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Discussion

Discussion of “Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress and Future Outlook” (Hussein, M. I., Leamy, M. J., and Ruzzene, M., 2014, ASME Appl. Mech. Rev., 66(4), p. 040802)

[+] Author and Article Information
Brian R. Mace

Department of Mechanical Engineering,
University of Auckland,
Auckland 1142, New Zealand
e-mail: b.mace@auckland.ac.nz

Manuscript received April 19, 2014; final manuscript received May 19, 2014; published online June 17, 2014. Editor: Harry Dankowicz.

Appl. Mech. Rev 66(4), 045502 (Jun 17, 2014) (5 pages) Paper No: AMR-14-1039; doi: 10.1115/1.4027723 History: Received April 19, 2014; Revised May 19, 2014

The authors provide an extensive review of this field, outlining its multidisciplinary history, presenting a state-of-the-art review of current methods and applications, a description of the phenomena observed and projections for future research directions. This note provides additional comments and interpretation in various areas. Wave motion in periodic structures is discussed, with the emphasis being on multicoupled and continuous systems. The natural frequencies of finite structures are considered, including higher frequency issues such as asymptotic modal density and how periodic subsystems can be included in statistical energy analysis models. Comments are made on various computational and numerical issues. Media with periodic arrays of internal resonators—commonly referred to as acoustic metamaterials—are known to exhibit a stop band in the sub-Bragg frequency region around the resonator natural frequency: it is noted that the same effect can be produced by just a single resonator, rather than requiring a periodic array. Phenomena occasionally referred to in the literature as involving “negative group velocity” or “negative mass” are discussed and alternative physical interpretations provided.

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References

Figures

Grahic Jump Location
Fig. 1

(a) TVA attached to rod undergoing axial vibration and (b) definition of TVA force and displacement

Grahic Jump Location
Fig. 2

Transmitted power per unit incident power as a function of the frequency ratio Ω = ω/ωR: dashed line mass ratio μ = 0.1 and solid line μ = 0.5

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