Development of semi-analytical method of finite elements as applied to the problems of statics and dynamics of the solids of revolution under non-axisymmetric loading

摘要

A new approach is proposed to the analysis of three-dimensional static and dynamic problems for non-homogeneous solids of revolution on the basis of development of semi- analytical finite element method (SFEM). In the limit of SFEM concept a single system is developed for numerical simulation of three-dimensional static and dynamic problems: elasto-plastic deformation solids of revolution, thermoelasticity and thermoplasticity which are non-homogeneus in circumferential direction taking into account temperature dependence of materials properties, solids interaction with unknown beforehand contact regions, periodic, free and forced vibrations of heterogeneous solids of revolution, and also synamic processes under impact loading.