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Dynamic Saint-Venant principle for rotor system with undetectable initial crack

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Abstract

This paper dedicates on the analysis of the initially cracked rotor system and the ratiocination on the reason why the initial crack is undetectable via signal processing method using dynamic Saint-Venant principle (DSVP). A numerical simulation is intensively conducted to justify the theoretical analysis. The conclusion has been obtained that the dynamic resultant of the initial crack force equals to zero in one period and the stress wave excited by the initial crack force will not interfere the lubrication of the supporting bearings when the frequency of the initial crack force preserves to be less than the limited frequency. This conclusion indicates that the undetectable initially cracked rotor system satisfies the criterions of DSVP, and the health monitoring method using ultrasonic wave should be adopted for initial crack diagnosis.

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Acknowledgments

The authors are grateful for the supports received from the National Basic Research Program of China (973 Program, No. 2011CB706502).

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, Shanghai JiaoTong University, Shanghai, 200240, China

    Ming Li, Huiyu Bai, Xiaohu Wang, Hongguang Li, Fucai Li & Guang Meng

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  1. Ming Li
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  2. Huiyu Bai
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  3. Xiaohu Wang
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  4. Hongguang Li
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Correspondence to Hongguang Li.

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Li, M., Bai, H., Wang, X. et al. Dynamic Saint-Venant principle for rotor system with undetectable initial crack. Arch Appl Mech 86, 1841–1851 (2016). https://doi.org/10.1007/s00419-016-1150-8

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