Transverse Vibration of Rectangular Plates Elastically Supported at Points on Edges

Zhou Ding

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Zhou Ding. Transverse Vibration of Rectangular Plates Elastically Supported at Points on Edges[J]. Applied Mathematics and Mechanics, 1989, 10(10): 929-938.

Citation:

Zhou Ding. Transverse Vibration of Rectangular Plates Elastically Supported at Points on Edges[J]. Applied Mathematics and Mechanics, 1989, 10(10): 929-938.

Citation:

Zhou Ding. Transverse Vibration of Rectangular Plates Elastically Supported at Points on Edges[J]. Applied Mathematics and Mechanics, 1989, 10(10): 929-938.

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Transverse Vibration of Rectangular Plates Elastically Supported at Points on Edges

Zhou Ding

East China Institute of Technology, Nanjing

Received Date: 1988-08-04
Publish Date: 1989-10-15

Abstract

Abstract

This paper studies transverse vibration of rectangular plates with two opposite edges simply supperted other two edges arbitrarily supported and free edges elaslically supported at points,A highly accurate solution is presented for calculating inherent frequencies and mode shape of rectangular platen elaslically supported at points.The number and location of these points on free edges may be completely arbitrary.This paper uses impulse function to represent reaction and moment at points.Fourter series is used to expand the impulse function along the edges.Characteristic equations satisfying all boundary conditions are given.Inherent frequencies and mode shape with any accutacy can be gained.

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References(9)

References

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