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Study on applicability of modal analysis of thin finite length cylindrical shells using wave propagation approach |
LI Bing-ru, WANG Xuan-yin, GE Hui-liang, DING Yuan-ming |
State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; State Key Laboratory of Oceanic Acoustics, Hangzhou Applied Acoustics Research Institute, Hangzhou 310012, China |
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Abstract Donnell’s thin shell theory and basic equations based on the wave propagation method discussed in detail here, is used to investigate the natural frequencies of thin finite length circular cylindrical shells under various boundary conditions. Mode shapes are drawn to explain the circumferential mode number n and axial mode number m, and the natural frequencies are calculated numerically and compared with those of FEM (finite element method) to confirm the reliability of the analytical solution. The effects of relevant parameters on natural frequencies are discussed thoroughly. It is shown that for long thin shells the method is simple, accurate and effective.
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Received: 24 November 2004
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