Vibrations and stability of a periodically supported rectangular plate immersed in axial flow |
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| Institution: | 1. McGill University, Montreal, Canada;2. École Polythecnique de Montréal, Canada;1. Institute of Mechanics, National Academy of Sciences, Yerevan, Armenia;2. Department of Aerospace and Mechanical Engineering, Politecnico di Torino, Turin, Italy;3. Aerospace and Aviation Program, RMIT University, Bundoora 3083, VIC, Australia;1. School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, China;2. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;1. Department of Naval Architecture and Ocean Engineering, Pusan National University, 63 beon-gil 2, Busandaehak-ro, Geumjeong-gu, Busan 609-735, Republic of Korea;2. Samsung Heavy Industries Co. Ltd., Marine Research Institute, Geoje, Gyeongsangnam-do, Republic of Korea;3. University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, Croatia;4. Createch Co. Ltd., Busan, Republic of Korea |
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| Abstract: | Vibrations and stability of a thin rectangular plate, infinitely long and wide, periodically supported in both directions (so that it is composed by an infinite number of supported rectangular plates with slope continuity at the edges) and immersed in axial liquid flow on its upper side is studied theoretically. The flow is bounded by a rigid wall and the model is based on potential flow theory. The Galerkin method is applied to determine the expression of the flow perturbation potential. Then the Rayleigh–Ritz method is used to discretize the system. The stability of the coupled system is analyzed by solving the eigenvalue problem as a function of the flow velocity; divergence instability is detected. The convergence analysis is presented to determine the accuracy of the computed eigenfrequencies and stability limits. Finally, the effects of the plate aspect ratio and of the channel height ratio on the critical velocity giving divergence instability and vibration frequencies are investigated. |
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| Keywords: | Fluid–structure interaction Plate Static instability |
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