Mathematical modeling of contact interaction of stamp rigging elements

• Дата: 2014
• Автор: Демина, Н. А.
• Формат: Стаття
• Мова: Russian
• Опубліковано: Journal of Mechanical Engineering 2014
• Теми: mathematical model; the system of prismatic bodies; stamp rigging elements; contact interaction; the method of variational inequalities; УДК 539.3; математическая модель; система призматических тел; элементы штамповой оснастки; контактное взаимодействие; метод вариационных неравенств; математична модель; система призматичних тіл; контактна взаємодія; метод варіаційних нерівностей
• Онлайн доступ: https://journals.uran.ua/jme/article/view/31409
• Назва журналу: Journal of Mechanical Engineering

There is the problem of developing effective formulation for tasks of the multiple contact  of  system multiple prismatic bodies. For Example, such problems arise in the analysis of stress-strain state (SSS) of stamp rigging elements. At the same time for the simulation of contact interaction  apply different simplified formulation, providing, in particular, separate modeling SSS contacting bodies. This can lead to significant errors in the analysis results. This raises the urgent task of developing a mathematical model of contact interaction system of prismatic bodies, adapted for efficient numerical realization, free from various simplifying assumptions. The article describes the mathematical formulation of the problem about interaction contact  system prismatic bodies. Using the theory of variational inequalities the problem is reduced to the problem of minimizing a convex functional on a convex set of functions.