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RESEARCH PAPERS

A Stochastic Model for Predicting the Velocity Distribution of Warhead Fragments

[+] Author and Article Information
E. A. Cohen

Applied Mathematics Branch, Code R44, Naval Surface Weapons Center, White Oak Laboratory, Sliver Spring, Md. 20910

J. Appl. Mech 47(4), 913-918 (Dec 01, 1980) (6 pages) doi:10.1115/1.3153813 History: Received October 01, 1978; Revised December 01, 1979; Online July 21, 2009

Abstract

It has been the practice of those who study the velocity of fragments from a warhead to average the velocity of the fragment over its path rather than to examine in greater detail the underlying stochastic process. In this paper we present a more careful analysis of the pertinent statistical process by taking into account the correlations that exist along the trajectory of the fragment. One assumes that the fragments generally tumble uniformly and that drag coefficient depends only on presented area. This seems to be a good approximation in the supersonic regime (from Mach 3 to Mach 6, for example). A brief discussion of the case when drag, lift, and gravity effects are all assumed to be present is given. Also, we present a new family of “multivariate uniform distributions” geared to the physics of the problem.

Copyright © 1980 by ASME
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