The problem of optimization of rigid bodies moving in the deformable media is considered. The shape of the axisymmetric impactors has been taken as an unknown design variable. The total resistance force, the mass of material and the volume are taken as components of the minimized vector-functional. Formulated multiobjective minimization problem for vector-functional is investigated analytically. As an example the Pareto-optimal set of optimal shape and Pareto-front are found for the rigid thin-walled axisymmetric shells having minimal total resistence force and the mass of the shell material.
Multiobjective Shape Optimization of the Rigid Shell Moving into a Condensed Media
RAGNEDDA, FRANCESCO;SERRA, MAURO
2012-01-01
Abstract
The problem of optimization of rigid bodies moving in the deformable media is considered. The shape of the axisymmetric impactors has been taken as an unknown design variable. The total resistance force, the mass of material and the volume are taken as components of the minimized vector-functional. Formulated multiobjective minimization problem for vector-functional is investigated analytically. As an example the Pareto-optimal set of optimal shape and Pareto-front are found for the rigid thin-walled axisymmetric shells having minimal total resistence force and the mass of the shell material.
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