Dynamic Modeling on Smart Flexible Beam with Large Overall Planar Motion

Abstract

A simplified smart flexible spatial piezoelectric beam with overall motions is studied in this paper. Considering the geometrically nonlinear effect resulting from curved and twisted deformations, and considering the kinetic energy of the piezoelectric actuator and the coupled terms of deformations in the longitudinal, lateral and transversal directions, and taking into account the coupling of electric performance of piezoelectric material and structure deformation, finally, the Rigid-flexible-electric coupling dynamic model of piezoelectric smart beam is established by infinite element method and Lagrange equation.