Vibration of composite thin-walled beams with variable open cross section by a high order implicit algorithm

Abstract

In this work, we study the forced nonlinear vibrations with large amplitude and large torsion of composite thinwalled beams with open variable cross sections under external dynamic loads using a high order implicit algorithm. The used algorithm is based on the temporal and spatial discretizations, the homtopoy transformation, Taylor series expansion and the continuation technique. A 3D beam element with two nodes and seven degrees of freedom per node is adopted. The obtained results are compared with those computed by the industriel Abaqus code.

Keywords

• Composite thin-walled beam
• open variable cross section
• large displacement
• large torsion
• forced nonlinear vibrations
• Newmark implicit scheme
• Taylor series
• homotopy transformation.