Nonlinear Dynamic Characteristics Analysis of Torpedo Turbine Rotor-Rolling Bearing System
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摘要: 针对鱼雷发动机涡轮转子系统, 考虑轴承径向游隙, 非线性赫兹接触刚度以及转子不平衡量的基础上, 建立了悬臂转子-滚动轴承系统的动力学模型, 并基于变步长的龙格库塔方法对所建立的动力学模型进行了数值仿真。计算了双参数平面最大Lyapunov指数谱图, 得到了转子系统随双参数变化时的周期和非周期运动的分布规律, 并进行了系统在特定参数条件下的时域特性、频域特性及周期特性分析。分析表明, 随着轴承径向游隙增加, 进入混沌区域的最低转速在不断减低。该研究可为鱼雷涡轮机系统设计提供参考。Abstract: To investigate the dynamic response of a torpedo turbine rotor, a dynamic model of a cantilever rotor-rolling bearing system is established, and the effect of the radial clearance of the bearing, nonlinear Hertz contact stiffness, and unbalance of the rotor are considered. The numerical simulation of the dynamic model of the system is carried out based on the variable step-size Runge-Kutta method. The maximum Lyapunov exponential spectra of the two-parameter plane are calculated, and the distribution of periodic and aperiodic motions of the rotor system with the change in the two parameters is obtained. The time-domain, frequency-domain, and periodic characteristics of the system under specific parameters are also studied. The analysis results show that the minimum speed in the chaotic region decreases with an increase in the bearing radial clearance. This study provides a useful reference for the design of torpedo-turbine systems.
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Key words:
- torpedo /
- engine /
- turbine rotor /
- nonlinear dynamics /
- contact stiffness /
- two-parameter
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