The free vibration analysis of submerged cantilever plates |
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| Authors: | Cho-Chung Liang Ching-Chao Liao Yuh-Shiou Tai Wen-Hao Lai |
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| Institution: | a Department of Mechanical Engineering, Da-Yeh University, 112 Shan-Jeau Road, Dah-Tsuen, Chang-Hwa 515, Taiwan, ROC;b Graduate Institute of Mechatronic Engineering, Huafan University, Shihtin, Taipei Hsien 223, Taiwan, ROC;c Institute of System Engineering, Chung Cheng Institute of Technology, Ta-Shi, Taoyuan 335, Taiwan, ROC |
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| Abstract: | Based on empirical added mass formulation, this work presents a simple procedure to determine the vibration frequencies and mode shapes of submerged cantilever plates. Once the added mass formulation is derived, the procedure can be used to analyze free vibration response easily. An analytical and numerical study is also performed for the vibrations of cantilever plates in air and in water, with these results compared with experimental and numerical data from pertinent literature. Besides, the frequency parameters of the submerged plate for various aspect ratios and thickness ratios are given in design data sheet form and are appropriate for engineering design applications. |
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| Keywords: | Submerged cantilever plate Fluid– structure interaction Added mass |
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