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Theoretical analysis of the energy conversion and vibration control characteristics of a slanted beam termination
Meccanica ( IF 2.7 ) Pub Date : 2021-07-01 , DOI: 10.1007/s11012-021-01389-1
Yingyu Hua , Emiliano Rustighi , Li Cheng , Waion Wong

The fundamental beam structure is often regarded as a wave or energy carrier in a wide range of research topics for structural engineering. Nevertheless, in the related literature the beam is positioned either horizontally or vertically, which may limit its application flexibility. Very few studies have investigated the energy conversion and vibration control characteristics induced by the flexural and axial waves coupling at a slanted angle discontinuity. This research aims to investigate the dynamic characteristics of a slanted beam termination (SBT), a finite beam with one end attached to a host structure and the other end free in a slant configuration. A generic wave-based formulation is developed to obtain both the waveguides distribution and the point impedance of the SBT taking the flexural and axial waves coupling into account. The semi-infinite beam (SIB) with the proposed SBT case is compared with the classic two SIBs case in terms of the energy conversion phenomena influenced by the connection angle and frequency. In the SIB with the SBT case, a certain connection angle will enable the SBT to achieve a substantial energy conversion at its resonance. From the vibration control perspective, a benchmark cantilevered beam is adopted to examine the SBT’s vibration control performance theoretically and is verified experimentally. This research lays the foundation for the design of the beam-like device for energy conversion and vibration suppression by the variation of connection angle rather than the conventional tuning method based on the stiffness, mass and damping.



中文翻译:

斜梁终端能量转换及振动控制特性的理论分析

在结构工程的广泛研究课题中,基本梁结构通常被视为波或能量载体。然而,在相关文献中,光束被水平或垂直定位,这可能会限制其应用的灵活性。很少有研究调查由倾斜角不连续处的弯曲和轴向波耦合引起的能量转换和振动控制特性。本研究旨在研究倾斜梁终端 (SBT) 的动态特性,这是一种一端连接到主体结构而另一端以倾斜配置自由活动的有限梁。开发了一种通用的基于波的公式,以获取 SBT 的波导分布和点阻抗,同时考虑到弯曲和轴向波耦合。在受连接角度和频率影响的能量转换现象方面,将具有所提出的 SBT 情况的半无限梁 (SIB) 与经典的两个 SIB 情况进行了比较。在 SIB 与 SBT 的情况下,一定的连接角度将使 SBT 在其共振时实现大量的能量转换。从振动控制的角度,采用基准悬臂梁对SBT的振动控制性能进行了理论上的检验并进行了实验验证。本研究为通过改变连接角而不是传统的基于刚度、质量和阻尼的调谐方法来设计用于能量转换和振动抑制的梁状装置奠定了基础。

更新日期:2021-09-08
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