ASYMMETRIC NATURAL VIBRATIONS OF A FLUID CONTAINING CYLINDRICAL SHELL STIFFENED WITH RODS AMD SUBJECTED TO THE ACTION OF COMPRESSIVE FORCE ALONG THE AXIS

The paper studies asymmetric natural vibrations of a fluid-filled cylindrical shell stiffened with rods subjected to the action of compressive force along the axis. Using the constructive-orthotropic model of the shell, compressive models of fluid and contact conditions, a frequency equation for the system under consideration was structured. The obtained equation is a transcendental equation with respect to the desired frequency parameter. Using the logarithmic derivative of the Bessel function, based on the shell thickness and character of change in the stress-strain of the shell, an analytic expression for the vibration frequency of the system under consideration was obtained and the influence of physical and geometrical parameters characterizing the system on these parameters was studied.