THE ACTION OF SHOCK WAVES ON CYLINDRICAL PANELS PLACED IN A BOUNDLESS IDEAL FLUID
In this scientific article, the problems associated with the interaction of a plane shock pressure wave on an elastic circular cylindrical panel are considered. A cylindrical panel fixed in a cylindrical screen is placed in a boundless ideal fluid. The transverse oscillations of the panel are described by the well-known finite deflection equations according to the theory of thin shallow shells. The problem of non-linear motion of an elastic panel under the action of a weak shock wave is a difficult task. To simplify the problem, the pressure of reflected and radiated waves is determined approximately without taking into account diffraction from boundary edges. Based on these simplifications, the basic formulas for a smooth cylindrical shell are derived. Nonlinear differential equations of motion of a cylindrical panel placed in an infinite ideal fluid are solved numerically using the Maple-17 program. The results of the change in the amplitude of the deflection and displacement of the middle surface of the panel of the cylindrical shell from time to time at different angle-β and coefficient λ are obtained. The graphs obtained show that the oscillations of the panel in an ideal liquid are close to aperiodic. This is due to its large damping.
task, plane, impact, wave, pressure, elastic, circular, cylindrical, panel, limitless, ideal, liquid, transverse. fluctuations. equations, non-linear, motion, diffraction, edges, differential, fluid, method, program, amplitude, deflection, displacement, surface, damping.