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Complex dynamics of functionally graded plates with thermal load in 1:2 internal resonance

Complex dynamics of functionally graded plates with thermal load in 1:2 internal resonance
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摘要 Complex dynamics of the simply-supported functionally graded(FG)rectangular plates with thermal load is investigated.Based on Reddy's third-order shear deformation theory and the von Karman nonlinear strain-displacement relations,ordinary differential equations(ODEs)of the plate's transversal oscillation are derived by using Hamilton's principle and Galerkin's approach.Solutions'classification of the equations in 1:2 internal resonance is analyzed.Particular results of a simplysupported aluminum-alumina rectangular FG plate are given.Effects of temperature and volume fraction on the responses' stabilities are discussed. Complex dynamics of the simply-supported functionally graded(FG)rectangular plates with thermal load is investigated.Based on Reddy’s third-order shear deformation theory and the von Karman nonlinear strain-displacement relations,ordinary differential equations(ODEs)of the plate’s transversal oscillation are derived by using Hamilton’s principle and Galerkin’s approach.Solutions’classification of the equations in 1:2 internal resonance is analyzed.Particular results of a simplysupported aluminum-alumina rectangular FG plate are given.Effects of temperature and volume fraction on the responses’ stabilities are discussed.
作者 DING Ran 1 &WU ZhiQiang 1,2 1 Department of Mechanics,Tianjin University,Tianjin 300072,China 2 State Key Laboratory of Engines,Tianjing 310002,China
出处 《Science China(Technological Sciences)》 SCIE EI CAS 2010年第3期713-719,共7页 中国科学（技术科学英文版）
基金 supported by the National Natural Science Foundation of China(Grant Nos.10872142,10632040) New Century Educational Talents Plan of Education Ministry of China(under contract No.NCET-05-0247) Key Project of Tianjin(Grant No.09JCZDJ26800)
关键词 functionally GRADED materials thermal LOAD 1 INTERNAL RESONANCE solutions’ classification MODAL INTERACTIONS functionally graded materials thermal load 1 internal resonance solutions’ classification modal interactions
分类号 O322 [理学—一般力学与力学基础]
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参考文献7

  • 1夏贤坤,沈惠申.功能梯度材料剪切板热屈曲后的非线性振动[J].振动工程学报,2008,21(2):120-125. 被引量：11
  • 2Hao Y X,Zhang W.Nonlinear oscillations,bifurcations and chaos offunctionally graded material plate. Journal of Sound and Vibration . 2008
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二级参考文献11

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Science China(Technological Sciences)
2010年 第3期

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