Finite elements based reduced order models for geometrically nonlinear and piezoelectric thin structures: validation and three-dimensional effects

This paper presents a general methodology to obtain a reduced order model (ROM) of geometrically nonlinear electro-mechanical structures with piezoelectric transducers. A standard modal reduction is used and the ROM is built using a finite-elements software thanks to a non-intrusive strategy. In this context, this article focuses first on the validation of the proposed reduced order modelling strategy, especially for the piezoelectric part of the ROM, and second to the use of three-dimensional finite elements and associated convergence issues.