Accession Number:

AD0626738

Title:

VIBRATIONS OF THICK-WALLED HOLLOW CYLINDERS: APPROXIMATE THEORY,

Descriptive Note:

Corporate Author:

JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s):

• BIRD,J. F.

Report Date:

1960-04-01

Pagination or Media Count:

25.0

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