Energy Management through Topology Optimization of Microstructure of Tow Phase Functionally Graded Materials (FGMs) under Dynamic Loading, M.Sc. Thesis Sharif University of Technology ; Bagheri, Reza (Supervisor) ; Tavakoli, Rouhollah (Co-Advisor)
Abstract
A numerical algorithm is proposed to design microstructure of a two-phase functionally graded material under dynamic loading. In order to direct energy propagation through the desired regions in the domain, we introduced a regularized Heaviside function, H(x), in our objective functional, namely the time-averaged sum of the elastic strain energy and the kinetic energy. Real-life systems are however, not undamped, but possess some kind of energy dissipation mechanism or damping. In order to apply modal analysis of undamped systems to damped systems, we use Rayleigh damping model in our formulations. To generate a well-posed topology optimization, we used homogenization via a solid isotropic...
Cataloging briefEnergy Management through Topology Optimization of Microstructure of Tow Phase Functionally Graded Materials (FGMs) under Dynamic Loading, M.Sc. Thesis Sharif University of Technology ; Bagheri, Reza (Supervisor) ; Tavakoli, Rouhollah (Co-Advisor)
Abstract
A numerical algorithm is proposed to design microstructure of a two-phase functionally graded material under dynamic loading. In order to direct energy propagation through the desired regions in the domain, we introduced a regularized Heaviside function, H(x), in our objective functional, namely the time-averaged sum of the elastic strain energy and the kinetic energy. Real-life systems are however, not undamped, but possess some kind of energy dissipation mechanism or damping. In order to apply modal analysis of undamped systems to damped systems, we use Rayleigh damping model in our formulations. To generate a well-posed topology optimization, we used homogenization via a solid isotropic...
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