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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...
Energy management through topology optimization of composites microstructure using projected gradient method
, Article Structural and Multidisciplinary Optimization ; Volume 52, Issue 6 , December , 2015 , Pages 1121-1133 ; 1615147X (ISSN) ; Tavakoli, R ; Bagheri, R ; Sharif University of Technology
Springer Verlag
2015
Abstract
In this paper the projected gradient method is applied as an effective gradient-based topology optimization algorithm in order to direct energy propagation through the desired region of composites microstructure. Rayleigh Damping model is also used in order to take the effect of internal damping mechanisms into account and thus, to fill in the gap between the designed layouts and those in reality. The success of the proposed algorithm is illustrated through several numerical experiments by revealing a set of various designed optimal layouts besides their corresponding energy distributions