Accession Number : AD0626738

Title :   VIBRATIONS OF THICK-WALLED HOLLOW CYLINDERS: APPROXIMATE THEORY,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : BIRD,J. F.

Report Date : APR 1960

Pagination or Media Count : 25

Abstract : An approximate theory (with sample calculations is presented) for the thickness eigenmodes of an infinitely long hollow cylinder of arbitrary wall thickness, and subject to a variety of boundary conditions. Beginning with the earlier observation (see AD-626 737) that the coupling between shear and compression waves in the solid wall is weak, a perturbation theory is deduced by which approximate eigenfrequencies can easily be computed by hand, with accuracy better than several percent provided the number of radial nodes is more than a few. The perturbation method can also be used to compute the attenuation of sound in the cylinder wall. (Author)

Descriptors :   (*CYLINDRICAL BODIES, VIBRATION), THEORY, THICKNESS, BOUNDARY LAYER, PERTURBATION THEORY, SOUND, ATTENUATION, SOLID PROPELLANT ROCKET ENGINES, ACOUSTICS

Subject Categories : Acoustics
      Mechanics
      Solid Propellant Rocket Engines

Distribution Statement : APPROVED FOR PUBLIC RELEASE