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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (11): 1079-1093.

• 论文 • 上一篇    下一篇

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (II)

黄家寅, 秦圣立, 夏云杰, 许晓平, 孔祥和   

  1. Qufu Normal Universtity, Qufu Shangdong 273165, P. R. China
  • 收稿日期:1994-02-01 出版日期:1995-11-18 发布日期:1995-11-18

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (II)

Huang Jiayin, Qin Shengli, Xia Yunjie, Xu Xiaoping, Kong Xianghe   

  1. Qufu Normal Universtity, Qufu Shangdong 273165, P. R. China
  • Received:1994-02-01 Online:1995-11-18 Published:1995-11-18

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摘要： In this Paper we study the recursive equations under the recursive boundary conditions for Wnm,nm, vnm and ψnm(n=0.1.2...N:m=1.2...M. which derivedby the two-variable method [3] in the preceding paper[1]. We then solve these problems by using the method of regular perturbation[2]. and the uniformly valid asymptotic solution is obtained. Lastly we consider a particular example i. e the bending problems of the axisymmetrical circular plate by using the mixed perurbation method and compare our results with the exact solution found in Ret[5]. They are similarly coincided.

关键词: orthotropic circular plate, whole coreperturbation

Abstract: In this Paper we study the recursive equations under the recursive boundary conditions for Wnm,nm, vnm and ψnm(n=0.1.2...N:m=1.2...M. which derivedby the two-variable method [3] in the preceding paper[1]. We then solve these problems by using the method of regular perturbation[2]. and the uniformly valid asymptotic solution is obtained. Lastly we consider a particular example i. e the bending problems of the axisymmetrical circular plate by using the mixed perurbation method and compare our results with the exact solution found in Ret[5]. They are similarly coincided.

Key words: orthotropic circular plate, whole coreperturbation

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