Modal analysis of stepped piezoelectric beams

摘要

In this paper, we examine and compare four different techniques for modal analysis of stepped piezoelectric beams. The first technique is based on the solution of the exact transcendental eigenvalue problem, formulated in terms of the dynamic stiffness matrix. The other three techniques are based on the Galerkin method for obtaining a finite-dimensional version of the system. Besides the classical assumed modes method and finite-element method, we propose a novel enhanced version of the assumed modes method, which introduces special jump functions to enrich the standard basis functions.