Browse Publications Technical Papers 2002-01-0701

Two Probability Distributions of Interest in Balancing and Runout Problems 2002-01-0701

The inability of the normal probability distribution to adequately model the residual (or “outgoing”) imbalance magnitude of an in-plant vehicle driveline balancing process is discussed. Based on the observation that the orthogonal components of the residual imbalance do appear to follow a normal distribution, the Rayleigh probability distribution is derived as a model of the residual imbalance magnitude, from first principles. The Rayleigh distribution is a special case of the Weibull distribution. Re-definitions of the standard process capability indicators, Cp and Cpk, to suit the Rayleigh distribution are proposed, and the results of the subject driveline balancing process presented.
Another probability distribution is derived to describe the best-possible output for a balancing process using a given set of equally-spaced balance correction masses and mass placement options. This second distribution is named the “Shark Fin” distribution.


Subscribers can view annotate, and download all of SAE's content. Learn More »


Members save up to 17% off list price.
Login to see discount.
Special Offer: Download multiple Technical Papers each year? TechSelect is a cost-effective subscription option to select and download 12-100 full-text Technical Papers per year. Find more information here.
We also recommend:

Life Test Sample Size Selection Under a Weibull Failure Model


View Details