Complexity of periodic sequences of large-scale rotating machinery system coupled by multi-fault

Lu Xu, Yan-Dong Chu, Qiong Yang, Xian-Feng Li and Andrew Y. T. Leung
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Lu Xu: School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, China
Yan-Dong Chu: ��Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province, Lanzhou, China
Qiong Yang: School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, China
Xian-Feng Li: ��School of Mathematics, Lanzhou Jiaotong University, Lanzhou, China
Andrew Y. T. Leung: �Department of Architecture and Civil Engineering, City University of Hong Kong, China

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 12, 1-31

Abstract: Taking the steam turbine cracked rotor system coupling multi-fault as an example, this paper reports systematic numerical experiments exploring two-parameter periodic complexification cascades. Specifically, we report high-resolution phase diagrams predicting and describing how the periodic sequences unfold over a quite extended range of parameter planes. Surprisingly, such diagrams reveal that the distribution of periodic sequences either agrees well with the characteristics of “eye†of chaos, or is characterized by the derived Farey sum tree and the bidirectional symmetrical Stern–Brocot sum tree. These cascades show that the frequent occurrence of transient multi-period motion is a generic feature for the large rotating machinery system with multi-fault. And the paper obtains a cluster of sequences of the Farey sum tree and the Stern–Brocot sum tree specially suitable for the large nonlinear and nonautonomous systems, which can provide a powerful reference for failure prediction and parameter matching.

Keywords: Steam turbine cracked rotor system; two-dimensional parameter plane; nonlinear dynamics; numerical simulation; GPU parallel computing method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122501571

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