Abstract
In order to find the limiting reduction of the axial stress by using the multi-stepped pipe string, a pipe string with an exponentially increasing diameter toward the upper part is taken into consideration. Then, the longitudinal vibration as well as the axial stress caused in the string by the ship's heave-motion are theoretically analyzed. The results obtained are compared with those for the uniform pipe string which has the same mass as that of the non-uniform pipe string. Its optimum configuration is found in various cases by equalizing the maximum axial stresses in any parts of the string, and this procedure leads to minimization of the axial stress produced in the string. The results of this study indicate that a non-uniform pipe string with larger diameter at the upper part could reduce the axial stress induced in the pipe string by about 35% as compared with that of the uniform pipe string.
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