Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (11): 1091-1096.

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THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS

Li Nong1, Fu Bao-lian2   

  1. 1. Luoyang Institute of Technology, Luoyang;
    2. Yanshan University, Qinhuangdao
  • Received:1989-08-31 Online:1991-11-18 Published:1991-11-18

Abstract: This paper treats the symmetrical bending of a uniformly loaded circular plate supported at k internal points. The boundary displacement and slope are expanded in Fourier seriesr. The method proposed by [6] is applied. As both the governing differential equation and boundary conditions are satisfied exactly, we therefore obtain the analytic expression of the transverse deflectionul equation of the circular plate. This is an easy and effective methed.

Key words: internal point support, symmetrical bending, deflectional equation

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