中文摘要：

设计一种层叠式聚偏氟乙烯（Polyvinylidene fluoride，PVDF）主动约束层阻尼结构，将其应用于圆柱壳结构，采用Hamilton变分原理，导出局部附加层叠式PVDF主动约束层阻尼（ALCLD）圆柱壳的振动控制方程。给出层叠式PVDF主动约束层作动力的解析表达式，对两端简支圆柱壳的振动控制进行模拟。研究表明，层叠式PVDF主动约束阻尼层结构产生的作动力与PVDF层数成正比，控制电压相同时，增大主动约束层层数和粘接层厚度，可以有效地增大作动力，显著提高振动抑制效果。研究发现，粘贴在壳曲面上的主动约束层能够在径向产生大的作动力，这对壳曲面面外的振动控制非常有利。

英文摘要：

Vibration control of cylindrical shell partially treated with the active laminated polyvinglidene fluoride（PVDF） constrained layer damping （ALCLD） is investigated. The electromechanically coupled equations of the system considered are derived by using Hamilton＇s principle. The analytic formulae of actuating forces produced by ALCLD are obtained. The vibration control is simulated as well for a simply supported cylindrical shell partially treated with ALCLD employing velocity feedback scheme. The results show that the increasing of PVDF layer number can improve significantly the control performance since the acting forces of ALCLD are linear with the PVDF layer number. Consequently, the vibration of the shell can be suppressed well under low control voltage using ALCLD of the larger PVDF layer number. The actuating force in radial direction, which is very effective to control the transverse vibration of the shell, is induced in the case of PVDF layer bounding on the surface of shell.