ON A SHAPE OF AXISYMMETRIC RIGID SHELL MOVING IN DEFORMABLE MEDIUM AND HAVING MINIMAL MASS AND RESISTANCE FORCE

Abstract

A shape of a rigid shell of revolution of minimal mass and resistance force is considered as a multicriterion (multiobjective) optimization problem. The total resistance force and the mass of the shell material are taken as components of the minimized vectorial criterion. The shape of the axisymmetric shell is considered as a desired design variable. Analytical investigations of the optimal solution are performed by variational analysis. The exact solution of the multiobjective optimization problem is found. Particularly Pareto-front and optimized functionals are presented as functions of the problem parameters.

Keywords: multiobjective optimization, penetration in deformable medium, striker shape.