The hydrostatic stiffness of flexible floating structures for linear hydroelasticity |
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| Affiliation: | 1. Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou, China;2. CAS Key Laboratory of Renewable Energy, Guangzhou, China;3. Guangdong Provincial Key Laboratory of New and Renewable Energy Research and Development, Guangzhou, China;4. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, China;5. CNOOC Research Institute Co., Ltd., Beijing, China;6. Dynamic Systems Analysis Ltd., Victoria, BC, Canada;1. School of Naval Architecture and Marine Engineering, National Technical University of Athens, Iroon Polytechniou St. 9, Zografou Campus, 15773 Athens, Greece;2. Department of Mechanics, School of Applied Mathematical and Physical Science, National Technical University of Athens, Iroon Polytechniou St. 9, Zografou Campus, 15773 Athens, Greece;1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;2. China Ship Scientific Research Center, Wuxi 214082, PR China |
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| Abstract: | The formulation of the hydrostatic stiffness for linear rigid body hydrodynamics is well known. An explicit formulation for an analogous hydrostatic stiffness in linear hydroelasticity, which is applicable to both rigid body and flexible displacement, is not as well-known. Three such formulations have been proposed previously in the literature, none of which is quite correct; all produce an unsymmetric stiffness matrix. An explicit formulation for the complete hydrostatic stiffness for flexible floating structures at rest in calm water is derived based on a consistent linearization of the external hydrostatic pressure and the internal structural stresses. The symmetry of the present formulation for a floating structure is proven analytically, and the unsymmetry of the hydrostatic stiffness for individual finite elements is discussed. The formulation will be of most interest to those who wish to extend linear potential theory hydrodynamic codes for rigid body analysis to deformable bodies. Several issues that are significant for practical implementation are discussed and several examples are presented. |
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