Applied Mathematics and Mechanics

, Volume 26, Issue 9, pp 1181–1187

# Analysis of dynamical buckling and post buckling for beams by finite segment method

Article

## Abstract

Based on the multi-rigid body discretization model, namely, finite segment model, a chain multi-rigid-body-hinge-spring system model of a beam was presented, then a nonlinear parametrically exacted vibration equation of multi-degrees of freedom system was established using the coordination transformation method, and its resonance fields were derived by the restriction parameter method, that is, the dynamical buckling analysis of the beam. Because the deformation of a beam is not restricted by the discrete model and dynamic equation, the post buckling analysis can be done in above math model. The numerical solutions of a few examples were obtained by direct integrated method, which shows that the mechanical and math model gotten is correct.

### Key words

beam finite segment method dynamic buckling parametrically exacted vibration post buckling

O345

### 2000 Mathematics Subject Classification

74D10 74H55 74K20 74S30

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