Optimum Shapes of Axisymmetric Bodies Penetrating into Soil
V. L. Kotov, E. Yu. Linnik, A. A. Tarasova
Research Institute of Mechanics, Nizhny Novgorod, 603950 Russia
Keywords: грунт, тело вращения, оптимизация, минимальное сопротивление внедрению, максимальная глубина проникания, модель локального взаимодействия, метод локальных вариаций, абсолютно оптимальное тело, soil, body or revolution, optimization, minimum penetration resistance, maximum penetration depth, local interaction model, method of local variations, absolutely optimum body
Abstract
This paper presents the results of a study of the shapes of axisymmetric bodies with minimum penetration resistance and maximum depth of penetration into the plastic soils. Optimum shapes of bodies of revolution of predetermined length and cross-sectional radius with generatrices represented by line segments are obtained by a modified method of local variations. The problem is solved using a binomial quadratic model of local interaction, including inertial and strength terms containing constant and Coulomb frictions. The resistance forces and the depth of penetration of cones and the obtained bodies of optimal shape are determined at different penetration velocities.
DOI: 10.1134/S0021894416050084
|
