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Kinematic Modeling and Calibration of a Flexure Based Hexapod Nanopositioner

Published

Author(s)

Hongliang Shi, Hai-Jun Su, Nicholas Dagalakis, John A. Kramar

Abstract

This paper covers the kinematic modeling of a flexure-based, hexapod nanopositioner and a new method of calibration for this type of nanopositioner. This six degrees of freedom tri-stage nanopositioner can generate small displacement, high-resolution motions with high accuracy by actuating three inexpensive, high quality planar stages. Each stage is equipped with linear actuators. In this paper, we discuss the calibration of the nanopositioner and methods to improve its accuracy. First, we derive the kinematic model of the nanopositioner that is a Stewart platform with spherical joints. Based on this kinematic model, we then calculate the actuation data for a set of commands for decoupled and coupled motions. We use an interferometer and an autocollimator to measure the actual displacement and rotation of the platform. Finally, we obtain the Jacobian matrix of the moving platform for the controller. Experiments showed that with the calibration-corrected parameters, the maximum error is approximately 0.002◦ in rotations and 3.3 μm in translation for a workspace of ± 0.2◦ and ±200 μm in x, y and z direction.
Citation
Precision Engineering-Journal of the International Societies for Precision Engineering and Nanotechnology
Volume
37
Issue
1

Keywords

Metrology, Nanopositioner, Manipulation, Manufacturing

Citation

Shi, H. , Su, H. , Dagalakis, N. and Kramar, J. (2012), Kinematic Modeling and Calibration of a Flexure Based Hexapod Nanopositioner, Precision Engineering-Journal of the International Societies for Precision Engineering and Nanotechnology, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=911830 (Accessed May 26, 2024)

Issues

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Created August 20, 2012, Updated October 12, 2021