Accession Number:

AD0269351

Title:

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

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I

Personal Author(s):

Report Date:

1961-09-01

Pagination or Media Count:

1.0

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE