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The vibration and stability analysis of moderate thick plates by the method of lines

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Abstract

The method of lines based on Hu Hai-chang's theory for the vibration and stability of moderate thick plates is developed. The standard nonlinear ordinary differential equation (ODE) system for natural frequencies and critical load is given by use of ODE techniques, and then any indicated eigenvalue could be obtained directly from ODE solver by employing the so-called initial eigenfunction technique instead of the mode orthogonality condition. Numerical examples show that the present method is very effective and reliable.

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Authors and Affiliations

  1. Tongji University, Shanghai

    Tang Shou-gao

  2. Qinghua University, Beijing

    Yuan Si

Authors
  1. Tang Shou-gao
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  2. Yuan Si
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Communicated by Xu Ci-da

The project supported by the Pioneer Fuundation of Tongji University.

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Shou-gao, T., Si, Y. The vibration and stability analysis of moderate thick plates by the method of lines. Appl Math Mech 13, 523–531 (1992). https://doi.org/10.1007/BF02451515

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  • DOI: https://doi.org/10.1007/BF02451515

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