ON THE APPLICATION OF THE BETA-DISTRIBUTION TO GEAR DAMAGE ANALYSIS

被引：14

作者：

OGUAMANAM, DCD ^{[1
]}

MARTIN, HR ^{[1
]}

HUISSOON, JP ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT MECH ENGN,WATERLOO,ON N2L 3G1,CANADA

来源：

APPLIED ACOUSTICS | 1995年 / 45卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0003-682X(95)00001-P

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The kurtosis of the beta distribution has been reported as a good indicator of the condition of a gear. The characteristic, or shape, parameters are usually estimated by the method of moments (MM). In this paper, the parameters are estimated using both the method of moments and maximum likelihood estimation (MLE) techniques. It is observed that the MLE technique provides better detection performance. Although the MLE technique requires more processing time, as compared to the MM technique, it is still within the limits for on-line monitoring.

引用

页码：247 / 261

页数：15

共 9 条

[1]

Shipley, Gear failures, Machine Design, 39, pp. 152-162, (1967)

[2]

Martin, Ismail, Sakuta, New statistical approach for gear damage detection, 2nd IMMDC Conference, pp. 329-334, (1990)

[3]

Whitehouse, Beta functions for surface typologies?, Annals of the CIRP, 27, pp. 491-497, (1978)

[4]

Milton, Arnold, Introduction to Probability and Statistics: Principles and Applications for Engineering and the Computing Sciences, (1990)

[5]

Bartelmus, Application of some statistical estimators of the vibration signal as criteria of assessment of mesh state, Condition Monitoring '84, pp. 256-265, (1984)

[6]

Benat, Piersol, Random Data: Analysis and Measurement Procedures, (1985)

[7]

Beckman, Tietjen, Maximum likelihood estimate for the beta distribution, Journal of Statistical Computation and Simulation, 7, pp. 253-258, (1978)

[8]

Gnanadesikan, Pinkham, Hughes, Maximum Likelihood Estimation of the Parameters of the Beta Distribution for Smallest Order Statistics, 9, pp. 607-620, (1967)

[9]

Chapra, Canale, Numerical Methods for Engineers, (1988)

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