Efficient Solution of the Long-Rod Penetration Equations of Alekseevskii-Tate

Abstract

The exact solution to the long-rod penetration equations is revisited, in search of improvements to the solution efficiency, while simultaneously enhancing the understanding of the physical parameters that drive the solution. Substantial improvements are offered in these areas. The presentation of the solution is simplified in a way that more tightly unifies the special and general-case solutions to the problem. Added computational efficiencies are obtained by expressing the general-case solution for penetration and implicit time in terms of a series of Bessel functions. Other extensions and efficiencies are addressed, as well.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2002
Accession Number
ADA408548

Entities

People

  • Steven B. Segletes
  • William P. Waters

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Efficiency
  • Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numbers
  • Numerical Integration
  • Polynomials
  • Power Series
  • Precision
  • Residuals
  • Square Roots
  • Terminals
  • Test And Evaluation

Readers

  • Calculus or Mathematical Analysis
  • Explosive Engineering.
  • Systems Analysis and Design