A novel transfer matrix method for dynamic analysis of circular cylindrical shell treated with active constrained layer damping
Yuan Liyun1,2;Xiang Yu2;Huang Yuying1;Ni Qiao1
(1 College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China；2. Department of Automotive Engineering, Guangxi University of Technology, Liuzhou, 545006, China)
Abstract：Based on the first order integrated matrix differential equation of the 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 on active constrained layer damping(ACLD) cylindrical shells. The first order integrated matrix differential equation of the circular cylindrical treated with ACLD is obtained according to a simplified mechanical and electric coupled model. Resorting to the free vibration and dynamic responses under harmonic ground motion of an ACLD cylindrical shell with one end clamped and the other end free, it can be 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.
2010, Vol. 29 
