FREE VIBRATION OF THIN-WALLED BEAMS

Abstract

Consistent and simple lumped mass matrices are formulated for the dynamic analysis of beams with arbitrary cross-section. The development is based on a general beam theory which includes the effect of flexural-torsion coupling, the constrained torsion warping and the shear centre location. Numerical tests are presented to demonstrate the importance of torsion warping constraints and the acceptable accuracy of the lumped mass matrix formulation.