Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model

作者：Zhou YG; Chen YM^*; Ding HJ

来源：Smart Structures and Systems, 2005, 1(3): 309-324.

• piezoelectric bimorph
• beam model
• first-order shear deformation theory
• shear correction factor
• electric potential
• analytical solution

This paper presents an efficient and accurate coupled beam model for piezoelectric bimorphs based on improved first-order shear deformation theory (FSDT). The model combines the equivalent single layer approach for the mechanical displacements and a layerwise modeling for the electric potential. General electric field function is proposed to reasonably approximate the through-the-thickness distribution of the applied and induced electric potentials. Layerwise defined shear correction factor (k) accounting for nonlinear shear strain distribution is introduced into both the shear stress resultant and the electric displacement integration. Analytical solutions for free vibrations and forced response under electromechanical loads are obtained for the simply supported piezoelectric bimorphs with series or parallel arrangement, and the numerical results for various length-to-thickness ratios are compared with the exact two-dimensional piezoelasticity solution. Excellent predictions with low error estimates of local and global responses as well as the modal frequencies are observed.

• 出版日期2005-9
• 单位浙江大学