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Observation of Elastic Wave Localization

Published online by Cambridge University Press:  25 February 2011

Ling Ye,
George Cody,
Minyao Zhou,
Ping Sheng and
Andrew Norris
Ling Ye
Affiliation:
Exxon Research &Engineering Co., Annandale, NJ 08801
George Cody
Affiliation:
Exxon Research &Engineering Co., Annandale, NJ 08801
Minyao Zhou
Affiliation:
Exxon Research &Engineering Co., Annandale, NJ 08801
Ping Sheng
Affiliation:
Exxon Research &Engineering Co., Annandale, NJ 08801
Andrew Norris
Affiliation:
Rutgers University, Department of Mechanical & Aerospace Engineering, Piscataway, NJ 08855
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Abstract

Spatial localization of bending waves was observed on a steel plate (72"X72"X1") decorated with lucite blocks (3.5"X3.5"X3") arranged in either a periodic or a random array. The exponential decay length of the localized modes is as short as 12 cm at 2.8 kHz, and increases with frequency as (f0 - f)-1, where f0 = 3.5 kHz is a quasi-mobility edge. The experimental data and finiteelement calculations suggest that the observed localization ofbending waves is due to the strong resonant scattering of bending waves by the shear modes of lucite/steel system. The generic nature of this localization phenomenon suggests its potential use as a attenuation mechanism for bending waves.

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References

REFERENCES

[1]. Anderson, P. W., Phys. Rev. 109, 1492 (1958).Google Scholar
[2]. Lee, P. A. and Ramakrishnan, T. V., Rev. Mod. Phys. 51, 287 (1985).Google Scholar
[3]. He, S. and Maynard, J. D., Phys. Rev. Lett. 37, 3171 (1986).CrossRefGoogle Scholar
[4]. Weaver, R. L., Wave Motion, 12, 129 (1990).Google Scholar
[5]. For light localization, see Levi, B. in Search & Discovery. Physics Today, June 1991, 17 (1991), and references therein.Google Scholar
[6]. Sheng, P., Ed., Scattering and Localization of Classical Waves in Random Media (World Scientific Publishing Co., Singapore, 1990).Google Scholar
[7]. Cremer, L. and Heckl, M., Structure-Borne Sound (Spring-Verlag, Berlin), (1988), The discussion of the effect of perturbing masses on 1D propagation of bending waves in this book is not relevant to this paper.Google Scholar
[8]. They are manufactured by SoundCoat as product GP-3.Google Scholar
[9]. Weaver, R. L. and Pao, Y. H., J. of App. Mech. 49, 821 (1982).Google Scholar
[10]. Landau, L. D. and Lifshitz, E. M., Theory of Elasticity, 3rd Edition (Pergamon Press, 1986), p. 103. The solution with a changed boundary condition is used.Google Scholar
[11]. To be published.Google Scholar
[12]. Sheng, P. and Zhang, Z. O., Phys. Rev. Lett. 57, 1879 (1986).Google Scholar
[13]. Meir, Y, Aharony, A. and Harris, A. B., Europhys. Lett. 10, 275 (1989).Google Scholar
[14]. Kaveh, M., Philos. Mag. B52, 521 (1985).CrossRefGoogle Scholar
[15]. Soukoulis, C. M. and Grest, G. S., Phys. Rev. B44, 4685 (1991).CrossRefGoogle Scholar
[16]. The Koslowski and Niessen, W. von, Phys. Rev. B42, 10342 (1990).Google Scholar