Transition from Traveling to Stationary Loads in a Hollow Cylinder

Abstract

The equations for elastic strains due to internal loads moving with constant velocity are formulated in terms of Green-Lame' potentials, using sin(s)(z-ct) and cos(s)(z-ct) as separation factors in the Fourier integrals for the strains. The remaining factors involve Bessel functions and trigonometric functions of the polar angle. Solenoidal vector potentials are also derived in accord with the general theory. The dynamic stresses for a traveling load approach the equilibrium stresses as the velocity of travel approaches zero.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA129092

Entities

People

  • Alexander S. Elder

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Biharmonic Functions
  • Complex Variables
  • Differential Equations
  • Equations
  • Internal Pressure
  • Linear Accelerators
  • Materials
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Munitions
  • New York
  • Secondary Waves
  • Wave Equations
  • Wave Functions
  • Weapons

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.
  • Materials Science (Mechanical Engineering).