Solving Vibration Problem of Thin Plates Using Integral Equation Method

Xu Mingtian; Cheng Delin

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Xu Mingtian, Cheng Delin. Solving Vibration Problem of Thin Plates Using Integral Equation Method[J]. Applied Mathematics and Mechanics, 1996, 17(7): 655-660.

Citation:

Xu Mingtian, Cheng Delin. Solving Vibration Problem of Thin Plates Using Integral Equation Method[J]. Applied Mathematics and Mechanics, 1996, 17(7): 655-660.

Citation:

Xu Mingtian, Cheng Delin. Solving Vibration Problem of Thin Plates Using Integral Equation Method[J]. Applied Mathematics and Mechanics, 1996, 17(7): 655-660.

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Solving Vibration Problem of Thin Plates Using Integral Equation Method

Department of Mathematics and Physics, Shandong University of Technology, Jinan 250014, P. R. China

Received Date: 1994-11-15
Rev Recd Date: 1996-03-25
Publish Date: 1996-07-15

Abstract

Abstract

This paper deals with reducing differential equations of vibration problem of plates with concentrated masses, elastic supports and elastically mounted masses into eigenvalue problem of integral equations. By applying the general function theory and the integral equation theory. the frequency equation is derived in terms of standard eigenvalue problem of a matrix with infinite order. So that, the natural frequencies and mode shapes can be determined. Convergence of this method has also been, discussed at the end of this paper.
- integral equation,
- thin plate,
- vibration

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References(11)

References

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