Title: Least square curve fitting technique for processing time sampled high speed spindle data

Authors: S. Denis Ashok, G.L. Samuel

Addresses: Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India. ' Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India

Abstract: Radial error measurement of a high speed spindle is commonly affected by speed variations, centring error, form error of master cylinder and thermal drift of the spindle. This paper presents a least square curve fitting technique for processing the high speed spindle data using a mathematical model consisting of a second-order polynomial and sum of sinusoidal functions. Re-sampling method is proposed for accounting the spindle speed variations. Performance of the proposed method is compared with Fourier transform based frequency domain filtering method. Simulation and experimental results confirm the accuracy of the proposed method for analysing the time sampled spindle data. [Received 18 March 2010; Revised 4 October 2010; Accepted 20 October 2010]

Keywords: high speed spindles; radial error motion; modelling; least square method; mathematical modelling; simulation; curve fitting; spindle speed variations; centring errors; form errors; thermal drift.

DOI: 10.1504/IJMR.2011.041129

International Journal of Manufacturing Research, 2011 Vol.6 No.3, pp.256 - 276

Published online: 09 May 2015 *

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