Published June 23, 2018 | Version v1
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Mathematica package for calculation of Q factors of strained non-uniform beams

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Description

Package for calculation of Q factors of strained beams with non-uniform width and thickness together with supplementary theory note. Possible boundary conditions are doubly clamped or Floquet-periodic

Used for calculations published in "Generalized dissipation dilution in strained mechanical resonators", "Elastic strain engineering for ultralow mechanical dissipation" and "Clamp-tapering increases the quality factor of stressed nanobeams". 

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Note on stress dilution of a non-uniform beam.pdf

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Additional details

References

  • Ghadimi, A. H. et al. Elastic strain engineering for ultralow mechanical dissipation. Science 360, 764–768 (2018).
  • Fedorov, S. A. et al. Generalized dissipation dilution in strained mechanical resonators. arXiv:1807.07086 [cond-mat, physics:physics] (2018).
  • Bereyhi, M. J. et al. Clamp-tapering increases the quality factor of stressed nanobeams. arXiv:1810.00414 [cond-mat, physics:physics] (2018).