Abstract

For developing an active workpiece holder, piezo actuators are used to apply compensation forces and displacements. These actuators suffer from hysteresis effects which impair accuracy and performance. The focus of this work is the modelling of the actuator’s hysteresis and establishing a corresponding inverse model to compensate the effect in an open-loop approach. The model, on the basis of easy to calculate sigmoid functions, is shown to yield good linearization of the actuator’s behavior.

Highlights

  • Vibrations and chatter are common problems in milling processes and affect surface quality and productivity

  • The goal is to examine, model and compensate hysteresis effects in order to ensure precise actuation conforming to the models calculation

  • The corresponding inverse model is established to compensate the hysteresis in an open-loop inverse model based approach

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Summary

Introduction

Vibrations and chatter are common problems in milling processes and affect surface quality and productivity. Active workpiece holders are shown to offer effective countermeasures by compensating occurring vibration between work piece and tool [1]. The newly developed FixTronic advances existing approaches by establishing a new Linear Parameter-Varying Model (LPV-Model), which describes the changing workpiece dynamic during milling. Piezo actuators provide the necessary forces or displacements. The goal is to examine, model and compensate hysteresis effects in order to ensure precise actuation conforming to the models calculation. A hysteresis model, formerly used for shape memory alloys, is adopted for the piezo actuator. The corresponding inverse model is established to compensate the hysteresis in an open-loop inverse model based approach

Hysteresis in piezoelectric actuators
Sigmoid-based hysteresis model
Forward model
Inverse model
Measurement setup
Hysteresis identification and forward model
Experimental validation of forward model and open-loop compensation
Conclusions
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