The numerical solution of a task on an advance of waves of tension in a resilient body with gaps in boundary conditions.

Subject Applied Mathematics
Title The numerical solution of a task on an advance of waves of tension in a resilient body with gaps in boundary conditions.
Author(s) N.K.Ashirbayev, Zh.N.Ashirbayeva and K.B.Seitzhanova
Keywords isotropic environment, dynamic load, plane deformation, special point, tension, speed, wave progress, numerical solution, algorithm.
Abstract

In the given work was considered the plane, elastic and isotropic environment with rectangular cross section of ultimate sizes. At the first time on some part of an exterior border of rectangular part puts the exterior dynamic P – figurative load, but the rest parts of this border are free from tension. On the rest borders of rectangular oblast are set border conditions. In conditions of plane deformation the task is solved by numerical method, also by method of spatial descriptions. The peculiarity of considered body is that in special points of exterior border of rectangular oblast, border conditions tolerate break of the first type. Exactly, in these special points were accepted the allowing systems of equations for finding of unknown quantity functions. By numerical realization was set up the steadiness of settlement algorithm for enough time. The results of the research in definitive type were related to numerical decision. Undoubted interest represent tasks with breaks in border conditions, as information about dynamic tension at break is necessary for practical goals, for instance, design of building objects.