Influence of boundary conditions on 2D wave propagation in a rectangle

Abstract

Work is devoted to generalization of a differential method of spatial characteristics to case of the flat task about distribution of waves in rectangular area of the final sizes with gaps in boundary conditions. On the basis of the developed numerical technique are received the settlement certainly differential ratios of dynamic tasks in special points of front border of rectangular area, where boundary conditions on coordinate aren’t continuous. They suffer a rupture of the first sort in points in which action P figurative dynamic loading begins. Results of research are brought to the numerical decision. AMS Subject Classification: isotropic environment, dynamic load, plane deformation, special point, tension, speed, wave progress, numerical solution, algorithm