Proper

Abstract

Abstract This study contributes to evaluate topology optimization design of plate structures in elastic medium by using classic plate theory. Topology optimal method is produced as an alternative to provide reasonable material assignments based on stress distributions. The mathematical formulation of topology optimization problem solving minimum structural compliance is an alternating active-phase algorithm with the Gauss-Seidel version as an optimization model of optimality criteria. Stiffness and adjoint sensitivity formulations linked to potential strain energy are derived in terms of density variables and Winkler-Pasternak parameters considering elastic foundation to apply to the current topology optimization. Several numerical examples verify efficiency and diversity of the present topology optimization method of elastic thin plates depending on Winkler-Pasternak parameters with the same amount of volume fraction and total structural volume.