Modeling Nonlinear Behavior in a Piezoelectric Actuator

Hanz Richter; Eduardo A. Misawa; D. A. Lucca; H. Lu

doi:10.1016/S0141-6359(00)00067-2

Modeling Nonlinear Behavior in a Piezoelectric Actuator

Hanz Richter, Eduardo A. Misawa, D. A. Lucca, H. Lu

Oklahoma State University

Research output: Contribution to journal › Article › peer-review

Abstract

A piezoelectric tube actuator is employed as a sample positioning device in Nanocut , a cutting instrument conceived to study the mechanics of nanometric cutting. Extension of functionality of the instrument as a nanometric machine tool motivates the search for an accurate model of the actuator for implementing feedback control. A simple nonlinear model describing longitudinal expansion of the piezoelectric tube actuator is presented in this paper. The model derivation is based on a non-formal analogy with nonlinear viscoelastic materials under uniaxial extension, for which the responses to a step input are similar to the piezoelectric tube. Suitability of the model structure for arbitrary inputs is tested by cross-verification between time and frequency domains. Two parameter estimation procedures are examined and the results of the experimental work for characterization, estimation and validation are presented.

Original language	American English
Journal	Precision Engineering
Volume	25
DOIs	https://doi.org/10.1016/S0141-6359(00)00067-2
State	Published - Apr 1 2001

Keywords

Piezoelectric tube; Nonlinear dynamic models; Nanometric cutting; Rheological models; Nonlinear viscoelasticity

Disciplines

Mechanical Engineering

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Cite this

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title = "Modeling Nonlinear Behavior in a Piezoelectric Actuator",

abstract = " A piezoelectric tube actuator is employed as a sample positioning device in Nanocut , a cutting instrument conceived to study the mechanics of nanometric cutting. Extension of functionality of the instrument as a nanometric machine tool motivates the search for an accurate model of the actuator for implementing feedback control. A simple nonlinear model describing longitudinal expansion of the piezoelectric tube actuator is presented in this paper. The model derivation is based on a non-formal analogy with nonlinear viscoelastic materials under uniaxial extension, for which the responses to a step input are similar to the piezoelectric tube. Suitability of the model structure for arbitrary inputs is tested by cross-verification between time and frequency domains. Two parameter estimation procedures are examined and the results of the experimental work for characterization, estimation and validation are presented.",

keywords = "Piezoelectric tube; Nonlinear dynamic models; Nanometric cutting; Rheological models; Nonlinear viscoelasticity",

author = "Hanz Richter and Misawa, \{Eduardo A.\} and Lucca, \{D. A.\} and H. Lu",

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AU - Richter, Hanz

AU - Misawa, Eduardo A.

AU - Lucca, D. A.

AU - Lu, H.

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PY - 2001/4/1

Y1 - 2001/4/1

N2 - A piezoelectric tube actuator is employed as a sample positioning device in Nanocut , a cutting instrument conceived to study the mechanics of nanometric cutting. Extension of functionality of the instrument as a nanometric machine tool motivates the search for an accurate model of the actuator for implementing feedback control. A simple nonlinear model describing longitudinal expansion of the piezoelectric tube actuator is presented in this paper. The model derivation is based on a non-formal analogy with nonlinear viscoelastic materials under uniaxial extension, for which the responses to a step input are similar to the piezoelectric tube. Suitability of the model structure for arbitrary inputs is tested by cross-verification between time and frequency domains. Two parameter estimation procedures are examined and the results of the experimental work for characterization, estimation and validation are presented.

AB - A piezoelectric tube actuator is employed as a sample positioning device in Nanocut , a cutting instrument conceived to study the mechanics of nanometric cutting. Extension of functionality of the instrument as a nanometric machine tool motivates the search for an accurate model of the actuator for implementing feedback control. A simple nonlinear model describing longitudinal expansion of the piezoelectric tube actuator is presented in this paper. The model derivation is based on a non-formal analogy with nonlinear viscoelastic materials under uniaxial extension, for which the responses to a step input are similar to the piezoelectric tube. Suitability of the model structure for arbitrary inputs is tested by cross-verification between time and frequency domains. Two parameter estimation procedures are examined and the results of the experimental work for characterization, estimation and validation are presented.

KW - Piezoelectric tube; Nonlinear dynamic models; Nanometric cutting; Rheological models; Nonlinear viscoelasticity

UR - https://engagedscholarship.csuohio.edu/enme_facpub/302

U2 - 10.1016/S0141-6359(00)00067-2

DO - 10.1016/S0141-6359(00)00067-2

M3 - Article

VL - 25

JO - Precision Engineering

JF - Precision Engineering

ER -

Modeling Nonlinear Behavior in a Piezoelectric Actuator

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