A screw theory of static beams

Conference paper

Selig, JM and Ding, X (2001). A screw theory of static beams. IEEE International Conference on Intelligent Robots and Systems. San Diego, CA, USA 29 Oct - 03 Nov 2001 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/IROS.2001.973376
AuthorsSelig, JM and Ding, X
TypeConference paper
Abstract

In this article we derive the deflection equation of a simple beam using screw theory. The effects of tension, torsion and bending of the beam can be unified into a single equation. We begin by looking at the compliance matrix for small elements of the beam. This is loosely based on work by von Mises in the 1920s. We reproduce von Mises results for the compliance matrix of the entire beam by integrating along the beam. This allows us to make some general comments concerning the use of beams as compliant design element. Then we derive the equation for the deflection of the beam considering the deflection as a rigid body motion.

“© 2001 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Year2001
JournalIEEE International Conference on Intelligent Robots and Systems
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Journal citation1, pp. 312 - 317
Digital Object Identifier (DOI)https://doi.org/10.1109/IROS.2001.973376
Accepted author manuscript
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Publication dates
Print29 Oct 2001
Publication process dates
Deposited25 Jan 2017
Accepted29 Oct 2001
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