PIEZOELECTRIC BEAM FINITE ELEMENT MODEL AND ITS REDUCTION TO STATE-SPACE MODEL

Abstract

The paper deals with modeling and simulation of the connection of piezoelectric materials, FGM materials and LQR control, using state-space model, which is built by modal truncation MOR method. FEM equations of piezoelectric finite beam were implemented in FEM program MultiFEM written in Wolfram Language. Modal truncation MOR method, which uses results from modal analysis, is also implemented in program Wolfram Mathematica. Simple piezoelectric structure is analyzed in numerical experiments, where FEM results are compared with MOR results.

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