Statistical index for monitoring tooth cracks in a gearbox

Fathy Ismail, Hugh R. Martin, Farag Omar

Research output: Chapter in Book/Report/Conference proceedingChapter

10 Citations (Scopus)


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 α and β 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.

Original languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
Number of pages6
Edition3 Pt A/2
Publication statusPublished - 1995
Externally publishedYes
EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
Duration: Sept 17 1995Sept 20 1995

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number3 Pt A/2


OtherProceedings of the 1995 ASME Design Engineering Technical Conference
CityBoston, MA, USA

ASJC Scopus subject areas

  • General Engineering


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