FINITE ELEMENT MODEL FOR SMART BEAMS WITH PIEZOELECTRIC ACTUATORS AND/OR SENSORS

摘要

A finite element model for the analysis and design of smart composite beams with piezoelectric actuators and sensors is developed and validated. The mathematical model is based on the third order shear deformation theory and the linear layer-wise theory for the displacement and electric potential fields respectively. The developed model is a two-noded Hermitian beam element with the layer-wise theory accounting for the thickness direction. This FE model allows analyzing both thin and thick smart beams, and accounts for the shear stresses produced by the bond layer(s). The use of Hamilton's principle permits developing finite element models for both dynamic and static analyses. A static test case is presented to validate the results of the FE model against published benchmark results. Extension of the analysis to dynamic cases of piezoelectric actuation and sensing and smart flap designs is deferred for presentation in subsequent papers.