Coupled heave and pitch motions of planing hulls at non-zero heel angle |
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| Institution: | 1. Department of Marine Technology, Amirkabir University of Technology, Tehran, Iran;2. Faculty of Engineering, Persian Gulf University, Bushehr, Iran;1. School of Petroleum Engineering, China University of Petroleum (East China), Qingdao, 266580, China;2. Institute of Ship Technology and Ocean Engineering, University of Duisburg-Essen, Duisburg, 47057, Germany;1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China;2. Deepwater Engineering Research Center, Dalian University of Technology, Dalian, 116024, China;3. Centre for Ships and Ocean Structures, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway;1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China;2. Department of Mechanical Engineering, University College London, London WC1E 7JE, UK;3. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, PR China |
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| Abstract: | Current paper presents a mathematical model based on 2D-asymmetric wedge water entry to model heave and pitch motions of planing hulls at non-zero heel angles. Vertical and horizontal forces as well as heeling moment due to asymmetric water entry are computed using momentum theory in conjunction with added mass of impact velocity in vertical and horizontal directions. The proposed model is able to compute sway and yaw forces, roll moment, as well as heave and pitch motions in calm water and regular waves. Validity of the proposed model is verified by comparing the results against existing experimental data in both symmetric and asymmetric conditions. Ultimately, different parametric studies are conducted to examine the effects of non-zero heel angle on dynamic vertical motions. The resulting sway and yaw forces due to asymmetric motion are also derived and effects of heel angle on these side forces are investigated. |
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| Keywords: | Asymmetric planing Vertical motion Head sea Asymmetric water entry Non-zero heel angle |
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