Z teorii płyt ortotropowych
From the theory of orthotropic plates
The paper brings a transformation reducing the quasi-biharmonic equation of the surface of deflection of an orthotropic plate to two partial differential equations of the second order, one of which is harmonic. Such a way of expressing the equation of the surface of deflection of an orthotropic plate permits the use of the two-stage method as used for isotropic plates, and which consists in a successive solution of two partial differential equations of the second order instead of one equation of the fourth order.
References
M.T. Huber, Teoria sprężystości, t. 2, Kraków 1950.
H. Marcus, Die Theorie elastischer Gewebe und ihre Anwendung auf die Berechnung biegsamer Platten, Wrocław 1921.
W. Nowacki, Pasmo płytowe ortotropowe, Arch. Mech. Stos., t. 3, 3-4, Gdańsk 1951.
H. Marcus, Die vereinfachte Berechnung biegsamer Platten, Berlin 1929.