Numerical calculation of the optimum shape of a body of revolution at its penetration into soil media

An efficient method for finding the optimum shape of a body penetrating into soil media has been developed. The method is based on an approximation of the required generator of a body of revolution with minimum penetration resistance by a parametric Bezier polynomial. The numerical calculations have been carried out in the formulation of continuum mechanics, taking into account shock compressibility and soil shear strength within Grigoryan's model of a soil medium. The range of the optimum shapes with a permissible (for practical application) error of 5 % has been obtained.