Families of components, and systems, exposed to a compound poisson damage process
Esary, James Daniel
Marshall, A. W.
MetadataShow full item record
A fairly common failure model in a wide variety of contexts is a cumulative damage process, in which shocks occur randomly in time and associated with each shock there is a random amount of damage which adds to previously incurred damage until a breaking threshold is reached. The multivariate life distributions that are induced when several "components," each with its own breaking threshold, are exposed to the same cumulative damage process are of interest in their own right, and are important examples in the general study of multivariate life distributions. This paper is a summary of some results about the very special, but central, case in which the cumulative damage process is a compound Poisson process. It is focused on the multivariate life distributions that arise when the component breaking thresholds are random and have a Marshall-Olkin multivariate exponential distribution. There are two relevant multivariate life distributions that can be derived, an intermediate distribution for the number of shocks (cycles) to failure and the final distribution for the actual times to failure. The results have application to the life distribution of a coherent system whose components are exposed to the damage process. (Author)
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
NPS Report NumberNPS55EY73071A
Showing items related by title, author, creator and subject.
Esary, James Daniel; Marshall, A. W. (Monterey, California. Naval Postgraduate School, 1973-03); NPS55EY73041ATwo (narrow and wide) multivariate geometric analogues of the Marshall-Olkin multivariate exponetial distribution are derived from the following cumulative damage model. A set of devices is exposed to a common damage ...
Lukens, Richard Walter (Monterey, California. Naval Postgraduate School, 1983-06);A principal mode of failure of structural components in mechanical systems is fatigue. One method of predicting the probability of fatigue failure of a structural component is to determine the probability that the calculated ...
Charlton, Joe R (1997);This report is an engineering study of the field performance of open span low-rise steel frame structures that have been subjected to extreme wind events such as hurricanes and tornadoes. The wind velocities in these events ...