论文标题

悬臂梁上的虚拟声学黑洞

A Virtual Acoustic Black Hole on a Cantilever Beam

论文作者

Quaegebeur, Samuel, Raze, Ghislain, Cheng, Li, Kerschen, Gaëtan

论文摘要

声学黑洞(ABH)由锥形结构组成,其厚度遵循幂律剖面。当附着在宿主结构上时,ABH定位并捕获振动能,然后可以通过阻尼层消散。但是,已知有效振动仅发生在切割频率以上,该频率与锥形结构的长度成反比。在这种情况下,本文的主要目的是用数字控制器代替机械ABH,以创建所谓的虚拟声学黑洞(VABH),从而使ABH摆脱可能的机械约束(例如,紧凑,制造,制造和疲劳问题)。提出的VABH首先是理论上详细介绍的。然后,使用悬臂梁作为宿主结构,在数值和实验上均通过数值和实验证明VABH的显着特征和性能。最终,结果表明,VABH显着扩大了ABH概念的适用性。

An acoustic black hole (ABH) consists of a tapered structure whose thickness follows a power-law profile. When attached to a host structure, an ABH localizes and traps the vibrational energy, which can then be dissipated through, e.g., a damping layer. However, effective vibration mitigation is known to occur only above a cut-on frequency which is inversely proportional to the length of the tapered structure. In this context, the main thrust of this paper is to replace a mechanical ABH by a digital controller so as to create a so-called virtual acoustic black hole (VABH), thus, freeing the ABH from possible mechanical constraints (e.g., compactness, manufacturing and fatigue issues). The proposed VABH is first detailed theoretically. The salient features and performance of the VABH are then demonstrated both numerically and experimentally using a cantilever beam as a host structure. Eventually, it is shown that the VABH significantly enlarges the applicability of the concept of an ABH.

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