A NUMERICAL METHOD FOR EVALUATING STRESSES IN GUN TUBES
ARMY WEAPONS COMMAND ROCK ISLAND IL
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The stress distribution in gun tubes is generally computed by using the classical Lame solution for thick walled cylinders. Thermal stresses are calculated for temperature distributions that are assumed to be logarithmic. This approach does not allow for consideration of the effects of changes in cross section nor for the condition that the internal pressure is applied over a limited and changing region of the tube. Neither does it permit the consideration of transient temperature distribution that may occur in a firing cycle. The effects of non-uniform conditions along the axis and a transient temperature distribution changes the problem from the classical one dimensional problem of Lame to a problem in two dimensions that does not in general have an analytical solution. In this paper, a direct solution for the system of difference equations is used. Special handling of the coefficient matrix in the computation routine makes possible the handling of very large systems of equations.
- Numerical Mathematics
- Ammunition and Explosives