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 Bao-lian; Li Nong

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(8): 693-714

Fu Bao-lian, Li Nong. 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[J]. Applied Mathematics and Mechanics, 1989, 10(8): 693-714.

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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 Bao-lian¹,
Li Nong²

1.
Yanshan University, Qinhuangdao;
2.
Luoyang Technology Institute, Luoyang

Received Date: 1989-09-08
Publish Date: 1989-08-15

Abstract

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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References(16)

References

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