Dynamic behaviour of steel–concrete composite beams with different types of shear connectors. Part II: Modelling and comparison

• A Timoshenko beam model with damping and an uncertain boundary condition has been proposed.
• Damping is added to the Timoshenko model in the form of shear, damping, and viscous components.
• It is possible to model different shear connection systems simply using Timoshenko beam theory.
• The empirically determined boundary condition presents a good match to the experimental results.
• The boundary condition was found by COMAC and MAC independently of the frequency response.

In the first paper of these two companion papers an experimental study was undertaken to ascertain the dynamic behaviour of identical steel–concrete composite beams with differing shear connection systems. Two blind bolt connector types were used as shear connection systems in steel–concrete composite beams. Alongside these, a welded shear stud specimen, and a non-composite specimen were tested for comparison. In this, the second paper a Timoshenko beam model for steel–concrete composite beams is developed and is compared with the experimental results. An uncertain boundary condition is investigated using the Timoshenko beam model and an empirical relation between the displacements at the beam supports and the rotation of the cross section face is proposed.