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Related Experiment Video

Updated: Feb 7, 2026

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

Passive nonlinear targeted energy transfer.

Alexander F Vakakis¹

¹Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 W. Green Str., Urbana, IL 61801, USA avakakis@illinois.edu.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|July 25, 2018

Summary

Strong nonlinearities enable targeted energy transfer (TET) in mechanical systems, mimicking turbulent energy cascades. This intentional design strategy allows controlled energy scattering for enhanced vibration control and energy harvesting.

Keywords:

nonlinear resonance capture passive energy transfer

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Area of Science:

Physics
Mechanical Engineering
Acoustics

Background:

Nonlinearity in dynamical and acoustical systems causes energy scattering across frequencies and wavenumbers, unlike linear systems.
Turbulent flows exhibit irreversible energy transfer from large to small scales.
Passive targeted energy transfer (TET) utilizes intentional strong nonlinearities in mechanical and structural systems.

Purpose of the Study:

To investigate the use of strong nonlinearities for passive targeted energy transfer (TET) in mechanical and structural systems.
To explore the analogy between nonlinear energy scattering in engineered systems and energy cascades in turbulent flows.
To demonstrate the potential for intentional design of systems with controlled multi-scale energy transfers.

Main Methods:

Review of theoretical concepts related to TET and nonlinear energy scattering.
Analysis of dynamical systems with strongly nonlinear local attachments.
Examination of a nonlinear planar chain of particles as a mechanical analogue.

Main Results:

Addition of nonlinear attachments to linear systems induces energy scattering and redistribution from large to small scales.
Nonlinear resonance interactions drive energy scattering across scales.
A nonlinear planar chain exhibits similar energy scattering in its acoustics.

Conclusions:

Intentional use of strong nonlinearity in design can induce predictable, controlled multi-scale energy transfers.
These effects enhance system performance in areas like vibration isolation and energy harvesting.
Achieving such performance objectives is not possible in classical linear systems.