NUMERICAL COMPUTATION OF THE FORM OF A BODY OF REVOLUTION WITH THE MINIMAL RESISTANCE TO MOTION IN A SOIL MEDIUM IN THE FRAME OF THE LOCAL INTERACTION MODEL

Abstract

An algorithm and a method are presented for numerically analyzing the problem of form optimization of an axisymmetric striker with minimal total resistance to the indentation in a soil in the frame of the well-known local variation method. The generatrix of the body of revolution is given by a piecewise-linear curve; the pressure on the body surface is determined following the trinomial quadratic model of local interaction. The convergence of successive approximations when numerically analyzing the optimal form of the body and the error in determining the resistance force as a function of the number of nodes of the generatrix are investigated.

Keywords: soil medium, optimization of the form, body of revolution, minimal total resistance, local interaction model, local variation method.