Difference between revisions of "Plate buckling"

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= Eigenvalue methods for computing buckling loads =
= Eigenvalue methods for computing buckling loads =
Plate and shell buckling loads are classically computed by solving the eigenvalue problem <math> \mathbf{K} - \lambda \mathbf{G} </math>
Plate and shell buckling loads are classically computed by solving the eigenvalue problem <math> \mathbf{K} - \lambda \mathbf{G}(\mathbf{N}) </math> where <math> \mathbf{K}</math> is the shell's/plate's stiffness and <math>  \mathbf{G}(\mathbf{N}) </math> is its geometric stiffness, dependent on the in-plane (membrane) "stresses", and <math> \lambda </math> is the proportional load factor.

Revision as of 02:51, 25 May 2022

Eigenvalue methods for computing buckling loads

Plate and shell buckling loads are classically computed by solving the eigenvalue problem where is the shell's/plate's stiffness and is its geometric stiffness, dependent on the in-plane (membrane) "stresses", and is the proportional load factor.