ANALYSIS OF A SELF-SUSTAINED NONLINEAR VIBRATION IN A PIPE CONTAINING A HEATER

Abstract

A pipe of length 2L closed at both endssdne htob ta dd at both ends contains a pressure-sensitive plane heater at its midsection. The rate of heat release per unit area of the heater is assumed to vary with the pressure fluctuation. Such a system is unstable to small disturbances and a self-excited oscillation grows exponentially in time until nonlinear effects set in and shock waves are formed in the system. Ultimately a self-sustained nonlinear periodic vibration takes place in the pipe. When the feedback coefficient is small in comparison with unity, the nonlinear vibration can be calculated by a perturbation technique. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1961
Accession Number
AD0269351

Entities

People

  • Boa-teh Chu

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coefficients
  • Feedback
  • Mechanical Waves
  • Motion
  • Oscillation
  • Perturbations
  • Shock
  • Shock Waves
  • Vibration
  • Waves

Readers

  • Combustion and Flow Dynamics.
  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics