Fluid–structure interaction modelling of nonlinear aeroelastic structures using the finite element corotational theory |
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| Institution: | 1. Department of Mechanical Engineering, IDMEC-Instituto Superior Técnico, Av. Rovisco Pais, 1049 - 001 Lisbon, Portugal;2. Mechanical Engineering Department, University of Victoria, P.O. Box 3055, Victoria, B.C., Canada;1. Department of Naval Architecture and Marine Engineering, Istanbul Technical University, Istanbul, Turkey;2. Department of Naval Architecture and Ocean Engineering, Inha University, Republic of Korea;1. Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China;3. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, No. 800, Dongchuan Road, Shanghai 200240, China;4. College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China;5. Department of Aeronautics, Imperial College London, London SW7 2AZ, UK;6. Cullen College of Engineering, University of Houston, Houston, TX 77204, USA |
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| Abstract: | The application of the finite element corotational theory to model geometric nonlinear structures within a fluid–structure interaction procedure is proposed. A dynamic corotational approximately-energy-conserving algorithm is used to solve the nonlinear structural response and it is shown that this algorithm's application with a four-node flat finite element is more stable than the nonlinear implicit Newmark method. This structural dynamic algorithm is coupled with the unsteady vortex-ring method using a staggered technique. These procedures were used to obtain aeroelastic results of a nonlinear plate-type wing subjected to low speed airflow. It is shown that stable and accurate numerical solutions are obtained using the proposed fluid–structure interaction algorithm. Furthermore, it is illustrated that geometric nonlinearities lead to limit cycle oscillations. |
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