Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase   Rods Using the Method of Reverberation-Ray Matrix Combined With the   Floquet-Bloch Theorem

doi:10.1115/1.4025438

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	Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem
	Guo, Y. Q. ; Fang, D. N.
刊名	journal of vibration and acoustics transactions of the asme
	2014
关键词	longitudinal waves periodic multiphase rods method of reverberation-ray matrix Floquet-Bloch theorem dispersion curves frequency bands BAND-STRUCTURE DISPERSIVE ELASTODYNAMICS PHONONIC CRYSTALS PROPAGATION VIBRATION SYSTEMS GAP OPTIMIZATION TRUSSES DESIGN
DOI	10.1115/1.4025438
英文摘要	The method of reverberation-ray matrix (MRRM) combined with the Floquet-Bloch theorem, which serves as an alternative method, is presented for accurately analyzing longitudinal waves in general periodic multiphase rods. Closed-form dispersion relation of periodic quaternary rods is derived. Based on this relation, the functions of constituent-rod parameters in the formation of longitudinal-wave band structures are analytically revealed. Numerical examples validate the proposed method and indicate the characteristics/applications of all kinds of dispersion curves that include the frequency-wave number spectra, the frequency-wavelength spectra, the frequency-phase velocity spectra, the wave number-phase velocity spectra and the wavelength-phase velocity spectra. The effect of unit-cell layout on the frequency band properties and the functions of constituent-rod parameters in the band structure formation are also illustrated numerically. The analysis and interpretation of longitudinal waves in periodic multiphase rods given in this paper will push forward the design of periodic structures for longitudinal wave filtering/guiding and vibration isolation/control applications.; Acoustics; Engineering, Mechanical; Mechanics; SCI(E); EI; 0; ARTICLE; guoyq@lzu.edu.cn; 1; 136
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/315818]
专题	工学院
推荐引用方式 GB/T 7714	Guo, Y. Q.,Fang, D. N.. Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem[J]. journal of vibration and acoustics transactions of the asme,2014.
APA	Guo, Y. Q.,&Fang, D. N..(2014).Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem.journal of vibration and acoustics transactions of the asme.
MLA	Guo, Y. Q.,et al."Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem".journal of vibration and acoustics transactions of the asme (2014).