Nonlinear effects and applications for piezoelectric materials

The requirements of high quality factor, low power consumption, easy design techniques and compatibility with the main standard fabrication processes integrated circuits (IC) make tunable piezoelectric resonators a suitable option for new technologies fifth generation telecommunication (5G) Internet Things (IoT). In this work nonlinear state equations effect are presented. From these we may deduce which materials can be used in applications where hysteresis behavior or resonance frequency tunability required, additionally, it is shown crystals have tensor’s symmetry compatible each application field. A novel model devices taking into account consequences voltage tuning. Finally, three different ways to implement tune introduced.