Transition from Traveling to Stationary Loads in a Hollow Cylinder
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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The equations for elastic strains due to internal loads moving with constant velocity are formulated in terms of Green-Lame potentials, using sinsz-ct and cossz-ct as separation factors in the Fourier integrals for the strains. The remaining factors involve Bessel functions and trigonometric functions of the polar angle. Solenoidal vector potentials are also derived in accord with the general theory. The dynamic stresses for a traveling load approach the equilibrium stresses as the velocity of travel approaches zero.