A new transfer matrix method for dynamic analysis of a circular cylindrical shell treated with active constrained layer damping

TLDR: In this paper, a transfer matrix method was proposed for the dynamic analysis of cylindrical shells with active constrained layer damping (ACLD), which is more efficient to restrain the ground motion excitations when ACLD is divided into sub-blocks along circumference direction and the control voltage is applied in the way of depressing the dominant modes excited by external force.

Abstract: Based on the first order integrated matrix differential equation of a circular cylindrical shell treated with passive constrained layer damping(PCLD) derived by authors recently,combined with the constitutive equations for pizeoelastic material,and the proportional and differential(PD) control strategy,a new transfer matrix method was proposed for the dynamic analysis of cylindrical shells with active constrained layer damping(ACLD).The first order integrated matrix differential equation of the circular cylindrical treated with ACLD was obtained according to a simplified mechanically and electrically coupled model.Resorting to the free vibration and dynamic responses of an ACLD cylindrical shell under harmonic ground motion with one end clamped and the other end free,it was found that ACLD is more superior to PCLD in suppressing vibration;moreover,it can be pointed out that ACLD is more efficient to restrain the ground motion excitations when ACLD is divided into sub-blocks along circumference direction and the control voltage is applied in the way of depressing the dominant modes excited by external force.