Numerical and experimental investigation of parameter uncertainty in the working diagram and in use of a single piezoelectric stack actuator to stabilize a slender beam column against buckling

Uncertainty in the use of a single piezoelectric stack actuator for stabilization purposes of a slender beam column is described and assessed via the working diagram to estimate the stack actuator's force and stroke levels. Deviations in the blocking force, in the maximum free stroke of the actuator, in the mechanical prestress load on the actuator and in the stiffness of the host structure are considered as uncertain parameters. Worst Case analyses in the working diagram are performed to assess the influence of the uncertain parameters on the actuator's force and stroke levels. Real measurements of the force and stroke levels generated by a single piezoelectric stack actuator working against a cantilever beam are performed in an experimental set up. Uncertainty in the experimental measurements of the actuator's force an stroke levels are described an discussed. It is seen that a high discrepancy between numerical and experimental results with respect to uncertainty can be quantified.