纵摇运动下船用转子-轴承-浮筏气囊耦合系统非线性动力学特性  

Nonlinear Dynamic Characteristics of the Ship Rotor-bearing-floating Raft Airbag Coupling Systems under Pitching Motion

作　　者：段有利 李明[1] DUAN Youli;LI Ming(Department of Mechanics,Xi′an University of Science and Technology,Xi′an 710054,China)

机构地区：[1]西安科技大学力学系,西安710054

出　　处：《噪声与振动控制》2024年第2期37-43,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(11972282)。

摘　　要：以纵摇运动作用下转子-轴承-浮筏气囊耦合系统的非线性动力学特性作为研究对象。首先,考虑转子不平衡力、轴承油膜力、浮筏气囊弹性回复力以及船体纵摇运动惯性力等因素,根据Lagrange方程建立转子轴承-浮筏气囊耦合系统的动力学模型。基于数值方法,结合瀑布图、轴心轨迹图及相图、时域和频谱图等对转子-轴承-气囊浮筏耦合系统非线性动力学特性进行分析。结果表明:随着转子转速的增加,纵摇运动下的转子轴承-浮筏气囊耦合系统运动状态从拟周期运动到混沌运动;与不考虑纵摇运动时相比,纵摇运动下转子的振动响应幅值明显增大,同时响应中存在纵摇频率及工频的组合倍频。最后讨论纵摇幅值的变化对于转子轴承-浮筏气囊耦合系统动力学特性的影响。The nonlinear dynamic characteristics of the rotor-bearing-floating raft airbag system of a ship under pitching motion are studied.Firstly,considering unbalance force,bearing oil film force,floating raft airbag elastic recovery force and inertial force of ship pitching motion,the dynamic model of this system is established according to Lagrange equation.Then,based on the numerical method,the nonlinear dynamic characteristics of this system are analyzed by means of waterfall diagram,axis trajectory diagram,phase diagram,time domain and frequency spectrum diagram.The results show that with the increase of the rotor speed,the motion state of the system under pitching motion excitation changes gradually from quasi-periodic motion to chaotic motion.The amplitude of the vibration response of the rotor is obviously larger than that of the rotor without considering the pitching motion,and there exists a combination of pitch frequency and power frequency in the response.Finally,the influence of pitching amplitude on the characteristics of the rotor bearingfloating raft airbag coupling system dynamics is discussed.

关 键 词：振动与波 非线性动力学 纵摇 船用转子系统 浮筏气囊 

分 类 号：O322[理学—一般力学与力学基础]