Forced vibration analysis of damped beam structures with composite cross-section using Timoshenko beam element

Abstract

A damped Timoshenko beam element is introduced for the DOF-efficient forced vibration analysis of beam-like structures coated with viscoelastic damping layers. The rotary inertia as well as the shear deformation is considered, and the damping effect of viscoelastic layers is modeled as an imaginary loss factor in the complex shear modulus. A complex composite cross-section of structures is replaced with a homogeneous one by means of the transformed section approach in order to construct an equivalent single-layer finite element model capable of employing the standard C 0-continuity basis functions. The numerical reliability and the DOF-efficiency are explored through the comparative numerical experiments.

Dynamic analysis and model test on steel-concrete composite beams under moving loads

“…Girhammar et al (2009) discussed the partial differential equations and general solutions for the deflection and internal actions and the pertaining consistent boundary conditions for composite Euler-Bernoulli members with interlayer slip subjected to general dynamic loading. Considering the rotary inertia and the shear deformation, Won et al (2012) studied a damped Timoshenko beam element for the DOF-efficient forced vibration analysis of beam-like structures coated with viscoelastic damping layers, in which the complex composite section is replaced with a homogeneous one by means of the transformed section approach.…”