Bending and torsional vibration control of composite beams through intelligent constrained-layer damping treatments

This paper aims to develop a mathematical model to predict whether or not intelligent constrained-layer (ICL) damping treatments could simultaneously reduce bending and torsional vibrations of composite beams having bending-torsion coupling stiffness. The ICL composite-beam model is obtained by integrating the existing ICL composite-plate model proposed by Shen (1994). When the plate width (along the x-axis) is much smaller than the plate length (along the y-axis), integration of the ICL composite-plate equations and linearization of displacement fields with respect to x will lead to a set of equations that couple bending, torsional, and axial vibrations of a composite beam. The equations of motion and associated boundary conditions are normalized and rearranged in a state-space matrix form, and the vibration response is predicted through the transfer function approach developed by Yang-Tan (1992). A numerical example is illustrated on a composite beam with bending-torsion coupling stiffness.