Конференции ИВТ СО РАН

MIT-2009
Международная конференция "Математические и информационные технологии"
(VIII конференция "Вычислительные и информационные технологии в науке, технике и образовании")

Копаоник, Сербия, 27 - 31 августа 2009 года;
Будва, Черногория, 31 августа - 5 сентября 2009 года

Тезисы докладов

Mathematical models and application of numerical methods in solving a phenomenon of the theory of thin plates

Dolicanin C., Nikolić V., Radojković M.

Državni Univerzitet u Novom Pazaru (Novi Pazar)

The term thin plate implied a elastic body with cylindrical or prismatic shape of small thicknes in relation to other two dimensions. The basic dependences between geometrical and physical properties come to mostly to setting up of relations between stress and strain conditions, which has been described by differential equations, simple and partial. Methods used for solving of established equations, with respect of outline and initial conditions, may be classified in analytical and numerical. In case of complex and big construction systems subjected to the arbitrary loads, including a complex boundary condition s, solving of differential equations by analytical methods is almost impossible. Then the solution is application of numerical methods. One of the basic numerical methods is Finite Difference Method (FDM) based on replacing of differential equations with corresponding difference equations. Using of this method, the problem come to solving of system of paired algebraic equations, making the problem more easier for solving. In this paper, besides FDM, is also used Finite Element Method (FEM) for consideration of this phenomenon in flat isotropic field, respectively at thin plates with different boundary conditions and loadings. In the end, more comments and farther directions of investigations are given. Key words: numerical methods, flat stress state, plate, stresses distribution of stress, strains.

Примечание. Тезисы докладов публикуются в авторской редакции

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