Waves in an Imperfectly Elastic Medium,

Abstract

This paper deals with the problem of propagation of shear (or compression) waves in a plane-parallel layer of finite thickness. The waves are excited by an instantaneous displacement of the points of the lower plane, allowing for multiple reflections of the fronts from both boundaries of the layer. The layer material obeys the laws of linear viscoelasticity (the Kelvin-Voigt and Maxwell models). Exact expressions for displacements of the particles of the medium are derived. The paper investigates stationary vibrations of the layer, allowing for changes in the physicomechanical properties in thickness (inhomogeneous medium), and determines the resonance frequencies.

Document Details

Document Type
Technical Report
Publication Date
Nov 20, 1974
Accession Number
ADA002963

Entities

People

  • P. F. Sabodash

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Compression
  • Displacement
  • Frequency
  • Frequency Shift
  • Materials
  • Particles
  • Reflection
  • Resonance
  • Stationary
  • Thickness
  • Vibration
  • Viscoelasticity
  • Waves

Fields of Study

  • Engineering

Readers

  • Structural Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.