汽轮机转子系统中共振组织的全局拓扑规律分析

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (18) : 273-279.

论文

徐璐1，褚衍东2，杨琼1，李险峰2

作者信息 +

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

XU Lu1, CHU Yandong2, YANG Qiong1, LI Xianfeng2

Author information +

文章历史 +

摘要

本文以汽流激振力、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对汽轮机转子系统的非线性动力学特性更进一步地认识，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。
关键词：汽轮机转子系统；双参数平面；分岔；混沌; 共振组织

Abstract

This paper investigates the steam turbine rotor system influenced by the air exciting-vibration force, the non-linear oil-film force and the unbalanced eccentricity force. Based on the GPU parallel computing method, by employing abundant biparametric stability phase diagrams and traditional codimension-one numerical tools including bifurcation diagram, Lyapunov exponent diagram, and time series diagram, the paper reveals the topological rules of the periodic attractors of the rotor system with respect to the two-dimensional parameter planes. The results show that the distribution of the resonant organizations satisfying the Farey-sum sequences is a generic feature. The obtained topological rules will contribute to the profound understanding for the nonlinear dynamical characteristics of the steam turbine rotor system and provide valuable reference for the parameter matching, the optimal design and failure prediction in the field of the large scale rotating machinery systems.
Key words: steam turbine rotor system; two-dimensional parameter planes; bifurcation; chaos; resonant organization

导出引用

徐璐1，褚衍东2，杨琼1，李险峰2. 汽轮机转子系统中共振组织的全局拓扑规律分析[J]. 振动与冲击, 2022, 41(18): 273-279

XU Lu1, CHU Yandong2, YANG Qiong1, LI Xianfeng2. Analysis on the global topological mechanism of resonant organizations in a steam turbine rotor system[J]. Journal of Vibration and Shock, 2022, 41(18): 273-279

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