Semi-analytical method for the free vibration characteristics analysis of cylindrical shells

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (22) : 21-28.

LI Haichao,PANG Fuzhen,TIAN Hongye,LIU Jiangtao

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Abstract

Based on the Reissner-Naghdi’s linear thin shell theory and regional energy decomposition method, a cylindrical shell was decomposed into several shell segments along the circumferential direction. The Chebyshev determinant and Fourier series were used to express the displacement function of the shell segment. The least squares residuals were introduced to eliminate the instability of the calculation, and boundary condition parameters were established to simulate different boundary conditions. The vibration modal of the cylindrical shell was obtained by virtue of the variational principle. On this basis, the convergence of the weighted least squares parameters was analyzed, and a large number of finite element simulation calculations verified the effectiveness of the proposed method.Finally, the free vibration characteristics of cylindrical shells under general boundary conditions were analyzed. The research results provide data accumulation and method basis for the free vibration analysis of cylindrical shells under general boundary conditions.

Key words

Cylindrical shell / Semi analytic method / Free vibration / General boundary conditions

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LI Haichao,PANG Fuzhen,TIAN Hongye,LIU Jiangtao. Semi-analytical method for the free vibration characteristics analysis of cylindrical shells[J]. Journal of Vibration and Shock, 2019, 38(22): 21-28

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