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A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions

Author

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  • Xue-Qin Li
  • Wei Zhang
  • Xiao-Dong Yang
  • Lu-Kai Song

Abstract

A unified approach of free vibration analysis for stiffened cylindrical shell with general boundary conditions is presented in this paper. The vibration of stiffened cylindrical shell is modeled mathematically involving the first-order shear deformation shell theory. The improved Fourier series is selected as the admissible displacement function while the arbitrary boundary conditions are simulated by adjusting the equivalent spring stiffness. The natural frequencies and modal shapes of the stiffened shell are obtained by solving the dynamic model with the Rayleigh-Ritz procedure. Various numerical results of free vibration analysis for stiffened cylindrical shell are obtained, including natural frequencies and modes under simply supported, free, and clamped boundary conditions. Moreover, the effects of stiffener on natural frequencies are discussed. Compared with several state-of-the-art methods, the feasibility and validity of the proposed method are verified.

Suggested Citation

  • Xue-Qin Li & Wei Zhang & Xiao-Dong Yang & Lu-Kai Song, 2019. "A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, July.
    • Handle: RePEc:hin:jnlmpe:4157930
    DOI: 10.1155/2019/4157930
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    Cited by:

    1. Yuhua Zhou & Yanhu Zhang & Brighton Nyasha Chirukam & Jianwei Li & Congshan Lu & Masoud Babaei & Kamran Asemi, 2023. "Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel," Mathematics, MDPI, vol. 11(17), pages 1-18, August.

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