ASYMPTOTIC ANALYSIS OF THE AXISYMMETRIC VIBRATIONS OF SHELLS,

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0616604

Entities

People

  • Edward W. Ross Jr.

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Doppler Effect
  • Electromagnetism
  • Equations
  • Frequency
  • Frequency Bands
  • Frequency Shift
  • Membranes
  • Radio Frequency
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.