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Shannon Entropy in Stochastic Analysis of Some Mems

Author

Listed:
  • Marcin Kamiński

    (Department of Structural Mechanics, Łódź University of Technology, 90-924 Łódź, Poland)

  • Alberto Corigliano

    (Department of Civil and Environmental Engineering, Politecnico di Milano, 20133 Milano, Italy)

Abstract

This work is focused on the numerical determination of Shannon probabilistic entropy for MEMS devices exhibiting some uncertainty in their structural response. This entropy is a universal measure of statistical or stochastic disorder in static deformation or dynamic vibrations of engineering systems and is available for both continuous and discrete distributions functions of structural parameters. An interval algorithm using Monte Carlo simulation and polynomial structural response recovery has been implemented to demonstrate an uncertainty propagation of the forced vibrations in some small MEMS devices. A computational example includes stochastic nonlinear vibrations described by the Duffing equation calibrated for some micro-resonators, whose damping is adopted as a Gaussian, uniformly and triangularly distributed input uncertainty source.

Suggested Citation

  • Marcin Kamiński & Alberto Corigliano, 2022. "Shannon Entropy in Stochastic Analysis of Some Mems," Energies, MDPI, vol. 15(15), pages 1-14, July.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:15:p:5483-:d:874559
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    References listed on IDEAS

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    1. Shao, Yongzhao & Hahn, Marjorie G., 1995. "Limit theorems for the logarithm of sample spacings," Statistics & Probability Letters, Elsevier, vol. 24(2), pages 121-132, August.
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