Nonstationary response of floating structures to random waves |
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| Affiliation: | 1. School of Civil Engineering, Hunan University of Technology, Zhuzhou, Hunan, 412007, China;2. Key Laboratory of Safety Control of Bridge Engineering, Ministry of Education (Changsha University of Science and Technology), Changsha, Hunan, 410114, China;3. China Institute of Water Resources and Hydropower Research, Beijing, 100038, China;1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;1. College of Automotive Engineering, Hunan Industry Polytechnic, 410000, China;2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China;1. China Communication Construction Corporation Third Harbor Engineering Corporation Limited, Shanghai, 200032, China;2. Key Laboratory of Performance Evolution and Control for Engineering Structures (Ministry of Education), Tongji University, Shanghai, 200092, China;1. School of Civil Engineering, Sun Yat-Sen University, Guangzhou, China;2. Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai, China;3. Architectural Design and Research Institute, South China University of Technology, Guangzhou, China;4. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China |
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| Abstract: | Even if ocean waves are treated as a stationary random process, dynamic responses of floating structures to random waves at the transient state are always nonstationary. When nonstationary response statistics is desired, a common technique is to apply Monte Carlo simulations; however, its implementation is costly in computational time. Analytically, this article develops an efficient method for computing nonstationary response statistics, including evolutionary power spectrum and time-varying mean-square values. Assuming a hydrodynamic software has been employed to get various frequency response functions, a prerequisite of the proposed method is to get the elevation-to-motion transfer function formulated in its pole-residue form. The proposed method is applicable to arbitrary wave spectrum and has been based on pole-residue operations implemented in the Laplace domain to obtain closed-form solutions for the response evolutionary power spectrum. Numerical examples choose a single-degree-of-freedom Spar model and a six-degree-of-freedom Floating Production Storage and Offloading model to a Pierson–Moskowitz wave spectrum, and the correctness of the computed mean-square values is verified by Monte Carlo simulations. |
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| Keywords: | Nonstationary response Random wave Floating structure Pole Residue Laplace domain |
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