On the Motion of Rods with Initial Space Curvature.
Abstract
Previous formulations and models of the vibrations of gun tubes have been based on the assumption of an axisymmetric distribution of material, i.e. a perfectly made albeit curved gun tube. This report containes a new formulation for the mathematical problem related to gun tube vibrations with this constraint removed: the formulation admits non-colinear centroidal and bore axes, reflecting the actual case with production gun tubes. These factors may play a significant role in jump inherent in direct fire weapons including aspects related to fleet zero or other zeroing procedures in tank guns. The general large deformation equations of motion are derived for a linearly elastic rod with initial space curvature. The equations allow examination of such effects as transverse shear deformation, rotatory inertia, initial twist, variable cross section size and shape, and variable curvature and torsion on the motion and deformation of the rod. A linearized engineering theory is developed from the general results and equations for several special cases are formulated. The detailed mathematical approach is discussed. Keywords: Tube flexure; Gun tube vibrations; and elasticity.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1985
- Accession Number
- ADA157637
Entities
People
- H. B. Kingsbury
Organizations
- Ballistic Research Laboratory