Numerical analysis of added mass and damping of elastic hydrofoils
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Available online at https://link.springer.com/journal/42241 http://www.jhydrodynamics.com Journal of Hydrodynamics, 2020, 32(5): 1009-1023 https://doi.org/10.1007/s42241-020-0066-5
Numerical analysis of added mass and damping of elastic hydrofoils * Jia-sheng Li1, 2, 3, Ye-gao Qu3, Hong-xing Hua3 1. School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China 2. Hubei Provincial Engineering Research Center of Data Techniques and Supporting Software for Ships (DTSSS), Wuhan 430074, China 3. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China (Received March 22, 2017, Revised August 31, 2020, Accepted September 1, 2020, Published online October 29, 2020) ©China Ship Scientific Research Center 2020 Abstract: A numerical model is proposed for analyzing the effects of added mass and damping on the dynamic behaviors of hydrofoils. Strongly coupled fluid-structure interactions (FSIs) of hydrofoils are analyzed by using the 3-D panel method for the fluid and the finite element method for the hydrofoils. The added mass and damping matrices due to the external fluid of the hydrofoil are asymmetric and computational inefficient. The computational inefficiencies associated with these asymmetric matrices are overcome by using a modal reduction technique, in which the first several wet mode vectors of the hydrofoil are employed in the analysis of the FSI problem. The discretized system of equations of motion for the hydrofoil are solved using the Wilson - method. The present methods are validated by comparing the computed results with those obtained from the finite element analysis. It is found that the stationary flow is sufficient for determining the wet modes of the hydrofoil under the condition of single-phase potential flow and without phase change. In the case of relatively large inflow velocity, the added damping of the fluid can significantly affect the structural responses of the hydrofoil. Key words: Fluid-structure interaction (FSI), hydroelastic response, hydrofoil, added mass, added damping
Introduction A deep insight into the physical mechanism of fluid-structure interaction (FSI) is of great importance for the design of many hydropower structures, such as marine propellers and hydrofoils. In most cases, the strongly coupled FSI problem must be taken into account in the analysis and design of these structures. A key issue related to FSI analyses of underwater structures is to take into account the influences of the added mass and damping of the fluid, which are expected to have significant effects on the natural frequencies, mode shapes and structural responses of underwater structures. In addition, potential instability limits related to the resonances and flutter of underwater structures are also dependent upon the * Project supported by the National Natural Science Foundation of China (Grant Nos. 52001130, 11922208 and 51839005). Biography: Jia-sheng Li (1987-), Male, Ph. D., Assistant Profes
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