scholarly journals Nonlinear modeling and estimation of force in a piezoelectric cantilever

2007 ◽  
Author(s):  
Micky Rakotondrabe ◽  
Yassine Haddab ◽  
Philippe Lutz
Keyword(s):  
Nonlinear Modeling ◽  
Piezoelectric Cantilever

scholarly journals Modeling the Piezoelectric Cantilever Resonator with Different Width Layers

Sensors ◽  
2020 ◽  
Vol 21 (1) ◽  
pp. 87
Author(s):  
Zhenxi Liu ◽  
Jiamin Chen ◽  
Xudong Zou
Keyword(s):  
Resonance Frequency ◽  
Integrated Circuit ◽  
Silicon Oxide ◽  
Fem Simulation ◽  
Control Process ◽  
Design Tool ◽  
Piezoelectric Cantilever ◽  
Simulation And Experiment ◽  
Easy Integration ◽  
Tip Displacement

The piezoelectric cantilever resonator is used widely in many fields because of its perfect design, easy-to-control process, easy integration with the integrated circuit. The tip displacement and resonance frequency are two important characters of the piezoelectric cantilever resonator and many models are used to characterize them. However, these models are only suitable for the piezoelectric cantilever with the same width layers. To accurately characterize the piezoelectric cantilever resonators with different width layers, a novel model is proposed for predicting the tip displacement and resonance frequency. The results show that the model is in good agreement with the finite element method (FEM) simulation and experiment measurements, the tip displacement error is no more than 6%, the errors of the first, second, and third-order resonance frequency between theoretical values and measured results are 1.63%, 1.18%, and 0.51%, respectively. Finally, a discussion of the tip displacement of the piezoelectric cantilever resonator when the second layer is null, electrode, or silicon oxide (SiO2) is presented, and the utility of the model as a design tool for specifying the tip displacement and resonance frequency is demonstrated. Furthermore, this model can also be extended to characterize the piezoelectric cantilever with n-layer film or piezoelectric doubly clamped beam.

Nonlinear modeling and simulation of flywheel energy storage rotor system with looseness and rub-impact coupling hitch

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Zhu Youfeng ◽  
Liu Xinhua ◽  
Wang Qiang ◽  
Wang Zibo ◽  
Zang Hongyu
Keyword(s):  
Energy Storage ◽  
Differential Equations ◽  
Nonlinear Modeling ◽  
Storage System ◽  
Energy Storage System ◽  
Rotor System ◽  
Flywheel Energy Storage ◽  
Flywheel Energy Storage System ◽  
New Energy ◽  
Single Disk

Abstract Flywheel energy storage system as a new energy source is widely studied. This paper establishes a dynamic model of a single disk looseness and rub-impact coupling hitch flywheel energy storage rotor system firstly. Then dynamic differential equations of the system under the condition of nonlinear oil film force of the sliding bearing are given. Runge–Kutta method is used to solve the simplified dimensionless differential equations. The effect of variable parameters such as disk eccentricity, stator stiffness and bearing support mass on the system are analyzed. With the increase of eccentricity, the range of period-three motion is significantly reduced and the range of chaotic motion begins to appear in the bifurcation diagram. Meanwhile, stiffness of the stator and mass of the bearing support have a significant influence on the flywheel energy storage rotor system.

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