ON THE MOTION OF ANCHOR CHAINS
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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The motion of an anchor chain under the influence of gravitational and frictional forces is considered. An equation of motion is obtained which accounts for the influence of the moment of inertia of the windlass and the frictional moment acting on the axis of the windlass. The solution is expressible in the elliptical functions of Weierstrass. The absence of frictional forces corresponds to the equianharmonic case of the Weierstrass function. All real cases of motion of the anchor chain are included between this case and the case of constant acceleration a g3. They can be found by linear interpolation with respect to the parameter expressing the ratio of the friction forces and the accelerating forces.
- Marine Engineering