Modeling of the rotor-bearing system and dynamic reliability analysis of rotor’s positioning precision:

On the basis of the classical two degree of freedom (2-DOF) rotor-bearing system, the stochastic dynamic equations are solved and the dynamic reliability of the rotor’s positioning precision is exa...

[1]  Jean-Jacques Sinou,et al.  Analysing the dynamic response of a rotor system under uncertain parameters by polynomial chaos expansion , 2012 .

[2]  Yushu Chen,et al.  Bifurcations and hysteresis of varying compliance vibrations in the primary parametric resonance for a ball bearing , 2015 .

[3]  T. A. Harris,et al.  Advanced Concepts of Bearing Technology,: Rolling Bearing Analysis, Fifth Edition , 2021 .

[4]  Jean-Jacques Sinou,et al.  Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings , 2009 .

[5]  Yimin Shao,et al.  Overview of dynamic modelling and analysis of rolling element bearings with localized and distributed faults , 2018 .

[6]  Fulei Chu,et al.  A new nonlinear dynamic model of the rotor-bearing system considering preload and varying contact angle of the bearing , 2015, Commun. Nonlinear Sci. Numer. Simul..

[7]  K. Cavalca,et al.  Formulation of five degrees of freedom ball bearing model accounting for the nonlinear stiffness and damping of elastohydrodynamic point contacts , 2018, Mechanism and Machine Theory.

[8]  Yimin Zhang,et al.  A research on the time-varying stiffness of the ball bearing considering the time-varying number of laden balls and load distribution , 2018, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science.

[9]  Yaping Zhao,et al.  Reliability design and sensitivity analysis of cylindrical worm pairs , 2014 .

[10]  Zhiyong Zhang,et al.  The Varying Compliance Resonance in a Ball Bearing Rotor System Affected by Different Ball Numbers and Rotor Eccentricities , 2018 .

[11]  Dongxiang Jiang,et al.  Vibration response characteristics of a dual-rotor with unbalance-misalignment coupling faults: Theoretical analysis and experimental study , 2018, Mechanism and Machine Theory.

[12]  Y M Zhang,et al.  A points estimation and series approximation method for uncertainty analysis , 2009 .

[13]  J. Sinou,et al.  Stochastic non-linear response of a flexible rotor with local non-linearities , 2015 .

[14]  J. Sinou,et al.  Influence of Polynomial Chaos expansion order on an uncertain asymmetric rotor system response , 2015 .

[15]  Aijun Hu,et al.  Dynamic analysis and experiment investigation of a cracked dual-disc bearing-rotor system based on orbit morphological characteristics , 2020 .

[16]  Jean-Jacques Sinou,et al.  Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties , 2013, Commun. Nonlinear Sci. Numer. Simul..

[17]  Rui Yang,et al.  Experiments and Numerical Results for Varying Compliance Contact Resonance in a Rigid Rotor–Ball Bearing System , 2017 .

[18]  Xia Sheng,et al.  Calculation of ball bearing speed-varying stiffness , 2014 .

[19]  Mahesh D. Pandey,et al.  Probability density function for stochastic response of non-linear oscillation system under random excitation , 2010 .

[20]  J. Cooper,et al.  Prediction of Uncertain Frequency Response Function Bounds using Polynomial Chaos Expansion , 2010 .

[21]  Fulei Chu,et al.  Stability analysis of a rotor-bearing system with time-varying bearing stiffness due to finite number of balls and unbalanced force , 2013 .

[22]  Lei Hou,et al.  Periodic response analysis of a misaligned rotor system by harmonic balance method with alternating frequency/time domain technique , 2016 .

[23]  C. Nataraj,et al.  Nonlinear modeling and analysis of a rolling element bearing with a clearance , 2011 .

[24]  Hideyuki Tamura,et al.  On the Radial Vibration of Ball Bearings : Computer Simulation , 1985 .

[25]  D. S. Shah,et al.  Theoretical and experimental vibration studies of lubricated deep groove ball bearings having surface waviness on its races , 2018, Measurement.

[26]  Yimin Shao,et al.  A New Model for the Relationship Between Vibration Characteristics Caused by the Time-Varying Contact Stiffness of a Deep Groove Ball Bearing and Defect Sizes , 2015 .

[27]  S. P. Harsha,et al.  Analysis of Nonlinear Phenomena in High Speed Ball Bearings due to Radial Clearance and Unbalanced Rotor Effects , 2010 .

[28]  B. Wen,et al.  Reliability sensitivity for rotor-stator systems with rubbing , 2003 .

[29]  Carl Q. Howard,et al.  A nonlinear dynamic vibration model of defective bearings – The importance of modelling the finite size of rolling elements , 2015 .

[30]  Dipen S. Shah,et al.  A dynamic model for vibration studies of dry and lubricated deep groove ball bearings considering local defects on races , 2019, Measurement.

[31]  S. Harsha,et al.  Nonlinear Dynamic Response of a Rotor Bearing System Due to Surface Waviness , 2004 .

[32]  Zhang Yi-min,et al.  Reliability analysis of double random Duffing system , 2008 .

[33]  Benito M. Chen-Charpentier,et al.  Polynomial Chaos for random fractional order differential equations , 2014, Appl. Math. Comput..

[34]  S. P. Harsha,et al.  Nonlinear dynamic response of a balanced rotor supported by rolling element bearings due to radial internal clearance effect , 2006 .

[35]  Xiaojun Zhou,et al.  Dynamic analysis of double-row self-aligning ball bearings due to applied loads, internal clearance, surface waviness and number of balls , 2014 .

[36]  Jean-Jacques Sinou,et al.  Study of the non-linear dynamic response of a rotor system with faults and uncertainties , 2012 .

[37]  Ioannis Antoniadis,et al.  Effect of rotational speed fluctuations on the dynamic behaviour of rolling element bearings with radial clearances , 2006 .

[38]  Xuening Zhang,et al.  A comprehensive dynamic model to investigate the stability problems of the rotor–bearing system due to multiple excitations , 2016 .

[39]  P. K. Kankar,et al.  Stability analysis of a rotor bearing system due to surface waviness and number of balls , 2004 .

[40]  Katia Lucchesi Cavalca,et al.  An approach for including the stiffness and damping of elastohydrodynamic point contacts in deep groove ball bearing equilibrium models , 2014 .

[41]  Jose Mathew,et al.  A theoretical model to predict the effect of localized defect on vibrations associated with ball bearing , 2010 .

[42]  Rajendra Singh,et al.  Vibration transmission through rolling element bearings, part I: Bearing stiffness formulation , 1990 .

[43]  C. S. Sunnersjö Varying compliance vibrations of rolling bearings , 1978 .

[44]  Hongrui Cao,et al.  Vibration and stability analysis of rotor-bearing-pedestal system due to clearance fit , 2019, Mechanical Systems and Signal Processing.

[45]  Yushu Chen,et al.  Influencing factors of the dynamic hysteresis in varying compliance vibrations of a ball bearing , 2015 .