The cubic mean (written as ) is a specific instance of the generalized mean with .

Definition

For real numbers the cubic mean is defined as:

   [1][2][3]

For example, the cubic mean of two numbers is:

.

Applications

It is used for predicting the life expectancy of machine parts.[3][4] [5] [6]

References

  1. ^ "calculation formulas" (PDF).
  2. ^ Svarovski, Ladislav (31 October 2000). Solid-Liquid Separation. ISBN 9780080541440. Retrieved 2015-01-20.
  3. ^ a b "Equivalent Load". Creative Motion Control. Archived from the original on 2015-01-20. Retrieved 2015-01-19.
  4. ^ "ISO 4301-1-1986 Cranes and lifting appliances; Classification; Part 1 : General". www.iso.org. 1986. also available from "freestd.us". Retrieved 2015-01-20.
  5. ^ Babu & Sridhar (2010). Design of Machine Elements. ISBN 9780070672840. Retrieved 2015-01-20.
  6. ^ Harris, Tedric A.; Kotzalas, Michael N. (9 October 2006). Essential Concepts of Bearing Technology, Fifth Edition. ISBN 9781420006599. Retrieved 2015-01-20.