Semi analytical modelling of thermosensitive strip resonators

The goal of this research is to provide some tools to approximately determine the main parameters and the operating range of resonant sensors relying on strip resonators, and thereby to help in guiding associated and still necessary FEA analysis. First, recent improvements of a previously presented two-dimensional semi-analytical model for strip resonators are presented. They namely consist of extending the number of branches used in the variational treatment of boundary conditions at the edges of the narrow strip, and of introducing piezoelectricity into the determination of the dispersion curves in the (x₁, x₂) cross section of strip. Thereafter, the paper briefly proposes an extension of this model in 3-D whereas its final section discusses issues concerning further improvements such as accuracy refinements and the introduction of Lagrangian formalism to take temperature sensitivity into account.