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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 209-216.

• 论文 • 上一篇    下一篇

ANALYSIS AND CALCULATION OF THE NONLINEAR STABILITY OF THE ROTATIONAL COMPOSITE SHELL

黄劲松1, 曾广武2   

  1. 1. College of Hydroelectric Engineering, Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072, P R. China;
    2. College of Communications Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
  • 收稿日期:1998-06-17 修回日期:1999-01-17 出版日期:2000-02-18 发布日期:2000-02-18

ANALYSIS AND CALCULATION OF THE NONLINEAR STABILITY OF THE ROTATIONAL COMPOSITE SHELL

Huang Jinsong1, Zeng Guangwu2   

  1. 1. College of Hydroelectric Engineering, Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072, P R. China;
    2. College of Communications Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
  • Received:1998-06-17 Revised:1999-01-17 Online:2000-02-18 Published:2000-02-18

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摘要： By adopting the energy method, a new method to calculate the stability of the composite shell of revolution is presented. This method takes the influence of nonlinear prebuckling deformations and stresses on the buckling of the shell into account. The relationships between the prebuckling deformations and strains are calculated by nonlinear Kármán equations. The numerical method is used to calculate the energy of the total system. The nonlinear equations are solved by combining gradient method and amendatory Newton iterative method. The computer program is also developed. An example is given to demonstrate the accuracy of the method presented.

关键词: composite material, rotational shell, stability, nonlinear

Abstract: By adopting the energy method, a new method to calculate the stability of the composite shell of revolution is presented. This method takes the influence of nonlinear prebuckling deformations and stresses on the buckling of the shell into account. The relationships between the prebuckling deformations and strains are calculated by nonlinear Kármán equations. The numerical method is used to calculate the energy of the total system. The nonlinear equations are solved by combining gradient method and amendatory Newton iterative method. The computer program is also developed. An example is given to demonstrate the accuracy of the method presented.

Key words: composite material, rotational shell, stability, nonlinear

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