BASIC CALCULATIONS OF DYNAMIC INTERACTION OF MECHANICAL SYSTEMS OF MODULAR SHELTERS ARE IMPLEMENTED IN THE LS-DYNA PROGRAM

The article presents a basic mathematical model of the explicit method for calculating dy-namic systems of deformed bodies in the mathematical calculation of modular shelters. The subject of research is the solution of the problem of sample deformation in the formulation of the motion of a deformed body as a dynamic system for studying the stability of modular shelters. The purpose of the work is to use basic mathematical models of theexplicit method of calculating dynamic systems to determine finite element approximations of the basic equations of these mechanical systems to ensure safe operating conditions for modular shelters. To achieve this goal, the following research tasks have been set: solving the problem of sample deformation in the formulation of the motion of a deformed body as a dynamic system; use of finite element approximation of the basic equations of the mathematical model; use of an explicit method of calculating the dynamics equations; develop-ment of a calculation scheme for the contact interaction of two deformed bodies when they touch; application of the method of mathematical modeling of crack propagation in a material. The scien-tific novelty of the study lies in the creation of a calculation basis for assessing the preservation of protective functions by the enclosing structures of modular shelters under the influence of explo-sions and impulse actions. After carrying out the calculations, the main results were obtained, which allow using mathematical modeling to investigate the physical and mechanical processes oc-curring in the structures of modular shelters, which will later become the scientific basis for im-proving the existing and creating a new regulatory framework for the arrangement of modular shel-ters.Keywords:Modular Shelter, Deformed Bodies, Mathematical Modeling, Finite Elements, Dynamics Equations.