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An inverse finite element method for the analysis of VIV data
Institution:1. MARINTEK, Otto Nielsens vei 10, N-7045 Trondheim, Norway;2. Dep. Civil Engineering, U. Stellenbosch, PB X1, Matieland, South Africa;1. DNV GL SE, Hamburg, Germany;2. University of Duisburg-Essen, Germany;3. National Technical University of Athens, Greece;4. Hamburger Schiffbau-Versuchsanstalt, Hamburg, Germany;5. Nanyang Technological University, Singapore;1. State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, 150001, China;2. Department of Mechanical Engineering, City University of Hong Kong, Kowloon, Hong Kong, China;3. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong, China;4. Department of Computer Science, University of Hong Kong, Pokfulam Road, Hong Kong, China
Abstract:This paper presents an algorithm for the frequency domain solution of dynamic linear “inverse” problems, that is for the processing of measurement data (strain, acceleration etc.) acquired on a mechanical structure, in order to estimate the loads acting on the structure and its corresponding response. The problem is formulated as a constrained (force equilibrium) optimization (small deviations from measurements, small loads) problem, which is transformed into an unconstrained problem, then into differential equations. The algorithm is applied to the estimation of hydrodynamic forces induced by the shedding of vortices from an offshore oil riser.
Keywords:Load estimation  Response estimation  Dynamic  Finite element method  Inverse problem  65K10  62F15  65N21  65N30
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