Abstract

In this paper, the tension of a very fine string revolving at a high speed is calculated numerically. The string formed around a rotating cylinder is reeled in by another cylinder. When the governing equation has no air resistance term, it is calculated analytically with an elliptic function. Here, the equation consists of the terms of tension, inertial force, Coriolis' force, centrifugal force and force of air resistance. It is calculated by using the Runge-Kutta method and as a result, the shape of the string, tension distribution and the limit revolution number, where the maximum of tension is equal to the tensile strength, are obtained.

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