Mathematical modelling low-frequency dynamics of flow controller at various amplitudes of harmonic disturbance

Математичне Моделювання Перехідних Процесів У Системі Живлення Маршової Рідинної Двигунної Установки Верхнього Ступеня Ракети-Носія «циклон-4м»

“…Based on the frequency characteristics Z(j) and W(j) we may defi ne natural oscillation frequencies of the pipeline system, as well as its resistance to cavitation oscillations (if the system includes a cavitation pump) [17]. They can also be used to build and verify a mathematical model of a pipeline concentrated parameter system [11,19].…”

“…Further, the number and value of concentrated compliances are specifi ed based on the required accuracy of matching in the specifi ed frequency range of frequency characteristics Z(j) and W(j) of the pipeline as distributed parameter system and concentrated parameter system [19].…”

Визначення Розкиду Тяги Багатодвигунної Установки I Ступеня Ракети-Носія «циклон-4м» При Її Запуску

“…Therefore, the spread of the design and mode parameters of the flow controller can significantly affect the thrust spread of the LRE in the course of its start. For mathematical modeling of dynamic processes in the fuel consumption controller at start, a mathematical model described in [14] has been developed. The equation of motion of the moving parts of the flow controller is written as follows:…”

“…where m p is the mass of moving parts of the flow controller; x is the displacement of the flow controller spool; F FR (x) is the force of friction, proceeding from the hypothesis of dry friction; k SP is the spring stiffness coefficient; F P is the cross-sectional area of the spool; p A , p B are the fluid pressure in cavities A and B, respectively (see [14]); R O SP is the initial tightening of the flow controller spring; R HD is the hydrodynamic force.…”