主动约束层阻尼圆柱壳动力学分析的新传递矩阵法

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

基于作者最近导出的被动约束层阻尼(PCLD)圆柱壳的一阶整合矩阵微分方程,结合压电材料本构关系和比例微分负增益反馈控制策略(PD),建立了一种求解主动约束层阻尼(ACLD)圆柱壳动力学问题的新传递矩阵方法。提出的ACLD圆柱壳的一阶矩阵微分方程,采用了简化的机电耦合模型。通过对ACLD圆柱壳自由振动及其在地震激励作用下的动力学响应分析,表明ACLD圆柱壳的阻尼特性和减振效果相对于PCLD圆柱壳具有明显优势,并且发现采用周向分块敷设ACLD,且施加与结构变形中的占优模态相匹配的控制电压分布方式对地震激励的抑制效果更好。

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.