Vibrations of Stepped One-Way Thin Rectangular Plates Subjected to in-Plane Tensile/Compressive Force in y-Direction on Winkler’s Foundation

Zhang Yingshi

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(7): 708-714

Zhang Yingshi. Vibrations of Stepped One-Way Thin Rectangular Plates Subjected to in-Plane Tensile/Compressive Force in y-Direction on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 2000, 21(7): 708-714.

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Vibrations of Stepped One-Way Thin Rectangular Plates Subjected to in-Plane Tensile/Compressive Force in y-Direction on Winkler’s Foundation

Zhang Yingshi

Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China

Received Date: 1998-10-20
Rev Recd Date: 2000-03-25
Publish Date: 2000-07-15

Abstract

Abstract

Differential equations of free/forced vibrations of n-step one-way thin rectangular plates subjected to in-plane tensile/compressive force in y-direction on Winkler's foundation are established by using singular functions,their general solutions solved for,expression of vibration mode function and frequency equation on usual supports derived with Woperator.Influence functions for various cases deduced here may also be used to resolve problems of static buckling or stability for beams and plates in relevant circumstances.
- rectangular plate,
- free vibration,
- forced vibration,
- response,
- Winkler’s foundation,
- subjected to in-plane tensile/compressive force,
- stepped

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References(6)

References

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