Accession Number : AD0662246

Title :   ABOUT AN APPROXIMATE METHOD OF CALCULATING AXIALLYSYMMETRICAL OSCILLATIONS OF SHELLS OF ROTATION WITH LIQUID FILLING,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Shklyarchuk,F. N.

Report Date : 18 AUG 1967

Pagination or Media Count : 19

Abstract : The hydrodynamic pressure in a liquid filling a vessel is determined approximately, neglecting the wave motions on the free surface ('plane-motion' hypothesis). An equation is derived for the 'plane motion' of a layer of a liquid in a vessel and its solution and a formula for determining the total (static and dynamic) pressure in the liquid are presented. These means are used to determine the lower frequencies and modes of axisymmetric vibrations of arbitrarily shaped nonshallow shells of revolution filled with liquid. The Ritz and successive-approximation methods are used in the investigation. The vibration of a cylindrical membrane-stressed shell with a rigid flat bottom, fixed along the lower face is analyzed and the results obtained are compared with the data of an exact investigation. Two sample analyses of the vibrational behavior of shells of revolution are given: (1) of a conical shell completely filled with liquid; the shell is fixed along the edge to resist tangential displacements, and the deformation caused by the hydrostatic pressure is taken as the first approximation; in the second and third approximations, a formula for determining the frequency is obtained; and (2) of a cylindrical liquid-filled shell with a spherical bottom, by analyzing the displacements of walls and of the bottom and using the equations of the potential strain energy of the shell and of the kinetic energy of the liquid-filled shell. Cylindrical shells with shallow bottoms are also discussed. The results obtained are compared with the data of exact solutions and experiments. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), VIBRATION), BODIES OF REVOLUTION, NUMERICAL ANALYSIS, HYDROSTATIC PRESSURE, OSCILLATION, BOUNDARY VALUE PROBLEMS, CONICAL BODIES, USSR

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE