Title: Kinematical design of a precision cylindrical grinder with volumetric error modelling and sensitivity analysis

Authors: R. Vairamuthu; B. Vijaya Raghavendhra; N. Ramesh Babu

Addresses: Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India ' Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India ' Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India

Abstract: Volumetric accuracy is one among several factors used to assess the quality and performance of a machine tool. Besides its use for assessing the performance of machine tool, the estimation of volumetric accuracy of a machine tool can also be used for compensation of volumetric errors or to study the influence of individual errors on the accuracy of machine tool. In this work, a kinematic model is developed for a cylindrical grinding machine tool to predict the volumetric accuracy of the machine and is experimentally validated. The developed model is used to analyse the influence of geometric and kinematic errors on the volumetric accuracy of the machine tool using a differential sensitivity analysis approach. On the basis of this analysis, critical geometric and kinematic errors and related functional elements in the machine tool assembly are identified. Suitable modifications in terms of design and assembly practices for those machine tool elements are proposed in order to improve the accuracy of the machine.

Keywords: cylindrical grinding; kinematic modelling; error mapping; homogenous transformation matrix; volumetric accuracy; sensitivity analysis; critical errors; geometric errors; kinematic errors; axis straightness errors; spindle run-out; machine tool performance.

DOI: 10.1504/IJPTECH.2016.079999

International Journal of Precision Technology, 2016 Vol.6 No.3/4, pp.193 - 215

Received: 05 Apr 2016
Accepted: 22 Aug 2016
Published online: 26 Oct 2016 *

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