VIBRATIONS OF THICK-WALLED HOLLOW CYLINDERS: APPROXIMATE THEORY,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1960
- Accession Number
- AD0626738
Entities
People
- J. F. Bird
Organizations
- Johns Hopkins University Applied Physics Laboratory