液体火箭推进流体系统动特性分析是POGO振动研究主要内容之一,为深入细致开展POGO振动研究,在液路全参数下研究液体火箭推进流体系统固有频率以及传递函数已成为必要。本文采用LRC等效电路分析法,将流体系统的各元件等效成电感L、电阻R、电容C元件,并组成电路,对液体火箭推进流体系统数学模型进行了完善,并利用网络函数法,推导出液体火箭推进流体系统传递函数表达式,进而可以对流体系统固有频率进行精确求解。最后从统计学的角度,运用相关系数方法研究了液路参数对系统固有频率的影响,确定了对液体火箭推进流体系统固有频率影响较大的主要液路参数。
The study of POGO vibration requires that the study of the natural frequency and the transfer function of the propelling flow system in a liquid rocket should be under all flow parameters. We use the LRC equivalent cir- cuit analysis method to make sure that each element of the propelling flow system is equivalent to inductance , re- sistance , and capacitance that makes Up the circuit. The mathematic models of the propelling flow system in the liquid rocket are perfected, and the transfer function expressions of the propelling flow system are elicited by means of the network function that accurately solves the natural frequency of the propelling flow system. Finally, from the statistic point of view, we use the correlation coefficient method to study the influence of all flow parameters on the natural frequency and the major influence of liquid flow parameters on the natural frequency of a l~quid propelling flow system in a liquid rocket.