Nonlinear dynamics of granular chains

Yuli Starosvetsky, Alexander F. Vakakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study strongly nonlinear traveling waves in onedimensional granular chains with no pre-compression. We directly study the discrete, strongly nonlinear governing equations of motion of these media without resorting to continuum approximations or homogenization, which enables us to compute families of stable multi-hump traveling wave solutions with arbitrary wavelengths. We develop systematic semi - analytical approaches for computing different families of nonlinear traveling waves parametrized by spatial periodicity (wavenumber) and energy. Our findings indicate that homogeneous granular chains possess complex nonlinear dynamics, including the capacity for intrinsic nonlinear energy transfer.

Original languageEnglish (US)
Title of host publicationASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
Pages913-918
Number of pages6
DOIs
StatePublished - Dec 1 2010
EventASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010 - Montreal, QC, Canada
Duration: Aug 15 2010Aug 18 2010

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume5

Other

OtherASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
CountryCanada
CityMontreal, QC
Period8/15/108/18/10

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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  • Cite this

    Starosvetsky, Y., & Vakakis, A. F. (2010). Nonlinear dynamics of granular chains. In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010 (pp. 913-918). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 5). https://doi.org/10.1115/DETC2010-29208