Nonlinear targeted energy transfer in granular chains

M. Arif Hasan, Yuli Starosvetsky, Alexander F Vakakis

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

Abstract

One of the prime focuses in the design of highly adaptive granular material is in ability to passively control the flow of energy through it by means of trapping, redirection and scattering. In this study we demonstrate that one of the possible mechanisms to achieve efficient control over the propagating shock wave in the material is the usage of weakly interacting, non-compressed granular chains. In the latest computational studies we have demonstrated that the shock waves initially localized on a finite amount of chains can be efficiently redirected to the neighboring granular chains. In this work, we present an analytical and numerical approach to the concept of targeted energy transfer (TET) in granular media. We consider two weakly coupled granular chains which have on-site potential. This on-site potential arises if the granular chains are mounted on linear elastic foundation. We propose two different mechanisms for TET in granular media: (i) decouple the coupling, and (ii) stratification of the foundation. Each mechanism provides an efficient way of localization of energy in one of the two chains. For the second mechanism, one chain with varying parameter is excited by an initial impulse but coupled with another chain with constant parameter is initially at rest and we transform the governing equation of the granular chain system into two coupled oscillators and thus made an analogy between strongly nonlinear granular chain with the quantum Landau-Zener tunneling. The revealed phenomena open up the possibility of designing granular media as shock mitigators by efficiently redirecting the incoming energy to the neighboring granular chain, i.e. it gives a passive control over the incoming energy by redirecting among the granular networks.

Original languageEnglish (US)
Title of host publicationASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
Pages531-536
Number of pages6
EditionPARTS A AND B
DOIs
StatePublished - Dec 1 2012
EventASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States
Duration: Aug 12 2012Aug 12 2012

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
NumberPARTS A AND B
Volume1

Other

OtherASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
CountryUnited States
CityChicago, IL
Period8/12/128/12/12

Fingerprint

Energy Transfer
Energy transfer
Shock waves
Granular materials
Granular Media
Scattering
Energy
Shock Waves
Passive Control
Elastic Foundation
Granular Materials
Coupled Oscillators
Stratification
Trapping
Impulse
Analogy
Shock
Governing equation
Transform

ASJC Scopus subject areas

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

Cite this

Hasan, M. A., Starosvetsky, Y., & Vakakis, A. F. (2012). Nonlinear targeted energy transfer in granular chains. In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 (PARTS A AND B ed., pp. 531-536). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1, No. PARTS A AND B). https://doi.org/10.1115/DETC2012-70569

Nonlinear targeted energy transfer in granular chains. / Hasan, M. Arif; Starosvetsky, Yuli; Vakakis, Alexander F.

ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B. ed. 2012. p. 531-536 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1, No. PARTS A AND B).

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

Hasan, MA, Starosvetsky, Y & Vakakis, AF 2012, Nonlinear targeted energy transfer in granular chains. in ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B edn, Proceedings of the ASME Design Engineering Technical Conference, no. PARTS A AND B, vol. 1, pp. 531-536, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012, Chicago, IL, United States, 8/12/12. https://doi.org/10.1115/DETC2012-70569
Hasan MA, Starosvetsky Y, Vakakis AF. Nonlinear targeted energy transfer in granular chains. In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B ed. 2012. p. 531-536. (Proceedings of the ASME Design Engineering Technical Conference; PARTS A AND B). https://doi.org/10.1115/DETC2012-70569
Hasan, M. Arif ; Starosvetsky, Yuli ; Vakakis, Alexander F. / Nonlinear targeted energy transfer in granular chains. ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B. ed. 2012. pp. 531-536 (Proceedings of the ASME Design Engineering Technical Conference; PARTS A AND B).
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