【摘要】 机械式离心调速器是一种自动调控发动机速度的装置,在现代工业上有着广泛的应用.文章根据拉格朗日函数建立了系统的动力学方程,定性分析了系统定态的存在性和稳定性,讨论了系统的Hopf分岔,得到了系统的Hopf分岔参数值,并判断了极限环的稳定性,最后数值仿真表明了理论推导的正确性,为工程运用提供了理论指导。更多还原

【Abstract】 The mechanical centrifugal flywheel governors are devices that are used to control the engine velocity automatically and have been used broadly in industry.In this paper,the dynamic equations and the state equations of the system were established according to Lagrangian equations.The bifurcation behavior and stability of the model were studied.The critical value of Hopf bifurcation was calculated,and the stability of the limit cycle was also discussed.Finally,numerical simulations confirmed the results of theoretical analysis.更多还原