Efficient Simulation Model of a Circular Piezoelectric Actuator with TDNNS Elements in Netgen/NGSolve

Inhalt:
The design possibilities of piezoelectric actuators are nowadays almost unlimited. In order to get the best design for a given application, optimizations are needed. However, since these optimizations have to be performed in a finite time, fast and efficient simulations are required. These simulations are typically performed with finite element methods. Due to the thin structure of piezoelectric actuators, a high number of elements in standard finite element simulations is required. Typically the amount of elements goes along with the computation time. In this paper, the Tangential Displacement Normal-Normal-Stress method is presented, which allows to analyze such thin structures quickly and efficiently. The method is demonstrated on a thin piezoelectric actuator and the simulation results are compared with the results of a commercial finite element software and an analytical solution.