Mathematical modeling of contact interaction of stamp rigging elements
Keywords:
mathematical model, the system of prismatic bodies, stamp rigging elements, contact interaction, the method of variational inequalitiesAbstract
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.
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