RESPONSE OF AN ELASTIC SOLID TO AN OSCILLATING PRESSURE WITHIN A CAVITY

Abstract

A uniformly distributed normal traction, varying harmonically with time, is applied to the surface of a spherical cavity in an infinite homogeneous isotropic elastic solid. The response of the system is similar to that associated with damped vibrations of bodies containing reflecting boundaries. An explanation is obtained by comparing the elastic system with a damped simple oscillator. The same problem is then solved for a cylindrical cavity of circular section and infinite length.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1953
Accession Number
AD0012376

Entities

People

  • Raymond D. Mindlin
  • T. R. Kane

Organizations

  • Columbia University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Amplification
  • Boundaries
  • Civil Engineering
  • Displacement
  • Elastic Properties
  • Engineering
  • Frequency
  • Mechanical Properties
  • Military Research
  • New York
  • Oscillators
  • Physical Properties
  • Resonant Frequency
  • Static Pressure
  • Traction
  • Vibration
  • Waves

Fields of Study

  • Mathematics

Readers

  • Optical Physics and Photonics.
  • Structural Dynamics.