WAVE PROPAGATION AND FORCED MOTION IN ELASTIC CYLINDRICAL RODS - A COMPARISON OF TWO THEORIES,

Abstract

The investigation considers axial wave motion in rods of circular cross-section and compares the predictions of elementary rod theory (as characterized by the wave equation) with those of an improved theory which accounts for longitudinal as well as radial motions. Three specific cases are considered in detail: (a) wave motion in two bonded, semi-infinite rods composed of different materials, (b) wave motion in a rod of finite length bonded at each end to two semi-infinite rods composed of a different material, and (c) dynamic response of a rod of finite length, fixed at one end and suddenly loaded at the other end. Considerable differences in the predictions of the two theories are observed under certain conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0699596

Entities

People

  • Herbert Reismann
  • Lung-wen Tsai

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Dynamic Response
  • Equations
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Microwave Engineering.