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Научен доклад ID 1051 : 2014/3
МАТЕМАТИЧЕСКО МОДЕЛИРАНЕ НА ОТСЛАБЕНА ПЛАСТИНА В РЕЗУЛТАТ НА КРЪГЪЛ ОТВОР ПРИ УСЛОВИЕ НА ЧИСТО ОГЪВАНЕ
Драган Петрович, Милан Бижич Задачата на тази статия е математическо моделиране на отслабена плоча от кръгъл отвор в състояние на чисто огъване. Математическият модел се формира с помощта на метод комплексна променлива, и дава възможност за пълно аналитично определяне на напреженията във всяка точка на пластината, и особено около отвора, когато е налице добре известния проблем на концентрация на напреженията. Представената методика може да се прилага за изчисление на всяка пластина отслабена от кръгъл отвор подложена на чисто огъване. Представената в статията методология се прилага за решаването на един конкретен пример. Сравнителният анализ показва висока точност на получените аналитични резултати по представената методология с резултатите, получени от FEM изчисление със софтуерен пакет ANSYS 12. Прилагането на резултатите от този документ е от голямо значение за качеството на проектиране и оптимизиране на тънкостенни конструкции от тип пластина отслабени от кръгъл отвор, които са много чести в инженерната практика.
Моделиране прастина кръгъл отвор чисто огъванаModelling Plate Circular Hole Pure BendingДраган Петрович Милан Бижич BIBLIOGRAPHY [1] Timoshenko S., Gudier J. N., 1951, Theory of elasticity, McGraw-Hill Book Co., New York. [2] Timoshenko S., Woinowsky-Kreiger S., 1959, Theory of plates and shells, McGraw-Hill Book Co., New York. [3] Raskovic D., 1981, Teorija elasticnosti, Naucna knjiga, Beograd. [4] Troyani N., Gomes C., Sterlacci G., 2002, Theoretical stress concentration factors for short rectangular plates with centred circular holes, Journal of Mechanical Design, vol. 124, iss. 1, 126–128. [5] Zheng Yang, Chang-Boo Kim, Chongdu Cho, Hyeon Gyu Beom, 2007, The concentration of stress and strain in finite thickness elastic plate containing a circular hole, International Journal of Solids and Structures, Volume 45, Issues 3-4, 713-731. 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