Finite Element Modelling of Hybrid Beams with Patch Sensors and Actuators using a Coupled Efficient Zigzag Theory

摘要

A finite element model is presented for the analysis of hybrid beams with patch piezoelectric sensors and actuators under static electromechanical load, using the one-dimensional (1D) coupled zigzag theory developed recently by the authors. Two noded elements are used with cubic Hermite interpolation for deflection and electric potentials at the sub-layers and with linear interpolation for axial displacement and shear rotation. The nodes can have variable number of degrees of freedom depending on the discretisation of potential across the thickness. The present zigzag finite element results for cantilever beams are compared with the 2D finite element results obtained using ABAQUS. The comparison reveals that the present finite element model yields accurate results for moderately thick hybrid composite and sandwich beams with patch sensors and actuators. The effect of piezoelectric patch location on the tip deflection of the beam has been investigated.