Shape Control And Optimization Using Cantilever Beam

In this study, Analytical work is carried out for static shape control of cantilever beam structure with a use of laminated piezoelectric actuator (LPA). The mathematical modeling of beam element covered with LPA based on Timoshenko beam element theory and linear theory of piezoelectricity has been used. This work shows how number of actuators, actuator size, actuator location on beam and control voltage are depended on the desired shape of beam. Initial condition of beam is taken as horizontal position and three higher order polynomial curves are taken as desired shapes for beam to achieve. Here error between desired shape and achieved shape is taken as an objective to minimize, size, location and control voltage of actuators taken as variables. Genetic Algorithm for calculating optimum values of all variables is carried out using Matlab tool