Shannon Entropy in Stochastic Analysis of Some Mems

Marcin Kamiński and Alberto Corigliano
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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

Energies, 2022, vol. 15, issue 15, 1-14

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.

Keywords: Shannon entropy; MEMS vibrations; Duffing equation; random damping (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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