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Plates arePlate bucklingBuckling thin-walled structures. In this respect, attention must be paid to their buckling behavior. Accordingly, this chapter is devoted to the analytical treatment of the buckling behavior of plates within the framework of the Kirchhoff plate theory. First, all necessary basic equations describing the buckling of orthotropic plates are provided. Then, the Navier solution is discussed, i.e. the exact analytical determination of the buckling load of rectangular simply supported orthotropic plates under uniaxial and biaxial loading. The chapter concludes with the energetic treatment of plate buckling problems and describes as a simple method the so-called Rayleigh quotient and as a more universally applicable method the Ritz method.
Plates arePlate bucklingBuckling thin-walled structures. In this respect, attention must be paid to their buckling behavior. Accordingly, this chapter is devoted to the analytical treatment of the buckling behavior of plates within the framework of the Kirchhoff plate theory. First, all necessary basic equations describing the buckling of orthotropic plates are provided. Then, the Navier solution is discussed, i.e. the exact analytical determination of the buckling load of rectangular simply supported orthotropic plates under uniaxial and biaxial loading. The chapter concludes with the energetic treatment of plate buckling problems and describes as a simple method the so-called Rayleigh quotient and as a more universally applicable method the Ritz method.
Plate Buckling
Mittelstedt, Christian (Autor:in)
Theory of Plates and Shells ; Kapitel: 11 ; 391-413
18.05.2023
23 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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