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Investigation on characteristics of energy transfer of flexural vibration in a Y-shaped bifurcated beam imposed lumped mass
Applied Mathematical Modelling ( IF 5 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.apm.2020.11.021
Shao-Ting Deng , Jian Pang , Zhang Zhang , Liang Yang , Xing-Quan Li , Hong-Liang Dai

Abstract A Y-shaped bifurcated beam that is comprised of one tapered part and two uniform parts is investigated in this article. The wave propagation method and Timoshenko beam theory are utilized to investigate the characteristics of energy transfer of flexural vibration. Transmission and reflection matrices at Y-shaped bifurcated interface with variable propagation directions of flexural incident wave are derived; the proportions of transmitted and reflected power caused by flexural wave in semi-infinite beam are obtained. The results show that both bifurcation position and angles between three sub-beams at Y-shaped bifurcated interface influence proportions of transmitted and reflected power. In order to investigate the power transfer coefficient of forced vibration in a finite Y-shaped bifurcated beam, the propagation relations of wave vectors in the coupled beam imposed lumped mass are deduced. Moreover, the analytical solution of power transfer coefficient is obtained. Numerical results indicate that increase of local mass can reduce power transfer coefficient at specific range of frequency domain in Y-shaped bifurcated beam. The investigation proposes the characteristics of energy transfer affected by bifurcation position, angles between sub-beams, variation coefficient of tapered beam and lumped mass, which is useful to optimal vibration control of flexural forced vibration in Y-shaped bifurcated beam.

中文翻译:

Y形分叉梁施加集总质量弯曲振动能量传递特性研究

摘要 本文研究了由一个锥形部分和两个均匀部分组成的Y形分叉梁。利用波传播方法和铁木辛柯梁理论研究了弯曲振动的能量传递特性。推导出弯曲入射波传播方向可变的Y形分岔界面的透射和反射矩阵;得到了半无限光束中弯曲波引起的透射和反射功率的比例。结果表明,Y形分叉界面处三个子光束的分叉位置和角度均影响透射功率和反射功率的比例。为了研究有限Y形分叉梁中受迫振动的功率传递系数,推导出耦合束施加的集总质量中波矢的传播关系。此外,还得到了功率传递系数的解析解。数值结果表明,局部质量的增加可以降低Y形分叉梁在特定频域范围内的功率传递系数。研究提出了分叉位置、分梁间夹角、锥形梁变异系数和集总质量对能量传递的影响,有助于优化Y形分叉梁弯曲受迫振动的振动控制。数值结果表明,局部质量的增加可以降低Y形分叉梁在特定频域范围内的功率传递系数。研究提出了分叉位置、分梁间夹角、锥形梁变异系数和集总质量对能量传递的影响,有助于优化Y形分叉梁弯曲受迫振动的振动控制。数值结果表明,局部质量的增加可以降低Y形分叉梁在特定频域范围内的功率传递系数。研究提出了分叉位置、分梁间夹角、锥形梁变异系数和集总质量对能量传递的影响,有助于优化Y形分叉梁弯曲受迫振动的振动控制。
更新日期:2021-04-01
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