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Control of axi-symmetric vibrations of cylindrical shells using active constrained layer damping

机译：主动约束层阻尼控制圆柱壳的轴对称振动

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摘要

Distributed-parameter modeling of thin cylindrical shells which are folly treated with active constrained layer damping (ACLD) is presented. Hamilton's principle is utilized to develop the shell/ACLD model as well as the associated boundary conditions. A globally stable bound- ary control strategy is developed to damp out the vibration of the shell/ACLD system. The devised boundary controller is compatible with the operating nature of the ACLD treatments where the strain induced, in the active constraining layer, generates a control force acting at the boundary of the treated shell. As the boundary control strategy is based on a distributed- parameter model of the shell/ACLD system, the classical spillover problems resulting from using “truncated” finite element models is eliminated. Also, such an approach makes the boundary controller capable of controlling all the modes of vibration of the shell/ACLD and guarantees that the total energy norm of the system is continuously decreasing with time. Numerical examples are presented to demonstrate the effectiveness of the ACLD in damping out the vibration of cylindrical shells. Such effectiveness is determined for different control gains and compared with the performance of conventional passive constrained layer damping (PCLD). The results obtained demonstrate the high damping characteristics of the boundary controller particularly over broad frequency bands.
机译：提出了用主动约束层阻尼（ACLD）完全处理的薄圆柱壳的分布参数模型。利用汉密尔顿原理来开发壳/ ACLD模型以及相关的边界条件。开发了一种全局稳定的边界控制策略，以衰减外壳/ ACLD系统的振动。所设计的边界控制器与ACLD处理的操作性质兼容，在有源约束层中感应出的应变产生作用在被处理壳体边界上的控制力。由于边界控制策略基于壳/ ACLD系统的分布参数模型，因此消除了使用“截断”有限元模型所产生的经典溢出问题。同样，这种方法使边界控制器能够控制外壳/ ACLD的所有振动模式，并确保系统的总能量范数随时间连续减少。数值例子表明了ACLD在抑制圆柱壳振动方面的有效性。针对不同的控制增益确定这种有效性，并将其与常规被动约束层阻尼（PCLD）的性能进行比较。获得的结果证明了边界控制器的高阻尼特性，特别是在宽频带上。

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