汽轮机转子系统中共振组织的全局拓扑规律分析

Analysis on the global topological mechanism of resonant organizations in a steam turbine rotor system

该研究以汽流激振力、非线性油膜力和不平衡离心力共同作用下的汽轮机转子-轴承系统为研究对象。基于GPU并行计算方法,利用高清的双参数平面周期稳定相图并结合传统的单参数数值仿真工具包括分岔图、Lyapunov指数图和时间序列图,揭示了转子系统在双参数平面内周期吸引子的全局拓扑规律。结果表明,转子系统中出现了丰富的满足法里树序列排列的共振组织。得到的拓扑规律有助于更进一步地认识汽轮机转子系统的非线性动力学特性,为大型旋转机械系统的参数匹配、优化设计及故障预测提供有价值的参考。

A steam turbine rotor system influenced by the steam flow excitation force,the non-linear oil-film force and the unbalanced eccentricity force was analysed.Based on the GPU parallel computing method,by employing high resolution biparametric stability phase diagrams combined with traditional single parameter numerical simulation tools including bifurcation diagram,Lyapunov exponent diagram,and time series diagram,the global topological mechanism of the periodic attractors of the rotor system was revealed in the two-dimensional parameter planes.The results show the abundance of the distribution of the resonant organizations satisfying the Farey-sum sequences.The obtained topological diagrams will contribute to the profound understanding of the nonlinear dynamical characteristics of the steam turbine rotor system and provide a valuable reference for the parameter matching,optimal design and failure prediction in the field of large scale rotating machinery systems.