [ 2 ] [Hao, Y. X.]Beijing Informat Sci & Technol Univ, Coll Mech Engn, Beijing 100192, Peoples R China
  • [ 3 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100142, Peoples R China

Reprint Author's Address:

  • [Ji, X. L.]Beijing Inst Technol, Natl Key Lab Mechatron Engn & Control, Beijing 100081, Peoples R China

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Source :

MATHEMATICAL PROBLEMS IN ENGINEERING

ISSN: 1024-123X

Year: 2010

Volume: 2010

ESI Discipline: ENGINEERING;

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 12

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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