【摘要】 研究了考虑船体垂荡运动时船用转子-轴承系统的动力学特性。首先,在非惯性参考系基于短轴承理论建立了船体垂荡作用下转子-轴承系统的动力学模型,结果显示垂荡作用下船用转子-轴承系统具有几何非线性特性;其次,采用数值方法,分析了系统的分岔图、最大Lyapunov指数、稳态响应、轴心轨迹、Poincaré映射等,并与船体不发生垂荡时的转子系统动力学特性进行比较;最后,研究了垂荡激励幅值对转子-轴承系统非线性动力学特性的影响。结果表明:垂荡运动会显著地影响转子的动力学行为。在转速较低时,系统呈现周期1运动,垂荡对转子的运动特性影响此时占主导作用;随着转速的增加,系统出现准周期、周期2和双Hopf现象,具有周期1、准周期、周期2和混沌运动等复杂动力学特性。更多还原

【Abstract】 With the ship heaving motion considered,the dynamic behaviors of the marine rotor-bearing system is studied in this paper.First,the dynamic model of the rotor-bearing system under the heaving motion is established based on the short bearing theory in the non-inertial reference system,in which the geometric nonlinearity is found to take place in the marine rotor-bearing system when with the action of heaving motion is taken into account.In addition,the dynamic characteristics,such as the bifurcation diagram,the maximum Lyapunov exponents,the steady state response,the rotor orbit and its Poincarémap are analyzed through numerical method,and the results are compared with those of the rotor-bearing system without heaving motion.Finally,the influence of the amplitude of the heaving excitation on the nonlinear dynamic characteristics of the rotor-bearing system is studied.The results show that the system exhibits a single cycle motion at low rotating speed and the heaving motion effect for this situation is obvious.With the increase of the speed,the phenomena of quasi-periodic,period two and double Hopf bifurcations occur in the system,and its dynamic characteristics present a single cyclic motion,quasi-periodic,period two and chaos etc..更多还原