Analysis of three-dimensional curved beams using isogeometric approach
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TL;DR: In this article, an isogeometric approach is presented for the formulation of finite elements for arbitrary spatially curved 3-D beams, which employ the same Non-Uniform Rational B-Spline interpolations as used in the CAD representations to interpolate both geometry and unknown fields in the finite element analysis, leading to a seamless transition between complex CAD models utilized by architects and the analysis models used by engineers.
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About: This article is published in Engineering Structures. The article was published on 15 Jun 2016. and is currently open access. The article focuses on the topics: Finite element method.
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Citations
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Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli–Euler beam
TL;DR: In this article, the authors focused on the linear analysis of a spatial Bernoulli-Euler beam and rigorously defined metrics of the reference and deformed configurations with respect to the convective coordinate frame of reference.
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References
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Les A. Piegl,Wayne Tiller +1 more
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J. Austin Cottrell,Thomas J. R. Hughes,Yuri Bazilevs +2 more
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TL;DR: Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique.
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TL;DR: In this paper, the concept of k-refinement is explored and shown to produce more accurate and robust results than corresponding finite elements, including rods, thin beams, membranes, and thin plates.
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