NDLI: Constitutive relation for exact model of a Cosserat elastic rod

Content Provider	IEEE Xplore Digital Library
Author	Yu Jian Wei Xue Yun
Copyright Year	2010
Description	Author affiliation: School of Mechanical and Automation Engineering, Shanghai Institute of Technology, China (Yu Jian Wei; Xue Yun)
Abstract	There are wide backgrounds of applications of a thin elastic rod. For an exact model of a Cosserat elastic rod which are not only bending and torsion but also shearable and extensible, constitutive relation for principal vector and principal moment on a cross section versus displacements of the section with arc coordinate are derived from Hooke's low. It shows that derivative of generalized coordinates in bending components of curvature-twisting vector and axial components of strain vector of center of a cross section which are all composed of linear strain is about arc coordinate before deflection of the rod. And the one in torsion components of curvature-twisting vector and shear components of strain vector of center of a cross section which are all composed of shearing strain is about arc coordinate after deflection of the rod. In the senses of first-order approximation, the principal vector is proportional to the strain vector of a point in the center line, and the principal moment is also proportional to the curvature-twisting vector about intrinsic arc coordinate.
Starting Page	6262
Ending Page	6265
File Size	258964
Page Count	4
File Format	PDF
ISBN	9781424477371
e-ISBN	9781424477395
DOI	10.1109/MACE.2010.5535517
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Automation Curvature-twisting vector DNA Cosserat elastic rod Vectors Capacitive sensors Arc coordinate Constitutive relation Exact model Shearing
Content Type	Text
Resource Type	Article

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