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A polyhedral bound on the indeterminate contact forces in 2D fixturing and grasping arrangements

Rimon, Elon and Burdick, Joel W. and Omata, Toru (2003) A polyhedral bound on the indeterminate contact forces in 2D fixturing and grasping arrangements. In: 2003 IEEE International Conference on Robotics and Automation. Vol.2. IEEE , Piscataway, NJ, pp. 1817-1823. ISBN 0-7803-7736-2. https://resolver.caltech.edu/CaltechAUTHORS:20190625-102747681

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Abstract

This paper considers 2D contact arrangements where several bodies grasp, fixture, or support an object via frictional point contacts. Within a strictly rigid body modelling paradigm, when an external wrench (i.e. force and torque) acts on the object, the reaction forces at the contacts are indeterminate and span an unbounded linear space. This paper analyzes the contact forces within a quasi-rigid body framework that keeps the desirable geometric properties of rigid body modelling, while also includes more realistic physical effects. Using two principles governing the mechanics of quasi-rigid contacts, we show that for any given external wrench acting on the object, the contact forces lie in a bounded polyhedral set. The polyhedral bound depends on the external wrench, the grasp's geometry, and the preload forces. But it does not depend on any detailed knowledge of the contact mechanics parameters. The bound is useful for "robust" grasp and fixture synthesis. Given a collection of external wrenches that may act on an object, the grasp's geometry and preload forces can be chosen such that all of these external wrenches would be automatically supported by the contacts.


Item Type:Book Section
Related URLs:
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https://doi.org/10.1109/ROBOT.2003.1241859DOIArticle
Additional Information:© 2003 IEEE.
Record Number:CaltechAUTHORS:20190625-102747681
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190625-102747681
Official Citation:E. Rimon, J. W. Burdick and T. Omata, "A polyhedral bound on the indeterminate contact forces in 2D fixturing and grasping arrangements," 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422), Taipei, Taiwan, 2003, pp. 1817-1823 vol.2. doi: 10.1109/ROBOT.2003.1241859
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96694
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Jun 2019 17:56
Last Modified:03 Oct 2019 21:24

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