Full Text:   <552>

Summary:  <228>

CLC number: TH113.1

On-line Access: 2018-03-05

Received: 2016-04-27

Revision Accepted: 2017-06-07

Crosschecked: 2018-01-31

Cited: 0

Clicked: 1540

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Chun-biao Gan

https://orcid.org/0000-0002-6597-5605

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2018 Vol.19 No.3 P.189-202

http://doi.org/10.1631/jzus.A1600340


Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor


Author(s):  Chun-biao Gan, Yue-hua Wang, Shi-xi Yang

Affiliation(s):  State Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   cb_gan@zju.edu.cn

Key Words:  Random uncertainty, Nonparametric model, Reliability, Response spectral analysis


Chun-biao Gan, Yue-hua Wang, Shi-xi Yang. Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor[J]. Journal of Zhejiang University Science A, 2018, 19(3): 189-202.

@article{title="Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor",
author="Chun-biao Gan, Yue-hua Wang, Shi-xi Yang",
journal="Journal of Zhejiang University Science A",
volume="19",
number="3",
pages="189-202",
year="2018",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1600340"
}

%0 Journal Article
%T Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor
%A Chun-biao Gan
%A Yue-hua Wang
%A Shi-xi Yang
%J Journal of Zhejiang University SCIENCE A
%V 19
%N 3
%P 189-202
%@ 1673-565X
%D 2018
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1600340

TY - JOUR
T1 - Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor
A1 - Chun-biao Gan
A1 - Yue-hua Wang
A1 - Shi-xi Yang
J0 - Journal of Zhejiang University Science A
VL - 19
IS - 3
SP - 189
EP - 202
%@ 1673-565X
Y1 - 2018
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1600340


Abstract: 
A general procedure is proposed to estimate the reliability of a dual-span rotor based on nonparametric modeling on random uncertainty. First, the vibration equation of the rotor with random uncertainty is constructed based on random matrices through the nonparametric modeling approach. Second, the reliability estimation is then performed by response spectral analysis and the moment method. By making full use of the advantages of nonparametric method and response spectral analysis, not only is the requirement on probability density function (PDF) avoided, but also the first and second moments are no longer needed to be estimated or assumed for calculating the reliability. Finally, the statistical index Z*-value based on short-term predictability is introduced to investigate the influence of random uncertainties on the reliability of the dual-span rotor. Illustrating examples show that the results obtained from the proposed procedure are consistent with those from short-term predictability, such that dangerous ranges can be well identified during the start-up process of the rotor.

The central topic of this paper is the study of the reliability of a dual span rotor based on the nonparametric modeling on random uncertainty. With what appears to be well conducted mathematical derivation and numerical verification, the authors establish some interesting results, which states that the reliability calculation can be continued without knowing discrete movements by their procedure, and also, a large amount of information needed for determining the PDF is avoided in the reliability analysis. From their simulation results, the safe or failure ranges of the dual-span rotor system can be clearly estimated from the curves of the proposed reliability indices. The results are certainly of important significance for random uncertainty modeling and reliability analysis of rotating machinery.

双跨转子的随机不确定性非参数建模与可靠性分析

目的:旋转机械由于工作环境复杂,在运行过程中会不可避免地受到各种不确定性因素的影响,从而引发转子系统的异常振动.因此,迫切需要对系统工作状态开展可靠性分析.本文将外部扰动不确定性与模型不确定性考虑在内,旨在建立转子系统运行状态的可靠性评估指标,丰富转子动力学理论体系,为工程应用提供参考.
创新点:1. 采用非参数法进行建模,能够将外部扰动不确定性与模型不确定性同时包含在内; 2. 在非参数建模基础上,结合响应谱分析法进行可靠性计算,可避免对系统先验知识的需求并降低计算过程的复杂性; 3. 将短周期预测理论扩展应用于可靠性分析验证.
方法:1. 借助非参数法建立转子系统的随机不确定性模型; 2. 结合响应谱分析法推导出系统可靠性指标计算式; 3. 采用短周期预测方法对模拟数据统计指标进行计算与验证.
结论:1. 本方法可用于评估大型复杂旋转机械系统的可靠性,尤其对于服役时间较长导致系统参数出现不确定性变化的情形; 2. 本研究结果可为大型复杂旋转机械的设计、运行和控制提供理论基础,同时也可以为其他类型机械设备的可靠性分析和预测方法提供参考.

关键词:随机不确定性;非参数建模;可靠性;响应谱分析

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Au SK, Papadimitriou C, Beck JL, 1999. Reliability of uncertain dynamical systems with multiple design points. Structural Safety, 21(2):113-133.

[2]Beck AT, Melchers RE, 2004. On the ensemble crossing rate approach to time variant reliability analysis of uncertain structures. Probabilistic Engineering Mechanics, 19(1-2):9-19.

[3]Beck D, 2015. Applications of hydro-mechanically coupled 3D mine and reservoire scale, discontinuous, strain-softening dilatant models with damage. Proceedings of the 49th US Rock Mechanics/Geomechanics Symposium.

[4]Deckers M, Doerwald D, 1997. Steam turbine flow path optimizations for improved efficiency. Proceedings of PowerGen Asia, p.160-185.

[5]Gan CB, Wang YH, Yang SX, et al., 2014. Nonparametric modeling and vibration analysis of uncertain Jeffcott rotor with disc offset. International Journal of Mechanical Science, 78:126-134.

[6]Grassberger P, Procaccia I, 1983. Characterization of strange attractors. Physical Review Letters, 50(5):346-349.

[7]Kennel MB, Isabelle S, 1992. Method to distinguish possible chaos from colored noise and to determine embedding parameters. Physical Review A, 46(6):3111-3118.

[8]Kim HS, Eykholt R, Salas JD, 1999. Nonlinear dynamics, delay times, and embedding windows. Physica D: Nonlinear Phenomena, 127(1-2):48-60.

[9]Lal M, Tiwari R, 2012. Multi-fault identification in simple rotor-bearing-coupling systems based on forced response measurements. Mechanism and Machine Theory, 51:87-109.

[10]Li J, Chen JB, 2005. Dynamic response and reliability analysis of structures with uncertain parameters. International Journal for Numerical Methods in Engineering, 62(2):289-315.

[11]Liu DS, Peng YH, 2012. Reliability analysis by mean-value second-order expansion. Journal of Mechanical Design, 134(6):0061005.

[12]Liu WM, Noyak M, 1995. Dynamic behaviour of turbine generator foundation systems. Earthquake Engineering and Structural Dynamics, 24(3):339-360.

[13]Mbarka S, Baroth J, Ltifi M, et al., 2010. Reliability analyses of slope stability. European Journal of Environmental and Civil Engineering, 14(10):1227-1257.

[14]Murugan S, Ganguli R, Harursampath D, 2008a. Aeroelastic response of composite helicopter rotor with random material properties. Journal of Aircraft, 45(1):306-322.

[15]Murugan S, Harursampath D, Ganguli R, 2008b. Material uncertainty propagation in helicopter nonlinear aeroelastic response and vibratory analysis. AIAA Journal, 46(9):2332-2344.

[16]Narendra KS, Parthasarathy K, 1990. Identification and control of dynamical systems using neural networks. IEEE Transactions on Neural Networks, 1(1):4-27.

[17]Ohayon R, Soize C, 1998. Structural Acoustics and Vibration. Academic Press, New York, USA.

[18]Pichler K, Lughofer E, Pichler M, et al., 2015. Fault detection in reciprocating compressor valves under varying load conditions. Mechanical Systems and Signal Processing, 70:104-119.

[19]Rinehart AW, Simon DL, 2014. An integrated architecture for aircraft engine performance monitoring and fault diagnostics: engine test results. 50th AIAA/ASME/SAE/ ASEE Joint Propulsion Conference, AIAA Propulsion and Energy Forum.

[20]Shiau TN, Huang KH, Wang FC, et al., 2009. Dynamic response of a rotating multi-span shaft with elastic bearings subjected to a moving load. Journal of System Design and Dynamics, 3(1):107-119.

[21]Soize C, 2000. A nonparametric model of random uncertainties for reduced matrix models in structural dynamics. Probabilistic Engineering Mechanics, 15(3):277-294.

[22]Song Y, Feng HL, Liu SY, 2006. Reliability models of a bridge system structure under incomplete information. IEEE Transactions on Reliability, 55(2):162-168.

[23]Spinato F, Tavner PJ, van Bussel GJW, et al., 2008. Reliability of wind turbine subassemblies. IET Renewable Power Generation, 3(4):387-401.

[24]van Ommen JR, Schouten JC, Coppens MO, et al., 1999. Monitoring fluidization by dynamic pressure analysis. Chemical Engineering & Technology, 22(9):773-775.

[25]Wan F, Zhu WP, Swamy MNS, 2008. A frequency-domain correlation matrix estimation algorithm for MIMO-OFDM channel estimation. IEEE 68th Vehicular Technology Conference, p.1-5.

[26]Zhang YM, Wen BC, Liu QL, 1998. First passage of uncertain single degree-of-freedom nonlinear oscillators. Computer Methods in Applied Mechanics and Engineering, 165(1-4):223-231.

[27]Zhang YM, Wen BC, Liu QL, 2003. Reliability sensitivity for rotor–stator systems with rubbing. Journal of Sound and Vibration, 259(5):1095-1107.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE