Piezoelectric structures are used in a variety of applications where instant response, high
energy conversion efficiency and accurate control are required. However, it is widely known
that piezoelectric structures suffer from a series of drawbacks, among which the most
important is the small displacement capacity. A number of techniques have been used in
order to transform the micron-scale displacements of PZT layers into meaningful
millimeter-scale ones. Non-linear mechanics belong to this category, providing the
possibility to transform a traditional bimorph linear output structure into a non-linear
high displacement actuator with increased combination of force/displacement
output. In the present work the analytical modeling and the subsequent analysis of
non-linear actuators with enhanced characteristics in terms of displacement is
presented. The piezoelectric structure that is studied is a traditional bimorph structure
with two piezoelectric layers and an aluminum substrate. The main concept is to
leverage non-linear mechanics, and more specifically snap-through buckling, so that
large displacements can be achieved with the transition of the structure from one
equilibrium position to another. During the development process the importance
of boundary conditions has been revealed and thus special attention has been
provided to this issue. A modified analytical model was elaborated in order to
come up with a closed form solution including relaxed boundary conditions. The
experimental verification of the analytical and numerical model is presented in part II.