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

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Abstract

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 simply-supported aluminum-alumina rectangular FG plate are given. Effects of temperature and volume fraction on the responses’ stabilities are discussed.

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, China

    Ran Ding & ZhiQiang Wu

  2. State Key Laboratory of Engines, Tianjing, 310002, China

    ZhiQiang Wu

Authors
  1. Ran Ding
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  2. ZhiQiang Wu
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Correspondence to ZhiQiang Wu.

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Ding, R., Wu, Z. Complex dynamics of functionally graded plates with thermal load in 1:2 internal resonance. Sci. China Technol. Sci. 53, 713–719 (2010). https://doi.org/10.1007/s11431-010-0076-6

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  • DOI: https://doi.org/10.1007/s11431-010-0076-6

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