Abstract
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
[1] M.T. Huber, Teoria sprężystości, t. 2, Kraków 1950.
[2] H. Marcus, Die Theorie elastischer Gewebe und ihre Anwendung auf die Berechnung biegsamer Platten, Wrocław 1921.
[3] W. Nowacki, Pasmo płytowe ortotropowe, Arch. Mech. Stos., t. 3, 3-4, Gdańsk 1951.
[4] H. Marcus, Die vereinfachte Berechnung biegsamer Platten, Berlin 1929.
[2] H. Marcus, Die Theorie elastischer Gewebe und ihre Anwendung auf die Berechnung biegsamer Platten, Wrocław 1921.
[3] W. Nowacki, Pasmo płytowe ortotropowe, Arch. Mech. Stos., t. 3, 3-4, Gdańsk 1951.
[4] H. Marcus, Die vereinfachte Berechnung biegsamer Platten, Berlin 1929.
