A one-dimensional model for computing forced nonlinear vibration of thin-walled composite beams with open variable cross-sections

摘要

This paper presents a one-dimensional finite element (FE) model for computing the nonlinear dynamic behavior of thin-walled composite beams with open variable cross-sections under arbitrary external dynamic loading. We propose a one-dimensional model of beams that takes into account the large torsion and flexion-torsion coupling without any assumption on the torsion angle amplitude in the numerical analysis. This model uses a kinematics which brings up naturally all Wagner's coefficients and others. The resolution algorithm, proposed for this model, is a special case of an efficient high order implicit algorithms (HOIA) family based on a time discretization, on the introduction of an artificial parameter and the use of the Asymptotic Numerical Method (ANM). There are few studies about one-dimensional models for computing the nonlinear dynamic behavior of these types of structures what can only be done by shell or 3D models within existing in commercial codes.