The flexural-torsional vibration behavior of thin-walled beams with generalized open section is treated using the finite element method. The developed beam element is based on 2 nodes and 7 seven degrees of freedom per node with warping taken as an independent degree of freedom. In the model, effects of rotational inertial kinematic terms are included. The presence of elastic and viscous springs is considered. The model is validated by comparison to original analytical solutions carried out, to test setup in beam vibration and to other benchmark solutions in the literature. Moreover, some tests set up are built. Vibration tests have been investigated on beams with arbitrary cross sections. The flexural torsional vibration modes have been researched in the range 1-800 Hz. Applications in free vibration, forced vibration under constant and variable force excitation are presented. Finally, the effects of elastic springs and dashpot on the dynamic behavior of braced structures and vibration control have been well studied.