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Published in: Engineering with Computers 3/2011

01-07-2011 | Original Article

CAD-integrated analysis of 3-D beams: a surface-integration approach

Authors: Wa’el Abdel Samad, Krishnan Suresh

Published in: Engineering with Computers | Issue 3/2011

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Abstract

Most engineering artifacts are designed and analyzed today within a 3-D computer aided design (CAD) environment. However, slender objects such as beams are designed in a 3-D environment, but analyzed using a 1-D beam-element, since their 3-D analysis exhibits locking and/or is computationally inefficient. This process is tedious and error-prone. Here, we propose a dual-representation strategy for designing and analyzing 3-D beams, directly within a 3-D CAD environment. The proposed method exploits classic 1-D beam physics, but is implemented within a 3-D CAD environment by appealing to the divergence theorem. Consequently, the proposed method is numerically and computationally equivalent to classic 1-D beam analysis for uniform cross-section beams. But, more importantly, it closely matches the accuracy of a full-blown 3-D finite element analysis for non-uniform beams.

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Appendix
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Metadata
Title
CAD-integrated analysis of 3-D beams: a surface-integration approach
Authors
Wa’el Abdel Samad
Krishnan Suresh
Publication date
01-07-2011
Publisher
Springer-Verlag
Published in
Engineering with Computers / Issue 3/2011
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-010-0191-9

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