Full Content is available to subscribers

Subscribe/Learn More  >

Amplitude Dependent Dispersion in Essentially Nonlinear Periodic Chains

[+] Author Affiliations
Raj K. Narisetti, Massimo Ruzzene, Michael J. Leamy

Georgia Institute of Technology, Atlanta, GA

Paper No. DETC2010-29014, pp. 1039-1044; 6 pages
  • ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 22nd International Conference on Design Theory and Methodology; Special Conference on Mechanical Vibration and Noise
  • Montreal, Quebec, Canada, August 15–18, 2010
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4413-7 | eISBN: 978-0-7918-3881-5
  • Copyright © 2010 by ASME


Wave dispersion in one dimensional essentially nonlinear chains is investigated using generalized harmonic balance method. The general approach presented is applied to predict dispersion in nonlinear chains with Hertzian contact interaction [1]. A compressive load at the two ends of a chain determines the magnitude of the nonlinearity. The cut-off frequencies and band-gaps exhibited by mono-atomic and diatomic chains are shown to be amplitude dependent. Amplitude dependent dispersion predicted by harmonic balance method agrees with the trend predicted by perturbation analysis [2]. In contrast to other approximate methods which are limited to small amplitude waves, the main advantage of the harmonic balance method is the ability to examine the high amplitude effects on wave properties. This includes the generation of multi-harmonic frequencies and significant variation in band-structure which can be exploited to design tunable acoustic devices. Applying a numerical algorithm based on generalized harmonic balance framework, the present study depicts a significant variation in band-gap between low and high wave amplitudes in essentially nonlinear periodic chains.

Copyright © 2010 by ASME
Topics: Chain



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In