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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

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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 W operator. Influence functions for various cases deduced here may also be used to solve problems of static buckling or stability for beams and plates in relevant circumstances.

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Authors and Affiliations

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

    Zhang Yingshi

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  1. Zhang Yingshi
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Communicated by Chen Yushu

CLC number: 0326

Document code: A

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Yingshi, Z. Vibrations of stepped one-way thin rectangular plates subjected to in-plane tensile/compressive force in y-direction on Winkler' s foundation. Appl Math Mech 21, 783–790 (2000). https://doi.org/10.1007/BF02428376

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  • DOI: https://doi.org/10.1007/BF02428376

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