Vibrations of One-Way Rectangular Stepped Thin Plates on Winkler’s Foundation

Zhang Yingshi; Wang Xieshan

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Zhang Yingshi, Wang Xieshan. Vibrations of One-Way Rectangular Stepped Thin Plates on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 1998, 19(2): 156-164.

Citation:

Zhang Yingshi, Wang Xieshan. Vibrations of One-Way Rectangular Stepped Thin Plates on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 1998, 19(2): 156-164.

Citation:

Zhang Yingshi, Wang Xieshan. Vibrations of One-Way Rectangular Stepped Thin Plates on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 1998, 19(2): 156-164.

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Vibrations of One-Way Rectangular Stepped Thin Plates on Winkler’s Foundation

1.
Division 508. Department of Flight Vehicle Design and Applied Mechanics, Peking University ofAeronautics and Astronauties, Beijing 100083, P. R. China;
2.
North China Electric Power University, Beijing 102206, P. R. China

Received Date: 1995-11-03
Rev Recd Date: 1997-08-11
Publish Date: 1998-02-15

Abstract

Abstract

Differential equations of free forced vibrations of one-way rectangular stepped thin plated on Winkler's foundation are established by using singular functions,their general solutions are solved:exprssion of vibration mode function and frequency equations on usual supports are derived from Woperator:forced responses of such plates under different-type loads are discussed with generalized functions.
- Winkler’s foundation,
- one-way rcctangular stepped thin plate,
- free vibration,
- forced response

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References(3)

References

[1]	曹志远,《板壳振动理论》,中国铁道出版社,北京(1989).13-36.(in Chinese).
[2]	王燮山,《奇异函数及其在力学中的应用》,科学出版社,北京(1993).3-75.230-233.(in Chinese).
[3]	S.Timoshenko.et al.Vibration Problems in Engineering.4th.Ed.U.S.A.John Wiley& Sons Inc.(1974).363-433.