Abstract

Three-dimensional elliptical vibration assisted cutting technology has been widely used in the past few years. The piezoelectric stack drive structure is an important part of the three-dimensional elliptical vibration aided cutting system. Its piezoelectric hysteresis characteristics affects the final output of the elliptical trajectory. Aiming at this problem, a piezoelectric hysteresis modeling method based on a generalized Bouc–Wen model is presented in this paper. An improved flower pollination algorithm (IFPASO) was used to identify Bouc–Wen model parameters. Standard test result shows that IFPASO has better algorithm performance. The model identification effect experiment proved that the Bouc–Wen model obtained by IFPASO identification, the highest modeling accuracy of the three axial subsystems, can reach 98.86%. Therefore, the model can describe the piezoelectric hysteresis characteristics of the three axial subsystems of the 3D-EVC system effectively and has higher modeling accuracy and fitting accuracy.

Highlights

  • In order to verify whether the Bouc–Wen model obtained through parameter identification can accurately describe the hysteresis nonlinearity exhibited by the 3D-elliptical vibration cutting (EVC) system, the hysteresis curve output under the Bouc–Wen model was fitted with the actual hysteresis curve under 50 Hz excitation and the fitting error was calculated

  • From the hysteresis curve fitting and fitting error of the three axial subsystems, it can be seen that the Bouc–Wen model obtained by using the IFPASO algorithm proposed in this paper for parameter identification can effectively and accurately describe the hysteresis of the 3D-EVC system

  • This paper focuses on the 3D-EVC system due to the piezoelectric hysteresis characteristics that affect the precision machining accuracy and the output of the elliptical trajectory

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. C et al [3] established a mechanical analysis model and conducted cutting experiments on ceramic materials, which proved the effectiveness of elliptical vibration cutting On this basis, experts and scholars proposed three-dimensional elliptical vibration cutting (3D-EVC) on the basis of two-dimensional elliptical vibration cutting and divided it into. There are few studies on the hysteresis and nonlinear characteristics of the piezoelectric stack structure in the non-resonant 3D-EVC system. The Bouc–Wen model will be used to describe the hysteresis nonlinearity exhibited by the 3D-EVC system and an improved flower pollination algorithm will be used to identify the parameters of the model. Since the piezoelectric stack is a vital component in the entire non-resonant 3D-EVC system, the piezoelectric hysteresis characteristics of the piezoelectric material will seriously affect the output of the final elliptical trajectory and the control of the entire processing system accuracy. We will consider the use of a piezoelectric hysteresis model to describe the axial motion of the non-resonant 3D-EVC system

The Structure of the 3D-EVC System
Bouc–Wen Model
Flower Pollination Algorithm (FPA)
Dynamic Switching Probability Strategy
Early-Stage Particle Swarm Optimization
15: Output the best solution found
32: Output the final best solution found
Result
Experimental
Parameter Identification of Bouc–Wen Model
Test of Model Identification Effect
Findings
Conclusions

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