The B2000 linear buckling processor

Report (1988)

Authors

E. Riks

S. Merazzi

A. de Boer

Finite element method Eigenvalues Algorithms Structural analysis Equilibrium equations Matrix methods Wing panels Ribs (supports) Elastic buckling Bifurcation (mathematics)

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Published Date

20-10-1988

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NLR-TR 88150 U

Abstract

In many practical problems of plate and shell buckling, the pre-buckling state is linear and can be obtained from the linearized equations of elasticity. The computation of the buckling load and mode in such cases correponds to a linear eigenvalue problem that can easily be formulated and implemented in a finite element code. This report describes a procedure for buckling analysis that is based on these simplified initial conditions. The algorithm is useful as a tool for preliminary studies. It can also be used as a basis for post-buckling analysis with continuation methods.

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