Finite element method for stability and vibration analyses of thin-walled beams with arbitrary cross-section
Résumé
In this paper, a generalized numerical and theoretical method is presented for the free vibration and stability analyses of tapered thin-walled beams with non-symmetric cross-section. The total potential energy is derived for an elastic behavior from the strain energy, the kinetic energy and work of the applied loads. Free vibration is considered in presence of harmonic excitations. The effects of the initial stresses and load eccentricities are also considered in the study. The governing equilibrium equations, motion equations and the associated boundary conditions are determined from the stationary condition.
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