Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (5): 399-410.

• 论文 •    下一篇

ON THE STRESS CONCENTRATION IN THICK CYLINDRICAL SHELLS WITH AN ARBITRARY CUTOUT

胡超, 刘殿魁, 马兴端, 王本利   

  1. Harbin Institute of Technology, Harbin 150001, P. R. China
  • 收稿日期:1996-12-05 修回日期:1997-12-20 出版日期:1998-05-18 发布日期:1998-05-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

ON THE STRESS CONCENTRATION IN THICK CYLINDRICAL SHELLS WITH AN ARBITRARY CUTOUT

Hu Chao, Liu Diankui, Ma Xingrui, Wang Benli   

  1. Harbin Institute of Technology, Harbin 150001, P. R. China
  • Received:1996-12-05 Revised:1997-12-20 Online:1998-05-18 Published:1998-05-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

摘要: In this paper, based on the theory of thick shells including effects of transverseshear deformations, a complex variables analytic me method to solve stress concentrationsin circular cylindrical shells with a small cutout is established. A general solution andexpression satisfying the boundary conditions on the edge of arbitrary’ cutouts areobtained. The stress problem can be reduced ic the solution of an infinte algebraicequation series, and can be normalized by means of this method. Numerical results forstress concentration factors of the shell with a small circular and elliptic elliptic arepresented.

关键词: thick cylindrical shell, cutout, stress concentration, complexvariable method and conformal mapping

Abstract: In this paper, based on the theory of thick shells including effects of transverseshear deformations, a complex variables analytic me method to solve stress concentrationsin circular cylindrical shells with a small cutout is established. A general solution andexpression satisfying the boundary conditions on the edge of arbitrary’ cutouts areobtained. The stress problem can be reduced ic the solution of an infinte algebraicequation series, and can be normalized by means of this method. Numerical results forstress concentration factors of the shell with a small circular and elliptic elliptic arepresented.

Key words: thick cylindrical shell, cutout, stress concentration, complexvariable method and conformal mapping

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