CASPIAN JOURNAL

MANAGEMENT AND HIGH TECHNOLOGIES

Mathematical modeling of the behavior of plates under load

Read Duyshenaliev Turatbek B., Iskender Kozubay  Mathematical modeling of the behavior of plates under load // Caspian journal : management and high technologies. — 2015. — №2. — pp. 129-136.

Duyshenaliev Turatbek B. - D.Sc. (Physical and Mathematical), Professor, Rector, Kyrgyz State Technical University named after I. Razzakov, 66 Mira Ave., Bishkek, 720044, Kyrgyz Republic, rector@kstu.kg; duishenaliev@mail.ru

Iskender Kozubay  - Lecturer, Kyrgyz State Technical University named after I. Razzakov, 66 Mira Ave., Bishkek, 720044, Kyrgyz Republic, iskan-7@mail.ru

Research the laws of deformation of structural materials (metals and alloys) under complex loading are essential both in terms of the fundamental principles of the theory of elasticity, and in terms of practical applications related to the strength calculations of structures and devices of new equipment exposed to loads. These tasks are still not fully understood. Analytical solutions for such problems are possible only for certain (and quite simple) design schemes. Therefore, numerical simulation is an important part of research at the stage of formulation and study of deformation models of continuous media, and at the stage of analysis and calculations on the strength of concrete structural elements and structural materials. In this paper, these issues are discussed in theoretical terms, and by carrying out the necessary calculations in MATLAB. The calculation results are presented in graphic form.

Key words: тензор Коши, тензор вращения, перемещение, деформированное состояние, кручение, изгиб, растяжение, сжатие, примеры расчетов, MATLAB, Cauchy tensor, the tensor of rotation, displacement, deformation, twisting, bending, stretching, compression, calculation