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Published March 2015 | Published
Journal Article Open

Wave propagation in granular chains with local resonances


We study wave propagation in a chain of spherical particles containing a local resonator. The resonant particles are made of an aluminum outer spherical shell and a steel inner mass connected by a polymeric plastic structure acting as a spring. We characterize the dynamic response of individual particles and the transmitted linear spectra of a chain of particles in contact. A wide band gap is observed both in theoretical and experimental results. We show the ability to tune the acoustic transmission by varying the contact interaction between particles. Higher driving amplitude leads to the generation of nonlinearities both in the response of a single particle and that of the whole chain. For a single resonant particle, we observe experimentally a resonant frequency downshift, which follows a complex nonlinear behavior. In the chain of particles, nonlinearity leads to the generation of nonlinear harmonics and the presence of localized modes inside the band gap.

Additional Information

© 2015 American Physical Society. Received 5 March 2014; revised manuscript received 14 October 2014; published 31 March 2015. L.B. and C.D. acknowledge support from the U.S. NSF, Grant No. 0969541 and the U.S. Office of Naval Research, YIP program. They also acknowledge partial support from the Army Research Office MURI Grant No. US ARO W911NF-09-1-0436. G.T. acknowledges support from the FP7-People-2013-CIG grant, Project 618322 ComGranSol. We thank Marc Serra Garcia for his support in the experiments, and V. Tournat and D. Ngo for helpful discussions.

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Published - PhysRevE.91.033208.pdf


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