A CORRESPONDENCE PRINCIPLE FOR FREE VIBRATIONS OF A VISCOELASTIC SOLID.

Abstract

A correspondence principle was established for free vibrations in the classical linearized theory of viscoelasticity. It was shown that for motions which are either irrotational or solenoidal there is always an associated elastic problem with the following properties: (1) every mode shape for the viscoelastic problem is also a mode shape for the elastic problem; and (2) the viscoelastic frequencies can, in principle, be calculated from a knowledge of the elastic spectrum and the relevant relaxation function. It was also shown that, in general, for motions which are neither irrotational nor solenoidal, this correspondence exists only for a restricted class of viscoelastic materials. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1965
Accession Number
AD0630486

Entities

People

  • George M. C. Fisher
  • Marshall J. Leitman

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Doppler Effect
  • Frequency
  • Frequency Shift
  • Materials
  • Spectra
  • Vibration
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.