Statistical index for monitoring tooth cracks in a gearbox

Fathy Ismail; Hugh R. Martin; Farag Omar

Statistical index for monitoring tooth cracks in a gearbox

Fathy Ismail, Hugh R. Martin, Farag Omar

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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 language	English
Title of host publication	15th Biennial Conference on Mechanical Vibration and Noise
Pages	1413-1418
Number of pages	6
Edition	3 Pt A/2
Publication status	Published - 1995
Externally published	Yes
Event	Proceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA Duration: Sept 17 1995 → Sept 20 1995

Publication series

Name	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number	3 Pt A/2
Volume	84

Other

Other	Proceedings of the 1995 ASME Design Engineering Technical Conference
City	Boston, MA, USA
Period	9/17/95 → 9/20/95

ASJC Scopus subject areas

General Engineering

Cite this

Statistical index for monitoring tooth cracks in a gearbox. / Ismail, Fathy; Martin, Hugh R.; Omar, Farag.
15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/2. ed. 1995. p. 1413-1418 (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 84, No. 3 Pt A/2).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Ismail, F, Martin, HR & Omar, F 1995, Statistical index for monitoring tooth cracks in a gearbox. in 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/2 edn, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, no. 3 Pt A/2, vol. 84, pp. 1413-1418, Proceedings of the 1995 ASME Design Engineering Technical Conference, Boston, MA, USA, 9/17/95.

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Statistical index for monitoring tooth cracks in a gearbox

Abstract

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ASJC Scopus subject areas

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