Disk theory
The pulley theory is part of strength engineering or technical mechanics and deals with the calculation of the stresses and deformations of pulleys . Panes are understood to mean flat surface structures that are only loaded by forces that act in their plane ( panes stress state ).
In contrast to this, flat surface structures that are loaded solely by forces orthogonal to their plane are called plates (see also plate theory ).
The Airy stress function is used as an aid for the analytical calculation of the disk stress state . It is a function of the position coordinates of the disk center plane. Its bipotential must be zero everywhere and it must meet the boundary conditions.
For practical calculations, numerical methods are usually used, e.g. B. the finite element method or the finite difference method .
The disk theory is applied z. B. in structural engineering , shipbuilding and ice mechanics .
See also
literature
- Bazaar, Y .; Krätzig, WB (1985): Mechanics of planar structures. Vieweg, Braunschweig, Wiesbaden
- Karl Girkmann (1946): Surface structures: Introduction to the elastostatics of panes, plates, shells and folded structures , Springer-Verlag, Vienna, 6th edition 1986
- Zienkiewicz, OC (1977): The Finite Element Method in Engineering Science. McGraw-Hill, London
- Karl-Eugen Kurrer : History of Structural Analysis. In search of balance . Ernst & Sohn , Berlin 2016, p. 715ff., P. 755 u. Pp. 942f., ISBN 978-3-433-03134-6 .