document: General solution of a density functionally gradient piezoelectric cantilever and its applications We have used the plane strain theory of transversely isotropic bodies to study a piezoelectric cantilever . In order to find the general solution of a density functionally gradient piezoelectric cantilever , we have used the inverse method -LRB- i.e. the Airy stress function method -RRB- . We have obtained the stress and induction functions in the form of polynomials as well as the general solution of the beam . Based on this general solution , we have deduced the solutions of the cantilever under different loading conditions . Furthermore , as applications of this general solution in engineering , we have studied the tip deflection and blocking force of a piezoelectric cantilever actuator . Finally , we have addressed a method to determine the density distribution profile for a given piezoelectric material
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