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Analytical and Experimental Analysis of Bandgaps in Nonlinear one Dimensional Periodic Structures

Boechler, Nicholas and Daraio, Chiara and Narisetti, Raj K. and Ruzzene, M. and Leamy, M. J. (2010) Analytical and Experimental Analysis of Bandgaps in Nonlinear one Dimensional Periodic Structures. In: IUTAM Symposium on Recent Advances of Acoustic Waves in Solids. IUTAM Bookseries. No.26. Springer , Dordrecht, pp. 209-219. ISBN 978-90-481-9892-4 . http://resolver.caltech.edu/CaltechAUTHORS:20110524-092212206

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Abstract

Wave propagation characteristics of nonlinear one-dimensional periodic structures are investigated analytically, numerically and experimentally. A novel perturbation analysis is first applied to predict the band gap location and extent in terms of linear and nonlinear system parameters. Approximate closed-form expressions capture the effect of nonlinearities on dispersion and depict amplitude dependent cut-off frequencies. The predictions from the perturbation analysis are verified through numerical simulations of harmonic wave motion. Results indicate the possibility of input amplitude as a tuning parameter through which cut-off frequencies can be adjusted to achieve filtering properties over selected frequency ranges. A periodic diatomic chain of stainless steel spheres alternating with aluminium spheres is experimentally investigated. The dynamic behavior of the chain is governed by Hertzian interaction of spheres and by a compressive pre-load which can be adjusted to obtain linear, weakly nonlinear and highly nonlinear behavior. For a weakly nonlinear case, preliminary results in experiments show the tendency for a shift in the band gap edges by varying input amplitude. The paper is a work in progress, for which the experimental results for a weakly nonlinear system are interpreted by the perturbation analysis developed for a specific case of linear and nonlinear power law interaction of exponent 3/2.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/978-90-481-9893-1_20 DOIArticle
http://www.springerlink.com/content/l44m72x56l65n508/PublisherArticle
ORCID:
AuthorORCID
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2010 Springer Science + Business Media B.V.
Record Number:CaltechAUTHORS:20110524-092212206
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110524-092212206
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23773
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 May 2011 22:01
Last Modified:23 Aug 2016 10:01

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