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Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (6): 523-531.

• 论文 • 上一篇    下一篇

THE VIBRATION AND STABILITY ANALYSIS OF MODERATE THICK PLATES BY THE METHOD OF LINES

唐寿高1, 袁驷2   

  1. 1. Tongji University, Shanghai;
    2. Qinghua University, Beijing
  • 收稿日期:1991-04-01 出版日期:1992-06-18 发布日期:1992-06-18
  • 基金资助:
    The project supported by the Pioneer Fundation of Tongji University

THE VIBRATION AND STABILITY ANALYSIS OF MODERATE THICK PLATES BY THE METHOD OF LINES

Tang Shou-gao1, Yuan Si2   

  1. 1. Tongji University, Shanghai;
    2. Qinghua University, Beijing
  • Received:1991-04-01 Online:1992-06-18 Published:1992-06-18
  • Supported by:
    The project supported by the Pioneer Fundation of Tongji University

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摘要： 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.

关键词: moderate thick plate, vibration, stability, method of lines

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.

Key words: moderate thick plate, vibration, stability, method of lines

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