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| Stochastic analysis of resonance steady-state response of rotor with shaft bending and unbalance faults |
| Received:July 02, 2018 Revised:February 23, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180702002 |
| KeyWord:flexible rotor bend and unbalance faults resonance steady-state response adaptive sparse polynomial chaos expansion sobol sensitivity index |
| Author | Institution |
| 周生通 |
华东交通大学 机电与车辆工程学院, 南昌 |
| 祁强 |
华东交通大学 机电与车辆工程学院, 南昌 |
| 周新建 |
华东交通大学 机电与车辆工程学院, 南昌 |
| 王建国 |
华东交通大学 机电与车辆工程学院, 南昌 |
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| Abstract: |
| Randomness of system parameters is an important factor for accurately predicting the dynamic behavior of rotor systems.To this end,the uncertainty quantification of flexible rotor systems with initial bend and unbalance faults and random faults parameters is investigated.First of all,the equation of steady-state response of rotor system with bend and unbalance faults is established according to the finite element beam theory of rotor dynamics,and the length of semi-major axis of rotor orbit of steady-state response at resonance is the quantity of interest,whose model function is developed.Second,the non-intrusive adaptive sparse polynomial chaos (PC) expansion of the steady-state response of the flexible rotor system is implemented by combining the techniques of generalized PC expansion,leave-one-out (LOO) cross validation and least angle regression (LAR).The validity,accuracy and efficiency of this adaptive sparse expansion method are carefully examined and validated by comparison with the ordinary least-square (OLS) based method and Monte Carlo simulation.Finally,using the established PC approximation model,the stochastic behaviors of the steady-state response at the first order resonance are mainly analyzed,and the Sobol sensitivity indexes of the response with respect to random faults parameters are also discussed. |
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