Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties

doi:10.1007/s10483-022-2816-8

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (2): 275-294.doi: https://doi.org/10.1007/s10483-022-2816-8

Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties

Chao FU^1,2, Kuan LU¹, Y. D. XU³, Yongfeng YANG¹, F. S. GU², Yushu CHEN⁴

1. Institute of Vibration Engineering, Northwestern Polytechnical University, Xi'an 710072, China;
2. Centre for Efficiency and Performance Engineering, University of Huddersfield, Huddersfield HD1 3DH, U. K;
3. Dynamics Group, Imperial College London, London SW7 2AZ, U. K;
4. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

收稿日期:2021-10-09 修回日期:2021-12-01 发布日期:2022-01-25
通讯作者: Kuan LU, E-mail:lukuan@nwpu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 12072263 and 11972295) and the Fundamental Research Funds for the Central Universities (No. G2021KY0601)

Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties

Chao FU^1,2, Kuan LU¹, Y. D. XU³, Yongfeng YANG¹, F. S. GU², Yushu CHEN⁴

1. Institute of Vibration Engineering, Northwestern Polytechnical University, Xi'an 710072, China;
2. Centre for Efficiency and Performance Engineering, University of Huddersfield, Huddersfield HD1 3DH, U. K;
3. Dynamics Group, Imperial College London, London SW7 2AZ, U. K;
4. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

Received:2021-10-09 Revised:2021-12-01 Published:2022-01-25
Contact: Kuan LU, E-mail:lukuan@nwpu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 12072263 and 11972295) and the Fundamental Research Funds for the Central Universities (No. G2021KY0601)

摘要/Abstract

摘要： This paper deals with the co-existence of mixed aleatory and epistemic uncertainties in a wind turbine geared system for more reliable and robust vibration analyses. To this end, the regression-based polynomial chaos expansion (PCE) is used to track aleatory uncertainties, and the polynomial surrogate approach (PSA) is developed to treat the epistemic uncertainties. This non-intrusive dual-layer framework shares the same collocation pool, which is extracted from the Legendre series. Moreover, the regression technique has been implemented in both layers to enhance calculation efficiency. Numerical validation is carried out to show the effectiveness of the proposed method. New vibration behaviors of the geared transmission system are observed, and the mechanism behind is discussed in detail. The findings of this paper will contribute to the insightful understanding of such wind turbine geared systems under hybrid uncertainties and are beneficial for the condition monitoring.

关键词: geared system, wind turbine, hybrid uncertainty, dynamic response, efficient framework

Abstract: This paper deals with the co-existence of mixed aleatory and epistemic uncertainties in a wind turbine geared system for more reliable and robust vibration analyses. To this end, the regression-based polynomial chaos expansion (PCE) is used to track aleatory uncertainties, and the polynomial surrogate approach (PSA) is developed to treat the epistemic uncertainties. This non-intrusive dual-layer framework shares the same collocation pool, which is extracted from the Legendre series. Moreover, the regression technique has been implemented in both layers to enhance calculation efficiency. Numerical validation is carried out to show the effectiveness of the proposed method. New vibration behaviors of the geared transmission system are observed, and the mechanism behind is discussed in detail. The findings of this paper will contribute to the insightful understanding of such wind turbine geared systems under hybrid uncertainties and are beneficial for the condition monitoring.

Key words: geared system, wind turbine, hybrid uncertainty, dynamic response, efficient framework

中图分类号:

Chao FU, Kuan LU, Y. D. XU, Yongfeng YANG, F. S. GU, Yushu CHEN. Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 275-294.

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Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties

Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties

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