Static, modal, and dynamic finite element analyses have been performed for cantilever piezoelectric fans to understand their mechanical behavior and to aid in design-optimization studies. Three-dimensional analysis was carried out by using the finite element analysis software package, ANSYS. Various parameters—like length, thickness, location of the piezoelectric metal layer, temperature, damping ratio, and electric field—have been considered. The effects of these parameters on the vibration characteristics and performance are investigated and consolidated through artificial neural networks. Feed-forward single hidden layer perceptron neural networks and Levenberg–Marquardt back-propagation (LMBP) algorithms are used to train the neural network. Optimal geometrical dimensions for maximum performance are then obtained using genetic algorithms.