Closed Form Solution to Workspace of Hexapod-Based Virtual Axis Machine Tools-Reference-Cited by-同舟云学术

Closed Form Solution to Workspace of Hexapod-Based Virtual Axis Machine Tools

Published:1999-03-01 Issue:1 Volume:121 Page:26-31
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Huang T.¹,Wang J.²,Whitehouse D. J.³

Affiliation:

1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P.R. China

2. School of Mechanical Engineering, Tsinghua University, Beijing 100083, P.R. China

3. Department of Engineering, University of Warwick, Coventry, CV4 7AL, UK

Abstract

A novel methodology is presented in this paper for the workspace analysis of virtual axis machine tools. The workspace is defined which enables to describe in a unified framework both the position and orientation capabilities of the mobile platform. Given a range of the orientation of the mobile platform, the piecewise closed solution to the workspace boundary is formulated. It is indicated for the first time that the workspace boundary in fact is the cap of twelve envelope surfaces. Two examples are given to illustrate the effectiveness of this approach.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/121/1/26/5797169/26_1.pdf

Reference19 articles.

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3. Eisenhart, L. P., 1960, A Treatise on the Differential Geometry of Curves and Surfaces, Dover Publications, Inc., New York.

4. Huang, T., Wang, J. S., and Whitehouse, D. J., 1997, “An Effective Algorithm for Workspace Evaluation of Virtual Axis Machine Tools,” Proc. of Int. Conf. on Mechanisms and Machinery Transmission, China.

5. Huang T. , WhitehouseD. J., and WangJ. S., 1998, “Local Dexterity, Optimal Architecture and Design Criteria of Parallel Machine Tools,” CIRP Annals, Vol. 47, No. 1, pp. 347–351.

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