MODELING OF IMPULSE EXCITATION OF A LAYER WEAKENED BY A THROUGH HOLE (SKEW-SYMMETRIC CASE)

The paper considers a new mathematical model for solving a dynamic (shock) skew-symmetric boundary value problem for a layer weakened by a through hole with sliding sealing of its ends. A new method based on the system of three singular integral equations was developed and tested numerically. A7nbsp;highly accurate numerical study demonstrated that the relative circumferential stress increases with an increase in the impulse length. Short impulses result in a wave-like fading process — in the е-neighborhood of the origin, due to the inertia of the system, a zone of negative stresses appears, which, interacting with a positive impulse, give rise to this process. A similar situation is observed when the impulse is removed. The corresponding graphs are shown. Keywords: three-dimensional dynamic boundary value problems, singular integral equations, numerical experiment, impulse actions.