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General analytical solution of transverse vibration for orthotropic rectangular thin plates

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Abstract

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.

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Authors and Affiliations

  1. College of Astronautical Engineering, National University of Defense Technology, 410073, Changsha, China

    Huang Yan & Zhang Xiao-jin

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  1. Huang Yan
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  2. Zhang Xiao-jin
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Supported by the National Natural Science Foundation of China(19872072)

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Huang, Y., Zhang, Xj. General analytical solution of transverse vibration for orthotropic rectangular thin plates. JMSA 1, 78–82 (2002). https://doi.org/10.1007/BF02935845

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  • DOI: https://doi.org/10.1007/BF02935845

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