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Tunable, synchronized frequency down-conversion in magnetic lattices with defects.

Marc Serra-Garcia1, Miguel Molerón1, Chiara Daraio2

  • 1Department of Mechanical and Process Engineering, Swiss Federal Institute of Technology (ETH), Zürich, Switzerland.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 25, 2018
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Summary
This summary is machine-generated.

This study demonstrates a mechanical system that converts energy between different frequencies using localized and extended vibrational modes. The nonlinear interaction allows tunable energy transfer from multiple sources to a single output.

Keywords:
frequency conversionnonlinear dynamicsnonlinear magnetic lattices

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Area of Science:

  • Nonlinear dynamics
  • Mechanical metamaterials
  • Acoustics

Background:

  • Nonlinear mechanical lattices offer unique energy transfer properties.
  • Opto-mechanical systems demonstrate analogous frequency conversion phenomena.
  • Controlling energy flow in dynamical systems is crucial for various applications.

Purpose of the Study:

  • To investigate frequency conversion in nonlinear mechanical lattices.
  • To introduce and analyze localized vibrational modes coupled to extended lattice modes.
  • To demonstrate autonomous and tunable energy transfer between mechanical modes.

Main Methods:

  • Utilizing a chain of magnets as a model nonlinear mechanical lattice.
  • Introducing mass defects to create localized vibrational modes.
  • Analyzing the nonlinear coupling between localized and extended lattice modes.

Main Results:

  • Localized modes were introduced via mass defects, coupling nonlinearly to extended modes.
  • Energy transfer from high-frequency localized modes to low-frequency extended modes was observed.
  • The system demonstrated autonomous, tunable frequency conversion and multi-source energy harvesting with phase control.

Conclusions:

  • Nonlinear mechanical lattices with defects can achieve efficient and tunable frequency conversion.
  • This mechanical analogue of opto-mechanical systems provides a platform for controlling energy flow.
  • The defect synchronization mechanism enables versatile energy harvesting capabilities.