Stresses in a Gun Tube Produced by Internal Pressure and Shear.

摘要

The stresses in an infinite, hollow, elastic cylinder due to discontinuous internal pressure or shear are expressed in terms of Fourier integrals and evaluated by the theory of residues. The integrals are analytic functions of the variable of integration are expressed in terms of sines, cosines, and Bessel functions. The required Bessel functions are calculated from a subroutine developed at BRL. Sample calculations for a cylinder with an inner radius of 1.00 and an outer radius of 1.25 are presented. Residue series give very accurate results in the interval .01 = or < 10, where z is the axial distance from the discontinuity. When 0 = or < 0.01 the series converge too slowly to be useful, and quadratures may be the preferred method of evaluating the Fourier integrals in this small interval.