CAJ | 학술논문

环形密封中流体产生的激振力是导致离心泵转子-密封系统失稳的重要因素。文章采用非线性密封Muszynska 模型建立了离心泵转子-密封系统动力学模型，利用四阶 Runge-Kutta 法将二阶微分方程转化成了一阶微分方程，同时将打靶法和 Floquet 理论相结合，对离心泵转子-环形密封系统不同密封参数情况下的非线性稳定性及其分岔问题进行了研究。结果表明，在转速较低时，系统是稳定的周期涡动，随着转速的提高，系统将产生 Hopf 分岔进入准周期运动而不再稳定，进一步研究发现系统稳定性与密封参数有着重要关系，适当增大密封压差，减小密封间隙和减小密封长度可以提高离心泵转子-密封系统稳定性，计算结果为离心泵转子-密封系统的设计以及定性控制系统的稳定性提供了理论依据。
배형밀봉중류체산생적격진력시도치리심빙전자-밀봉계통실은적중요인소。문장채용비선성밀봉Muszynska 모형건립료리심빙전자-밀봉계통동역학모형，이용사계 Runge-Kutta 법장이계미분방정전화성료일계미분방정，동시장타파법화 Floquet 이론상결합，대리심빙전자-배형밀봉계통불동밀봉삼수정황하적비선성은정성급기분차문제진행료연구。결과표명，재전속교저시，계통시은정적주기와동，수착전속적제고，계통장산생 Hopf 분차진입준주기운동이불재은정，진일보연구발현계통은정성여밀봉삼수유착중요관계，괄당증대밀봉압차，감소밀봉간극화감소밀봉장도가이제고리심빙전자-밀봉계통은정성，계산결과위리심빙전자-밀봉계통적설계이급정성공제계통적은정성제공료이론의거。
The excitation force generated by fluid in an annular seal is an important factor for instability of a centrifugal pump rotor-seal system.Here,a centrifugal pump rotor-seal system’s dynamic model was established with Muszynska nonlinear seal model,and the second-order differential equations were coverted into the first order differential equations by using the fourth-order Runge-Kutta method.The shooting method was combined with Floquet theory to study the stability and bifurcation of a centrifugal pump rotor-seal system under different seal conditions.The results showed that the system is stable with lower rotor speed;Hopf bifurcation and quasi-periodic motion emerged with increase in rotor speed;the system stability is closely related to sealing parameters,it is improved with increase in seal pressure difference, and decrease in seal gap and seal length.The results provided a theoretical basis for design of centrifugal pump rotor-seal systems and qualitative control of system stability.