Uncertainty analysis for dynamic properties of MEMS resonator supported by fuzzy arithmetics
Author(s) -
Adam Martowicz,
Irina Stanciu,
Tadeusz Uhl
Publication year - 2009
Publication title -
the international journal of multiphysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 12
eISSN - 2048-3961
pISSN - 1750-9548
DOI - 10.1260/175095409788922293
Subject(s) - fuzzy logic , uncertainty analysis , sensitivity (control systems) , monte carlo method , resonator , propagation of uncertainty , microelectromechanical systems , finite element method , mathematics , control theory (sociology) , computer science , algorithm , electronic engineering , simulation , physics , engineering , statistics , artificial intelligence , optics , structural engineering , quantum mechanics , control (management)
In the paper the application of uncertainty analysis performed formicroelectromechanical resonator is presented. Main objective ofundertaken analysis is to assess the propagation of considered uncertaintiesin the variation of chosen dynamic characteristics of Finite Element model ofmicroresonator. Many different model parameters have been assumed tobe uncertain: geometry and material properties. Apart from total uncertaintypropagation, sensitivity analysis has been carried out to study separateinfluences of all input uncertain characteristics. Uncertainty analysis has beenperformed by means of fuzzy arithmetics in which alpha-cut strategy hasbeen applied to assemble output fuzzy number. Monte Carlo Simulation andGenetic Algorithms have been employed to calculate intervals connectedwith each alpha-cut of searched fuzzy number. Elaborated model ofmicroresonator has taken into account in a simplified way the presence ofsurrounding air and constant electrostatic field
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