Finite element analysis of a ring type ultrasonic motor

Abstract

In this paper, a finite element method to simulate the overall behavior of ultrasonic motor (USM) is proposed. Firstly, an iterative algorithm using ABAQUS ® version 6.4 to solve the contact problem with piezoelectric actuation is presented. In each iteration, the dynamic responses of stator actuated by piezoelectric force and updated contact force are solved, from which static (or steady state) contact between deformed stator and rotor are estimated. For the dynamics of stator, three dimensional solid elements are adopted and direct integration method is used because modal-based procedures do not adequately transform the electric loads into modal loads. Rayleigh damping is adopted with the ratio set to 0.5%. For the contact between deformed stator and rotor, Lagrange multiplier method is used to impose the normal and tangential contact constraints between the stator and rotor respectively. Based on the proposed procedure, given the applied torque, axial force, and piezoelectric drive voltages as inputs, the general measures of motor performance are obtained and compared with published numerical and experimental results. The approach presented here provides a more accurate framework with moderate computational cost for modeling USM and serves as a design tool for optimizing prototypes.

The ring type piezoelectric actuator generating elliptical movement

“…Modal analysis of piezoelectric actuator was performed to find proper resonance frequency. Material damping was assumed in the finite element model [19].…”

Design and Experiment of a Large-Aperture Hollow Traveling Wave Ultrasonic Motor with Low Speed and High Torque

“…Piezoelectric ceramic is a smart material that has elastic constants, piezoelectric constants, and permittivity constants. The damping ratio was set to 0.8% and the driving voltage was set to 100 V pp [24,25]. The working mode of the finite element method (FEM) simulation is shown in Figure 4a.…”

A novel ring type ultrasonic motor with multiple wavenumbers: design, fabrication and characterization

“…Besides the abovementioned eight measured variables, the contact parameters, such as contact pressure and contact area in the stator and rotor interface, are investigated using numerical procedures for analysis of overall behavior of USM presented in [26,43]. Here, the outline of this numerical procedure is introduced.…”

“…Using the setup described in [26], steady-state motor performance is measured under carefully controlled conditions. Parametric studies on varying drive frequency and voltage, and the effect of contact layer have been studied in [43,29,30,50,22]. This paper focused mainly on the performance of USM with different wavenumbers.…”