Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (1): 95-102.

• 论文 • 上一篇    下一篇

AXISYMMETRIC BENDING FOR THICK LAMINATED CIRCULAR PLATE UNDER A CONCENTRATED LOAD

盛宏玉, 范家让   

  1. Department of Architectural Engineering, Hefei University of Technology, Hefei 230009, P R China
  • 收稿日期:1998-06-02 修回日期:1999-08-16 出版日期:2000-01-18 发布日期:2000-01-18

AXISYMMETRIC BENDING FOR THICK LAMINATED CIRCULAR PLATE UNDER A CONCENTRATED LOAD

Sheng Hongyu, Fan Jiarang   

  1. Department of Architectural Engineering, Hefei University of Technology, Hefei 230009, P R China
  • Received:1998-06-02 Revised:1999-08-16 Online:2000-01-18 Published:2000-01-18

摘要: Based upon the fundamental equations of three dimensional elasticity, the state equation for axisymmetric bending of laminated transversely isotropic circular plate is established and the concentrated force on plate surface is expanded into Fourier_Bessel’s series, therefore, an analytical solution for the problem is presented. Every fundamental equation of three dimensional elasticity can be exactly satisfied by the solution and all the independent elastic constants can be taken into account fully, furthermore, the continuity conditions between plies can also be satisfied.

关键词: laminated circular plate, state equation, concentrated load, axisymmetric bending

Abstract: Based upon the fundamental equations of three dimensional elasticity, the state equation for axisymmetric bending of laminated transversely isotropic circular plate is established and the concentrated force on plate surface is expanded into Fourier_Bessel’s series, therefore, an analytical solution for the problem is presented. Every fundamental equation of three dimensional elasticity can be exactly satisfied by the solution and all the independent elastic constants can be taken into account fully, furthermore, the continuity conditions between plies can also be satisfied.

Key words: laminated circular plate, state equation, concentrated load, axisymmetric bending

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