Abstract
A family of unified variational principles (VP) and generalized VP in aeroelasticity for the coupled ‘fluid-wing’ vibration system in 3-D transonic flow with shocks is developed in a systematic way via functional variations with variable domain. A novel method for incorporating initial-value conditions in, while removing final-value conditions from the VP is also suggested, eliminating the inherent defect of VP of being unable to properly handle initial-value problems. Thus, a new complete theoretical basis for the aeroelastic analysis of wing vibration (esp. flutter) and response by the finite element method is provided.
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Liu, GL. (2003). A Unified Variational Formulation of Aero-Elasticity Problem for Coupled ‘Fluid-Wing’ Vibration System in 3-D Unsteady Transonic Flow. In: Sobieczky, H. (eds) IUTAM Symposium Transsonicum IV. Fluid Mechanics and its Applications, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0017-8_14
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DOI: https://doi.org/10.1007/978-94-010-0017-8_14
Publisher Name: Springer, Dordrecht
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