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Locking-free isogeometric collocation methods for spatial Timoshenko rods
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DOI：10.1016/j.cma.2013.03.009.png)
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Abstract
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In this work we present the application of isogeometric collocation techniques to the solution of spatial Timoshenko rods. The strong form equations of the problem are presented in both displacement-based and mixed formulations and are discretized via NURBS-based isogeometric collocation. Several numerical experiments are reported to test the accuracy and efficiency of the considered methods, as well as their applicability to problems of practical interest. In particular, it is shown that mixed collocation schemes are locking-free independently of the choice of the polynomial degrees for the unknown fields. Such an important property is also analytically proven. (C) 2013 Elsevier B.V. All rights reserved.
Keywords:
Isogeometric analysis
Collocation methods
NURBS
Spatial Timoshenko rod
Locking-free methods
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