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A Physical-Geometric Approach to Model Thin Dynamical Structures in CAD Systems

Wiens, Vitalis and Mueller, J. P. T. and Weber, Andreas G. and Michels, Dominik L. (2014) A Physical-Geometric Approach to Model Thin Dynamical Structures in CAD Systems. In: Computational Science and Its Applications – ICCSA 2014. Lecture Notes in Computer Science. No.8581. Springer , Cham, Switzerland, pp. 795-808. ISBN 978-3-319-09149-5. https://resolver.caltech.edu/CaltechAUTHORS:20170719-104732063

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Abstract

The efficient accurate modeling of thin, approximately one-dimensional structures, like cables, fibers, threads, tubes, wires, etc. in CAD systems is a complicated task since the dynamical behavior has to be computed at interactive frame rates to enable a productive workflow. Traditional physical methods often have the deficiency that the solution process is expensive and heavily dependent on minor details of the underlying geometry and the configuration of the applied numerical solver. In contrast, pure geometrical methods are not able to handle all occurring effects in an accurate way. To overcome this shortcomings, we present a novel and general hybrid physical-geometric approach: the structure’s dynamics is handled in a physically accurate way based on the special Cosserat theory of rods capable of capturing effects like bending, twisting, shearing, and extension deformations, while collisions are resolved using a fast geometric sweep strategy which is robust under different numerical and geometric resolutions. As a result, fast editable high quality tubes can easily be designed including their dynamical behavior.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1007/978-3-319-09150-1_58DOIArticle
https://link.springer.com/chapter/10.1007%2F978-3-319-09150-1_58PublisherArticle
http://rdcu.be/ujDgPublisherFree ReadCube access
ORCID:
AuthorORCID
Wiens, Vitalis0000-0002-1270-8861
Additional Information:© 2014 Springer International Publishing Switzerland. We are grateful to Christoph Peters and Ralf Sarlette for helpful suggestions and discussions. Moreover our thanks go to the anonymous reviewers for many critical comments and feedback. Finally, the partial financial support of the German National Merit Foundation is also gratefully acknowledged.
Funders:
Funding AgencyGrant Number
German National Merit FoundationUNSPECIFIED
Subject Keywords:CAD; Cosserat Theory of Rods; Fiber Modeling; Fiber Simulation; Geometric Collision Handling
Series Name:Lecture Notes in Computer Science
Issue or Number:8581
Record Number:CaltechAUTHORS:20170719-104732063
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170719-104732063
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79204
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Jul 2017 19:06
Last Modified:03 Oct 2019 18:17

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