The paper identifies the relevance of research on the effectiveness of fire-technical processes in energy devices (boilers, furnaces and internal combustion engines, etc.) in order to optimize them and improve their reliability. The survey revealed the closeness of calculation methods for such devices. The development of engineering methodology of design and verification calculations is necessary for the further development of vibration combustion machines production industry. The author identifies the main problems of formation of calculating methodology for energy devices operating on the basis of vibration combustion. To determine the frequency of the impulse response of these devices the author proposes a mathematical model and the description of the process of the thermodynamic fluctuations in the combustion chamber, allowing to determine the reliability and efficiency of these devices for different purposes based on the principle of self-oscillating combustion of fuel at the design stage.