Geometric modeling of blast waves reflected from the cylindrical surface of a sineusidal profile

Abstract

A method is proposed for geometric modeling of a family of blast wave fronts reflected from a cylindrical surface of a sinusoidal profile. The model of “optical” reflection is adopted as a basis, when for each incident virtual explosive “ray” the angle of reflection is equal to the angle of incidence. To illustrate the graphic-analytical approach, a test model of the formation of a family of reflected wave fronts for a cylindrical parabolic surface has been developed. A cylindrical surface of a sinusoidal profile obtained by bending a rectangular metal sheet by longitudinal forces is considered. Geometric models of a family of blast wave fronts reflected from a cylindrical surface of a sinusoidal profile are described. Maple has been compiled – programs for visualizing models of a family of blast wave fronts reflected from a cylindrical surface. Conducted studies of sinusoidal cylindrical reflectors designed to demonstrate the effect of multiplying the effects of shock blast waves directed towards the fire zone. For their practical use, it is necessary to find the bending parameters of the cylinder such that the virtual beams of the “point” explosive are transformed into a system of beams that are close to parallel in the fire zone. As a result of the research, the parameters of bending of a metal rectangular sheet by longitudinal forces were calculated, and the coordinates of the location of the “point” explosive substance were determined. It is taken into account that cylindrical reflectors with a sinusoidal profile can be manufactured at the site of their use. To do this, a rectangular sheet of metal must be bent by longitudinal forces and the bend must be fixed by welding reinforcement rods. The research carried out is aimed at developing the technology of extinguishing forest fires with directed explosions.