Accession Number : AD0616604

Title :   ASYMPTOTIC ANALYSIS OF THE AXISYMMETRIC VIBRATIONS OF SHELLS,

Corporate Author : ARMY MATERIALS RESEARCH AGENCY WATERTOWN MASS

Personal Author(s) : ROSS,Edward W. ,Jr.

Report Date : APR 1965

Pagination or Media Count : 33

Abstract : An asymptotic analysis is carried out for the equations of axisymmetric vibration of thin shells, somewhat analogous to the procedure by which geometrical optics is obtained from electromagnetic theory. It is found that two types of asymptotic solutions are obtained, roughly classifiable as high-frequency membrane solutions and bending solutions. Two explicit representations of these solutions are obtained, one for the shallow region of a shell, and the other for the non-shallow region. A number of interesting conclusions emerge from the analysis. (Author)

Descriptors :   (*ELASTIC SHELLS, VIBRATION), BODIES OF REVOLUTION, PARTIAL DIFFERENTIAL EQUATIONS, SERIES(MATHEMATICS), BESSEL FUNCTIONS, DYNAMICS, MEMBRANES, CONTINUUM MECHANICS, ACOUSTICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE