TY - GEN
T1 - A statistical index for monitoring tooth cracks in a gearbox
AU - Ismail, Fathy
AU - Martin, Hugh R.
AU - Omar, Farag
N1 - Funding Information:
This research was sponsored by the Natural Sciences and Engineering Research Council of Canada.
Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - This paper is concerned with detecting and monitoring the growth of a tooth root crack in a gearbox. It uses the reciprocal of the Kurtosis of the beta distribution 1/k for each tooth period, as the damage indicator. A general equation to generate the statistical moments strictly in terms of the a and P parameters of the beta function is developed. To monitor the growth of the crack, a new index, called the "Kurtosis Index", is formulated from 1/k's of all the teeth. This index correlates well with the size of the crack, and it shows that small cracks can be detected.
AB - This paper is concerned with detecting and monitoring the growth of a tooth root crack in a gearbox. It uses the reciprocal of the Kurtosis of the beta distribution 1/k for each tooth period, as the damage indicator. A general equation to generate the statistical moments strictly in terms of the a and P parameters of the beta function is developed. To monitor the growth of the crack, a new index, called the "Kurtosis Index", is formulated from 1/k's of all the teeth. This index correlates well with the size of the crack, and it shows that small cracks can be detected.
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U2 - 10.1115/DETC1995-0389
DO - 10.1115/DETC1995-0389
M3 - Conference contribution
AN - SCOPUS:85103456903
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 1413
EP - 1418
BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Y2 - 17 September 1995 through 20 September 1995
ER -