An expression for the added moment of inertia of a rotating ship section, in terms of the coefficients of the Laurent series of the function which maps the given section into a circle, has been derived. The method is applied to the two-parameter family of Lewis forms and the results are presented as a family of curves which gives the coefficient of the added moment of inertia as a function of the thickness ratio and the section-area coefficient of a form. A second application, to a square section, indicates that a sufficiently accurate value of the added moment of inertia can be obtained with little arithmetical work even in a case where the Laurent series is an infinite one.

Keywords:
two-dimensional section, mapping function, Lewis, free surface, rotation, coefficient, exterior, inertia, transformation, sufficiently accurate value
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1979. The Society of Naval Architects and Marine Engineers
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