Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 783-790.

• 论文 • 上一篇    下一篇

VIBRATIONS OF STEPPED ONE-WAY THIN RECTANGULAR PLATES SUBJECTED TO IN-PLANE TENSILE/ COMPRESSIVE FORCE IN Y-DIRECTION ON WINKLER’S FOUNDATION

张英世   

  1. Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
  • 收稿日期:1998-10-20 修回日期:2000-03-25 出版日期:2000-07-18 发布日期:2000-07-18
  • 基金资助:
    Aeronautics Science Foundation

VIBRATIONS OF STEPPED ONE-WAY THIN RECTANGULAR PLATES SUBJECTED TO IN-PLANE TENSILE/ COMPRESSIVE FORCE IN Y-DIRECTION ON WINKLER’S FOUNDATION

Zhang Yingshi   

  1. Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
  • Received:1998-10-20 Revised:2000-03-25 Online:2000-07-18 Published:2000-07-18
  • Supported by:
    Aeronautics Science Foundation

摘要: 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.

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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