J. Mathew and R. J. Alfredson, The condition monitoring of rolling element bearings using vibration analysis, vol.106, pp.447-453, 1984.

R. B. Randall, Vibration-based condition monitoring: industrial, aerospace and automotive applications, 2011.

D. Mba and R. B. Rao, Development of acoustic emission technology for condition monitoring and diagnosis of rotating machines

, gearboxes, engines and rotating structures. The Shock and Vibration Digest, vol.38, pp.3-16, 2006.

G. E. Newell, Oil analysis cost-effective machine condition monitoring technique, Industrial Lubrication and Tribology, vol.51, issue.3, pp.119-124, 1999.

F. Rafieian, F. Girardin, Z. Liu, M. Thomas, and B. Hazel, Angular analysis of the cyclic impacting oscillations in a robotic grinding process, Special Issue on Instantaneous Angular Speed (IAS) Processing and Angular Applications, vol.44, pp.160-176, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00919926

M. Ritou, S. Garnier, B. Furet, and J. Y. Hascoet, Angular approach combined to mechanical model for tool breakage detection by eddy current sensors, Special Issue on Instantaneous Angular Speed (IAS) Processing and Angular Applications, vol.44, pp.211-220, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00862232

M. Lamraoui, M. Thomas, M. E. Badaoui, and F. Girardin, Indicators for monitoring chatter in milling based on instantaneous angular speeds, Special Issue on Instantaneous Angular Speed (IAS) Processing and Angular Applications, vol.44, pp.72-85, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00879748

L. Renaudin, F. Bonnardot, O. Musy, J. B. Doray, and D. Rémond, Natural roller bearing fault detection by angular measurement of true instantaneous angular speed, Mechanical Systems and Signal Processing, vol.24, issue.7, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00504788

Y. Li, F. Gu, G. Harris, A. Ball, N. Bennett et al., The measurement of instantaneous angular speed, Mechanical Systems and Signal Processing, vol.19, issue.4, pp.786-805, 2005.

M. E. Badaoui and F. Bonnardot, Impact of the non-uniform angular sampling on mechanical signals. Mechanical Systems and Signal Processing, Special Issue on Instantaneous Angular Speed (IAS) Processing and Angular Applications, vol.44, pp.199-210, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00945003

H. André, F. Girardin, A. Bourdon, J. Antoni, and D. Rémond, Precision of the ias monitoring system based on the elapsed time method in the spectral domain, Special Issue on Instantaneous Angular Speed (IAS) Processing and Angular Applications, vol.44, pp.14-30, 2014.

Q. Leclere, F. Girardin, and D. Rémond, An analysis of instantaneous angular speed measurement errors, Proceedings of Surveilliance, vol.7, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00905103

A. Palermo, K. Janssens, and L. Britte, Evaluation and improvement of accuracy in the instantaneous angular speed (ias) and torsional vibration measurement using zebra tapes, Advances in Condition Monitoring of Machinery in Non-Stationary Operations, vol.4, pp.43-56, 2016.

A. Bourdon, H. André, and D. Rémond, Introducing angularly periodic disturbances in dynamic models of rotating systems under nonstationary conditions, Special Issue on Instantaneous Angular Speed (IAS) Processing and Angular Applications, vol.44, pp.60-71, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00916259

A. Bourdon, S. Chesné, H. André, and D. Rémond, Reconstruction of angular speed variations in the angular domain to diagnose and quantify taper roller bearing outer race fault. Mechanical Systems and Signal Processing, vol.120, pp.1-15, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01903288

J. L. Gomez, A. Bourdon, H. André, and D. Rémond, Modelling deep groove ball bearing localized defects inducing instantaneous angular speed variations, Tribology International, 2016.

N. Tandon and A. Choudhury, An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect, Journal of Sound and Vibration, vol.205, issue.3, pp.275-292, 1997.

J. Sopanen and A. Mikkola, Dynamic model of a deep-groove ball bearing including localized and distributed defects, part 2: Implementation and results, Proc. Instn. Mech. Engrs., Part K: Journal of Multi-Body Dynamics, vol.217, pp.213-223, 2003.

N. Sawalhi and R. B. Randall, Simulating gear and bearing interactions in the presence of faults part. i. the combined gear bearing dynamic model and simulation of localized bearing faults, Mechanical Systems and Signal Processing, vol.22, pp.1924-1951, 2008.

D. S. Shah and V. N. Patel, A review of dynamic modeling and fault identifications methods for rolling element bearing, 2nd International Conference on Innovations in Automation and Mechatronics Engineering, vol.14, pp.447-456, 2014.

N. Sawalhi and R. B. Randall, Vibration response of spalled rolling element bearings: Observations, simulations and signal processing techniques to track the spall size, Mechanical Systems and Signal Processing, vol.25, issue.3, pp.846-870, 2011.

J. Liu, Y. Shao, and W. D. Zhu, 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, Journal of Tribology, vol.137, issue.3, p.31101, 2015.

C. Mishra, A. K. Samantaray, and G. Chakraborty, Ball bearing defect models: A study of simulated and experimental fault signatures, Journal of Sound and Vibration, vol.400, pp.86-112, 2017.

Y. W. Kwon and H. Bang, The finite element method using MATLAB, 2000.

H. Panzer, J. Hubele, R. Eid, and B. Lohmann, Generating a parametric finite element model of a 3d cantilever timoshenko beam using matlab, Tech. reports on aut. control, Inst. Aut. Control, 2009.

T. A. Harris, Rolling bearing analysis, 2001.

L. F. Shampine and M. W. Reichelt, The matlab ode suite, SIAM journal on scientific computing, vol.18, issue.1, pp.1-22, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01333731

N. Bachschmid, P. Pennacchi, and A. Vania, Identification of multiple faults in rotor systems, Journal of Sound and Vibration, vol.254, issue.2, pp.327-366, 2002.

J. Urresty, R. Atashkhooei, J. Riba, L. Romeral, and S. Royo, Shaft trajectory analysis in a partially demagnetized permanent-magnet synchronous motor, IEEE Transactions on Industrial Electronics, vol.60, issue.8, pp.3454-3461, 2013.

D. F. Shi, W. J. Wang, P. J. Unsworth, and L. S. Qu, Purification and feature extraction of shaft orbits for diagnosing large rotating machinery, Journal of Sound and Vibration, vol.279, issue.3-5, pp.581-600, 2005.

A. Dadouche, A. Rezaei, V. Wickramasinghe, W. Dmochowski, J. W. Bird et al., Sensitivity of air-coupled ultrasound and eddy current sensors to bearing fault detection, Tribology Transactions, vol.51, issue.3, pp.310-323, 2008.

J. Zhong, S. Zhong, Q. Zhang, S. Liu, Z. Peng et al., Real-time three-dimensional vibration monitoring of rotating shafts using constant-density sinusoidal fringe pattern as tri-axial sensor, Mechanical Systems and Signal Processing, vol.115, pp.132-146, 2019.

S. Braun, The synchronous (time domain) average revisited. Mechanical Systems and Signal Processing, vol.25, pp.1087-1102, 2011.

A. Fitzgibbon, M. Pilu, and R. B. Fisher, Direct least square fitting of ellipses, IEEE Transactions, vol.21, issue.5, pp.476-480, 1999.