The free vibration analysis of submerged cantilever plates

Based on empirical added mass formulation, this work presents a simple proc edure to determine the vibration frequencies and mode shapes of submerged c antilever plates. Once the added mass formulation is derived, the procedure can be used to analyze free vibration response easily. An analytical and n umerical study is also performed for the vibrations of cantilever plates in air and in water, with these results compared with experimental and numeri cal data from pertinent literature. Besides, the frequency parameters of th e submerged plate for various aspect ratios and thickness ratios are given in design data sheet form and are appropriate for engineering design applic ations. (C) 2001 Elsevier Science Ltd. All rights reserved.