Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Freeman, J.M.; Ford, Derek G. (2003)
Publisher: Professional Engineering Publishing
Languages: English
Types: Article
Subjects: TJ
This paper presents a general mathematical treatment of serial manipulators, an\ud important example of which is the servo head. The paper includes validation by application to the\ud angle head via comparison with the previously known transformations and a new application to the\ud error analysis of the angle head.\ud The usual approach to the error analysis of a servo head is to develop a geometrical model by\ud elementary geometrical considerations using trigonometric relationships and various simplifying\ud assumptions. This approach is very error prone, difŽ cult to verify and extremely time consuming. The\ud techniques described here constitute matrix methods that have been programmed in a general way to\ud derive automatically the analytical equations relating the angles of rotation of the head and alignment\ud errors in the head to the position of the tool and errors in that position. The approach is to use\ud rotation and transformation matrices to evaluate the in� uence of the various errors such as offsets\ud and angular errors. A general approach to the sign convention and notation for angular errors is\ud presented in an attempt to reduce the possibility of errors of deŽ nition.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • 1 Postlethwaite, S. R. Electronic based accuracy enhancement of CN C machine tools. PhD thesis, The U niversity of H udders eld, 1992.
    • 2 Ford, D. G., Postlethwaite, S. R. and Morton, D. Error compensation applied to high precision machinery. In Proceedings of the 1st International Conference on Laser M etrology and M achine Performance-L A M DA M A P '93 , 1993, pp. 105-112 (Computational M echanics Publications, Southampton and Boston).
    • 3 Chen, X. B. and Geddam, A. Accuracy improvement of three-axis CN C machining centers by quasi-static error compensation. J. M fg Systems, 1997, 16(5), 323- 336.
    • 4 Postlethwaite, S. R. and Ford, D. G. G eometric error analysis software for CN C machine tools. In Proceedings of the 3rd International Conference on L aser M etrology and M achine Performance-LA M DA M A P '97 , 1997, pp. 305-316 (Computational M echanics Publications, Southampton and Boston).
    • 5 Postlethwaite, S. R. F ive axis error compensation training course. Internal R eport, U ltra Precision Engineering Centre, The University of H udders eld, 1999.
    • 6 Postlethwaite, S. R. and Ford, D. G. A practical system for 5 axis volumetric compensation. In Proceedings of the 4th International Conference on L aser M etrology and M achine Performance-L A M DA M AP '99 , Longhirst H all, Northumberland, 1999, pp. 379-388.
    • 7 Postlethwaite, S. R. Calculation of head offsets for angle-type servo head. Internal R eport, U ltra Precision Engineering Centre, The U niversity of Hudders eld, 1999.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article