On an Approach to Conjugation of Numerical and Analytical Solutions on an example of Torsion Problem
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2011, Vol 64, Issue 1
Abstract
The approach to conjugation of the numerical and analytical solutions of elasticity theory problems is proposed. In several parts of considered region the solution of a problem is constructed by analytical methods, and in the others - by numerical ones. Satisfying the contact conditions on adjacent borders of parts, we come to the system of resolving equations of a problem. As an example the solution of a problem of torsion of the compound rectangular region is given. The rectangle consists from two rectangles with different elastic characteristics, connected on the common edges. The analytical solution of this problem is known. Numerical and numerically-analytical solutions are constructed. Results of solutions well conforms to the exact analytical solution.
Authors and Affiliations
Albert Khachikyan, Avetik Sahakyan, Vardan Sargsyan
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