A statistical index for monitoring tooth cracks in a gearbox

Fathy Ismail, Hugh R. Martin, Farag Omar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 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.

Original languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1413-1418
Number of pages6
ISBN (Electronic)9780791817186
DOIs
Publication statusPublished - 1995
Externally publishedYes
EventASME 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 - Boston, United States
Duration: Sep 17 1995Sep 20 1995

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume3A-1995

Conference

ConferenceASME 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
Country/TerritoryUnited States
CityBoston
Period9/17/959/20/95

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modelling and Simulation

Fingerprint

Dive into the research topics of 'A statistical index for monitoring tooth cracks in a gearbox'. Together they form a unique fingerprint.

Cite this