State space finite element analysis for piezoelectric laminated curved beam with variable curvature

A six-variable state vector formulation for static deformation of the laminated curved beam bonded with piezoelectric actuators is deduced. The 2D numerical solution for the piezoelectric laminated curved beams (PLCB) is explored. Then the distributions of the electrical and mechanical fields along the beam thickness direction are investigated analytically. The static shape control is researched for a laminated half circular beam covered with piezoelectric actuators. Comparisons with the available results show the reliability of the proposed method. At the end a spiral laminated piezoelectric structure is analyzed and the parameter study is carried out using the presented method.