Application of extended state space to nonlinear ship rolling |
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| Institution: | 1. Mechanical Engineering Department, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands;2. ASML, De Run 6501, 5504 DR Veldhoven, The Netherlands;1. Department of Engineering Sciences, Swedish Centre for Renewable Electric Energy Conversion, Division of Electricity, Uppsala University, Box 534, SE-75121 Uppsala, Sweden;2. Seabased AB, Sylveniusgatan 5D, SE-754 50 Uppsala, Sweden;1. Department of Biomedical Engineering and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA;2. Department of Physics and Center for Soft Matter and Biological Physics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA;1. State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Haidian District, Beijing 100084, China;2. School of Mechanical Engineering, University of Birmingham, Birmingham B15 2TT, UK |
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| Abstract: | It is well known in the field of marine hydrodynamics that the added mass, damping and wave exciting forces are functions of frequency (Newman, 1977. Marine Hydrodynamics. MIT Press, Cambridge). Although most previous studies of nonlinear ship rolling motion have assumed that these forces do not vary with frequency, in this study the frequency dependent added mass and damping coefficients are approximated in the time domain with extended state space variables. Using numerical time simulation (integration), the extended state space model is compared to the constant coefficient model with a constant frequency forcing and the results for two constant value approximations of the added mass and damping are compared to the extended state space model with a multiple component pseudo random forcing. |
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