Engineering Transactions, 8, 1, pp. 85-91, 1960

Pasmo Tarczowe pod Wpływem Działania Obciążenia Zewnętrznego

F. Szelagowski

Poland

The solution of the problem of an isotropic plate strip subject to the action of a load on the upper and lower edge. The solution reduces, in principle, to the determination of two holomorphic functions D(z) and F(z), figuring in the equations for the stresses X,, X, and Y, (Fig. 1) and the displacements u and U for any point of the region considred.
Using the relations between the value of the holomorphic function in the strip region and its real and imaginary part along the edges, the equations (10) and (13) for D(z) and F(z) are derived.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

G. W. KOLOSOV, Application of the Complex Variable to the Theory of Elasticity, Moskwa 1935.

F. SZELAGOWSKI, Zagadnienie płaskie teorii sprężystości w funkcjach zmiennych zespolonych, Arch. Mech. stos., 1951.

A. PALATINI, Sulla influenza del fondo nella propagazione delle onde dovute a perturbazioni locali, Rendiconti del Circolo Matematico di Palermo, t. 39, 1915.