About one model of interaction of pressure oscillations with hardware vibrations in combustion chambers of power plants

A feedback model, describing interaction of pressure oscillations with hardware vibrations in combustion chambers operating under vibrating combustion is studied. A system of dynamic equations and first approximation equations for slowly varying, oscillation amplitudes and phases is derived. Results of numerical analysis show that extension of instability bound is appreciably affected by: increase of numerical value of interaction index for vibrations, decrease of detuning between acoustic and mechanical vibrations frequencies and reduction of structure vibration loss factor.