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作者:

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

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摘要:

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.

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作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

MATHEMATICAL PROBLEMS IN ENGINEERING

ISSN: 1024-123X

年份: 2010

卷: 2010

ESI学科: ENGINEERING;

JCR分区:3

中科院分区:4

被引次数:

WoS核心集被引频次: 6

SCOPUS被引频次: 12

ESI高被引论文在榜: 0 展开所有

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