The course consists of two broad divisions, namely: Vibrations Theory and Aeroelasticity. The Vibrations Theory element of the course is focused on the derivations of the equations of motion, natural frequencies, mode shapes and responses of multiple degrees-of-freedom (MDOF) discrete and continuous systems under free and forced vibrations conditions. The modal analysis technique is used to transform the equations of motion from physical space to modal space in order to facilitate the process for computing the responses of MDOF discrete systems. The Aeroelasticity element examines the effects of fluid flow on vibrating structures and considers vortex shedding, static aeroelasticity (divergence) and dynamic aeroelasticity (flutter).
The aims of the course are the impartation of understanding and problem-solving skills in a range of vibration and aeroelastic problems. The vibration problems include discrete and continuous systems, which are solved using matrix algebra and partial differential equations, respectively. The aeroelastic problems deal with phenomena involving structural instabilities such as divergence and flutter, in gas, wind and steam turbine blades, aircraft wings, buildings, bridges and surface vehicles due to the interaction of aerodynamic, elastic and inertia forces.
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