Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T07:37:21.572Z Has data issue: false hasContentIssue false

Determination of elastodynamic errors in joints of industrial robots

Published online by Cambridge University Press:  09 March 2009

Ilija Nikolić
Affiliation:
Harvard Robotics Laboratory, Harvard University, Cambridge, MA, 02138

Summary

This paper presents a method for automatic forming and solving dynamic equations of motion of manipulator with elastic joints and rigid segments. For the minimal configuration of a cylindrical manipulator the numerical integration of these equations is performed, and vibrations in the joints are obtained as dynamic errors with respect to the prescribed trajectory.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Vukobratović, M. & Potkonjak, V., “Computational Method for Modelling of Dynamic of Manipulators with Elastic CharacteristicsTechn. Cybernetics No. 5, 131141 (1982) (in Russian).Google Scholar
2.Nikolić, I., “Elastodynamic Analysis of Mechanisms of Industrial Robots” Ph.D. Thesis University Edvard Kardelj, Ljubljana, Yugoslavia (06, 1985) (in Serbian).Google Scholar
3.Owakimov, A.G. & Sergeew, A.V., “Matrix of Compliances Manipulator Driving Transmitters and its Contribution to Calculation of Static Errors of PositionMashinovedenie AN SSSR, No. 3, 4049 (1980). (in Russian).Google Scholar
4.Grebenikow, O.P., Koloiskiy, M.Z. & Myrkina, A.S., “Determination of Dynamic Errors of Industrial Manipulators MechanismsMashinovedenie AN SSSR, No. 3, 3339 (1980) (in Russian).Google Scholar
5.Stepanenko, Yu. & Vukobratović, M., “Dynamics of Articulated Open Chain Active MechanismsMath. Biosciences 28, Nos. 1/2, 137170 (1976).CrossRefGoogle Scholar
6.Sunada, W. & Dubovsky, S., “The Application of Finite Element Method to the Dynamic Analysis of Flexible Spatial and Co-Planar Linkage SystemsASME J. Mech. Design 103, No. 3, 643651 (1981).Google Scholar
7.Sunada, W. & Dubovsky, S., “On the Dynamic Analysis and Behaviour Industrial Robotic Manipulators with Elastic MembersASME J. Mech. Transmiss, and Automation in Design 105, No. 1, 4251 (03, 1983).CrossRefGoogle Scholar
8.Nikolić, I. & Vukobratović, M., “Contribution to Flexible Manipulators Dynamic Using Finite Element MethodProc. 1st Soviet-Yugoslav Symposium on Applied Robotics Moscow 145150 (02 1983).Google Scholar
9.Nikolić, I., Vukobratović, M. & Kojić, M., “The Contribution to the Study of Flexible Manipulation RobotsProc. 6th IFToMM World Congress New Delhi 10211024 (15–18. 12 1983).Google Scholar
10.Carnahan, B., Luther, H.A. & Wilkes, J. O., Applied Numerical Methods, (Wiley, New York, 1969).Google Scholar
11.Tschernousko, F.L., “Investigation of Dynamics of Manipulation Robots with Taking into Account their Elastic PropertiesProc 1st Soviet-Yogoslav symposium on Appl. Robotics Moscow 9195 (02, 1983).Google Scholar