Experimental Approach for Estimating Mesh Stiffness in Faulty States of Rotating Gear



Jungho Park Jong moon Ha Hyunseok Oh Byeng D. Youn Sungho Park Joo-Ho Choi


Gear mesh stiffness (GMS) is a principal factor in understanding a dynamic behavior and estimating a health condition of the gear system. Lots of methodologies have been proposed to estimate GMS in normal and abnormal states. However, most of them are performed in an analytical way, therefore experimental studies are limited. Moreover, previous experimental studies have limitations that they were only performed either in a static state or for a normal gear. In this study, we develop a methodology to estimate GMS of a rotating gear in faulty states, root crack and spalling. In the procedures, we employ transmission error (TE) which is defined as the difference between rotation of input and output gear. The methodology proposes the concepts of relative stiffness to remove the effect of low frequency component from shaft motion and variability of individual teeth, and corrected stiffness to exactly estimate GMS of cracked gear. Meanwhile, the study proposes a differentiating algorithm of gear faults between root crack and spalling considering the failure mechanisms of each fault. The developed algorithm is validated measuring the TE from a test-bed of a spur gear. Consequently, the algorithm has differentiated the gear in root crack and surface failure, and estimated the GMS of the gear in faulty states.

How to Cite

Park, J. ., moon Ha, J., Oh, H. ., D. Youn, B. ., Park, S. ., & Choi, J.-H. . (2015). Experimental Approach for Estimating Mesh Stiffness in Faulty States of Rotating Gear. Annual Conference of the PHM Society, 7(1). https://doi.org/10.36001/phmconf.2015.v7i1.2654
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spur gear, crack, spall, gear mesh stiffness

Chaari, F., Baccar, W., Abbes, M., & Haddar, M. (2008). Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission. European Journal of Mechanics - A/Solids, 27 (4), 691-705

Chaari, F., Fakhfakh, T, & Haddar, M. (2009). Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness. European Journal of Mechanics - A/Solids, 28 (3), 461-468

Chen, Z. & Shao, Y. (2013). Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack. Mechanism and Machine Theory, 62, 63-74

Curà, F., & Andrea M. (2013). Experimental procedure for the evaluation of tooth stiffness in spline coupling including angular misalignment. Mechanical Systems and Signal Processing, 40 (2), 545-555.

Endo, H., Randall, R. B., & Gosselin, C. (2009). Differential diagnosis of spall vs. cracks in the gear tooth fillet region: Experimental validation. Mechanical Systems and Signal Processing, 23(3), 636-651.

Fan, X., & Zuo, M. J. (2006). Gearbox fault detection using Hilbert and wavelet packet transform. Mechanical Systems and Signal Processing, 20(4), 966-982.

Inalpolat, M., Handschuh, M. & Kahraman, A. (2015). Influence of indexing errors on dynamic response of spur gear. Mechanical Systems and Signal Processing, 60,

Kahraman, A., & Blankenship, G. W. (1999). Effect of involute tip relief on dynamic response of spur gear pairs. Journal of mechanical design, 121 (2), 313-315.

Kiekbusch, T., Sappok, D., Sauer, B., & Howard, I. (2011). Calculation of the combined torsional mesh stiffness of spur gears with two-and three-dimensional parametrical FE models.Strojniški vestnik-Journal of Mechanical Engineering, 57(11), 810-818.

Li, S. (2007). Effects of machining errors, assembly errors and tooth modifications on loading capacity, load-sharing ratio and transmission error of a pair of spur gears. Mechanism and Machine Theory, 42 (6), 698-726

Liang, X., Zuo, M. J., & Pandey, M. (2014). Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set. Mechanism and Machine Theory, 76, 20-38

Munro, R. G., Palmer, D., & Morrish, L. (2001). An experimental method to measure gear tooth stiffness throughout and beyond the path of contact. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 215 (7), 793-803.

Pandya, Y. & Parey, A. (2013). Simulation of crack propagation in spur gear tooth for different gear parameter and its influence on mesh stiffness. Engineering Failure Analysis, 30, 124-137

Remond, D., & Mahfoudh, J. (2005). From transmission error measurements to angular sampling in rotating machines with discrete geometry. Shock and vibration, 12(2), 149- 161.

Tan, C. K., Irving, P., & Mba, D. (2007). A comparative experimental study on the diagnostic and prognostic capabilities of acoustics emission, vibration and spectrometric oil analysis for spur gears. Mechanical Systems and Signal Processing, 21(1), 208-233

Wu, S., Zuo, M. J., & Parey, A. (2008). Simulation of spur gear dynamics and estimation of fault growth. Journal of Sound and Vibration, 317 (3), 608-624.

Yesilyurt, I., Fengshou G., & Andrew D. B. (2003). Gear tooth stiffness reduction measurement using modal analysis and its use in wear fault severity assessment of spur gears. NDT & E International, 36 (5), 357-372.
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