Abstract
In this paper, we present the study of an asymptotic linear one-dimensional model for thin-walled beams with open strongly curved cross-section, which is different from the classical Vlassov model. After recalling the main steps of the asymptotic procedure leading to the equilibrium equations of the thin-walled beam model, an analytical resolution of the twist equation is performed. Then comparisons with experimental measurements and with the Vlassov model are carried out. The relevance of the asymptotic thin-walled beam model presented is put in a prominent position.
Notes
1. Equation (12) must be completed with boundary conditions (18) and (19) when a torque is applied at one extremity of the beam, the other one being clamped.