Abstract
An analysis is presented for the determination of the natural frequency in longitudinal vibration of a static gas mass at ambient pressure contained in a rocket thrust chamber. The technique used is the Rayleigh-Ritz method of equating the kinetic energy to the work done in a conservative system, and determining the natural frequencies from the solution of the differential equations defining the energy relationship of the system. A comparison of the expression derived from the theory and that of the one-quarter wave length oscillator is made and the relationship indicated. Tests were made to determine the resonant frequency of thrust chambers filled with air at normal temperature and pressure. Results from these tests with thrust chambers of three different configurations are presented in substantiation of the theoretical results.
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