Stationary and Traveling Loads in a Hollow Cylinder

摘要

This report deals with the theory of elastic stresses in thick-walled cylinders and the technology of shell-pushing tests. Investigation of non-metallic rotating bands at BRL led to renewed interest in this area. We found that we were unable to interpolate in the tables cited above due to their limited accuracy; moreover the value of Poisson's ratio used in the computations was not appropriate for modern gun steels. An independent investigation was initiated, using residue theory in place of Fourier series. Since the eigenvalues were complex, we required a subroutine for Bessel functions of integral order and complex argument. The required subroutine was developed at BRL. A Gauss continued fraction was used to reduce round off errors inherent in series calculations. A code giving accurate stresses on the outside of the gun tube was developed. This code was used to calculate strains in a highly instrumented gun tube. The appropriate value of Poisson's ratio and Young's modulus was obtained from the Benet Laboratory. Agreement between theory and measurement was good at low velocities, but systematic deviations were observed at high velocities.