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General Analytical Solution of Transverse Vibration For Orthotropic Rectangular Thin Plates 被引量：17

General Analytical Solution of Transverse Vibration For Orthotropic Rectangular Thin Plates
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摘要 A general solution of differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is established in this paper. It can be used to solve the vibration problem of plate with arbitrary boundaries. As an example, the frequencies of a composite laminated plate with four free edges have been solved. The result as compared with the experiment is satisfactory. A general solution of differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is established in this paper. It can be used to solve the vibration problem of plate with arbitrary boundaries. As an example, the frequencies of a composite laminated plate with four free edges have been solved. The result as compared with the experiment is satisfactory.
作者 HUANG Yan,ZHANG Xiao-jinCollege of Astronautical Engineering, National University of Defense Technology, Changsha, 410073 , China
出处 《哈尔滨工程大学学报（英文版）》 2002年第2期78-82,共5页 Journal of Marine Science and Application
基金 the National Natural Science Foundation of China(19872072)
关键词 ORTHOTROPIC PLATE VIBRATION FREQUENCY orthotropic plate vibration frequency
分类号 U441.3 [建筑科学—桥梁与隧道工程]
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参考文献10

  • 1Huang Yan.A general analytical solution for elastic vibration of rectangular thin plates[J].Applied Mathematics and Mechanics.1988(11)
  • 2JONES R M.Mechanics of Composite Materials[]..1975
  • 3DICKINSON S M,BLASIN A D.On use of orthogonal polynomials in the Rayleigh-Rittz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates[].Journal of Sound and Vibration.1986
  • 4AL-KHAIAT H.Free vibration analysis of orthotropic plates by the initial value method[].Computers and Structures.1989
  • 5JAYARAMAN G,CHEN D,SNYDER V W.Free vibration of rectangular orthotropic plates with a pair of parallel edges simply supported[].Computers and Structures.1990
  • 6GORMAN D J.Free vibration analysis of the completely free rectangular plate by the method of superposition[].Journal of Sound and Vibration.1978
  • 7SAKATA T,TAKAHASHI K,BHAT R B.Natural frequencies of orthotropic rectangular plates obtained by iterative reduction of the partial differential equation[].Journal of Sound and Vibration.1996
  • 8GOMAN D J.Accurate free vibration analysis of completely free orthotropic rectangular plate by the method of superposition[].Journal of Sound and Vibration.1993
  • 9DANA YOUNG.Vibration of rectangular plates by the Ritz method[].Journal of Applied Mechanics.1950
  • 10GOMAN D J.Accurate free vibration analysis of completely free orthotropic plate by method of superposition[].Journal of Sound and Vibration.1990

同被引文献106

引证文献17

二级引证文献49

哈尔滨工程大学学报（英文版）
2002年 第2期

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