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Free vibration of nonlinear deformation ring-and stringer-stiffened nonuniform cylindrical shell

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Abstract

Cylindrical shells stiffened with rings and stringers are used in many structural applications such as pipes conveying fluids or gases and acrospace. In this paper, the general solution is obtained for free vibration of nonlinear deformation ring-and stringer-stiffened cylindrical shell with arbitrary boundary condition by step reduction method[1]. Finally, it is only necessary to solve a nonlinear algebraic equation. This equation is expressed as an analytic form. Its convergence is proved. Three numerical examples are given at the end of the paper which indicate that satisfactory results can be obtained by step reduction method.

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Authors and Affiliations

  1. Lanzhou University, Lanzhou

    Yeh Kai-yuan

  2. Anhui Architectural Engineering Institute, Hefei

    Ji Zhen-yi

Authors
  1. Yeh Kai-yuan
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  2. Ji Zhen-yi
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Project Supported by the Science and Technic Fund of the National Education Committee.

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Kai-yuan, Y., Zhen-yi, J. Free vibration of nonlinear deformation ring-and stringer-stiffened nonuniform cylindrical shell. Appl Math Mech 9, 1025–1037 (1988). https://doi.org/10.1007/BF02454506

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