DISTORTION OF A FINITE AMPLITUDE STANDING WAVE IN AN ELASTIC PANEL

Abstract

The equations governing the stretching of a nonlinear elastic panel of finite length are integrated in the limit when the strains are small but the strain rates are comparable with the natural frequency of the panel. It is shown that such a theory must be used when investigating the distortion and decay of a disturbance which is produced by impact and reflection. The mathematical problem involves functions whose values repeat at a sequence of times which are separated by a time interval which depends on the current value of the function.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0693284

Entities

People

  • E. Varley
  • M. P. Mortell

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Department Of Defense
  • Difference Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Equations Of State
  • Frequency
  • Materials
  • Resonant Frequency
  • Standing Waves
  • Strain Rate
  • Time Intervals
  • Vibration
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.