Forced Transverse Vibrations of a Solid, Elastic Core Case-Bonded to an Infinitely-Long, Rigid Cylinder

Abstract

The problem is solved of the forced, transverse vibrations of a solid, compressible, elastic core case-bonded to an infinitely-long, rigid cylinder. It is shown that the ratio of the amplitude response of the core axis to the amplitude of the casing depends on both the frequency of the forced vibration and Poisson's ratio for the core material. By plotting amplitude ratio versus frequency curves for different values of Poisson's ratio it is demonstrated that the amplitude ratio versus frequency plot for an incompressible, elastic core is a simple line spectrum. On the basis of this result it is concluded that considerable care must be exercised when interpreting the results of solutions of problems wherein the assumption of incompressible material is involved.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
ADB193522

Entities

People

  • J. H. Baltrukonis

Organizations

  • The Catholic University of America

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Civil Engineering
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Response
  • Jet Propulsion
  • Line Spectra
  • Materials
  • Mechanics
  • Military Research
  • New York
  • Physics Laboratories
  • Resonant Frequency
  • Vibration

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  • Structural Dynamics.