Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (8): 727-749.

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THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES(Ⅰ)-RECTANGULAR PLATES WITH FOUR CLAMPED EDGES AND WITH THREE CLAMPED EDGES

Fu Hao-lian1, Li Nong2   

  1. 1. Yanshan University, Qinhuangdao;
    2. Luoyang Technology Institute, Luoyang
  • Received:1987-09-08 Online:1989-08-18 Published:1989-08-18

Abstract: In this paper the method of the reciprocal theorem (MRT) is extended to solve the steady state responses of rectangular plater under harmonic disturbing forces. A series of the closed solutions of rectangular plates with various boundary conditions are given and the tables and figures which have practical value are provided.MRT is a simple, convenient and general method for solving the steady stale responses of rectangular plates under various harmonic disturbing forces.The paper contains three parts: (I) rectangular plates with four damped edges and with three clamped edges; (II) rectangular plates with two adjacent clamped edges; (III) cantilever plates.We arc going to publish them one after another.

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