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首页> 外文期刊>Japanese journal of applied physics >Hybrid Method for Analyzing the Torsional Vibration of One-Dimensional Phononic-Band-Gap Shafts
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Hybrid Method for Analyzing the Torsional Vibration of One-Dimensional Phononic-Band-Gap Shafts

机译:一维声子带隙轴的扭振分析的混合方法

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摘要

A hybrid method combining the transfer-matrix and lumped-mass methods is proposed to study the band gaps of torsional vibration in one-dimensional (1D) phononic band gap (PBG)-like shafts, which periodically arrange local resonant multilayer rings. The present method shows advantages over the transfer-matrix and lumped-mass methods for determining the inertia of rubber rings and fast convergence with less computational requirements. For light local resonators, the torsional band gaps, which were studied in three 1D PBG-like shafts by the hybrid method, agree well with those studied by the finite method. In addition, more precise evaluations of the starting frequency of the band gaps were carried out analytically. The methodology of the approach presented can also be employed to study the band gaps of bending and longitudinal waves.
机译:提出了一种结合传递矩阵法和集总质量法的混合方法来研究一维(1D)声子带隙(PBG)形轴中扭转振动的带隙,该轴周期性地布置局部共振多层环。本方法与传递矩阵和集总质量方法相比,具有确定橡胶环惯性和快速收敛的优点,且计算量较小。对于轻型局部谐振器,通过混合方法在三个一维PBG型轴中研究了扭转带隙,这与通过有限方法研究的扭转带隙非常吻合。另外,通过分析对带隙的起始频率进行了更精确的评估。提出的方法的方法还可以用于研究弯曲波和纵向波的带隙。

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  • 来源
    《Japanese journal of applied physics》 |2012年第5issue1期|p.052001.1-052001.7|共7页
  • 作者单位

    School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;

    School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;

    School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;

    School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;

    Xi'an Research Institute of High Technology, Hongqing Town, Xi'an 710025, China;

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