Engineering Transactions, 5, 4, pp. 549-569, 1957

Rozwiązanie Pewnego Typu Tarczy Nieograniczonej

K. Wysiatycki

A thin elastic cantilever slice is considered. The edges are straight lines and a circle. Using bipolar coordinates, the Airy function is found by separating variables and using the boundary conditions for a given function and its normal derivative at the edge. Solutions in closed forms are obtained for a few types of load often encountered in practice. For an arbitrary load, the solution is obtained by expanding the
Airy function in a series of biharmonic polynomials. The stress distribution is illustrated by a numerical example.

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