Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (11): 1025-1037.

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FREE VIBRATION OF NONLINEAR DEFORMATION RING-AND STRINGER-STIFFENED NONUNIFORM CYLINDRICAL SHELL

Yeh Kai-yuan1, Ji Zhen-yi2   

  1. 1. Lanzhou University, Lanzhou;
    2. Anhui Architectural Engineering Institute, Hefei
  • Online:1988-11-18 Published:1988-11-18
  • Supported by:

    Project Supported by the Science and Technic Fund of the National Education Committee

Abstract: Cylindrical shells stiffened with rings and stringers are used in many structural application with as pipes conveying fluids or gases and aerospace.In this paper, the eral solulin 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 nonlinearl gebraic 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 he obtained by step reduction method.

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