A global formulation for complex rod structures in isogeometric analysis
International Journal of Mechanical Sciences, ISSN: 0020-7403, Vol: 115, Page: 736-745
2016
- 14Citations
- 13Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
Linear elasticity analysis of complex rod structure in the framework of isogeometic analysis is researched. An efficient global formulation for spatial Timoshenko rod structure is proposed, in which the general geometric form of complex rod structure with arbitrary curvatures and torsions described by multi-patches is adopted. The Frenet–Serret formula is used for the derivatives of direction vector with respect to the arc length of the rod, and a concise local strain formula with respect to the global control variables is obtained. The element stiffness matrices are calculated in global coordinate system therefore they can be assembled directly, which makes present formulation suitable for multi-patch connection. The performance with respect to the number of quadrature points are tested, and the results indicate that reduced integration schemes could be adopted to improve the performance. The effectiveness of proposed formulation is verified by numerical analyses of complex structures. Comparison with the local form formulation shows that the proposed formulation has less computational cost for multi-patch simulation, and is easier to be post-processed as well.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0020740316301436; http://dx.doi.org/10.1016/j.ijmecsci.2016.07.031; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84982239040&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0020740316301436; https://dx.doi.org/10.1016/j.ijmecsci.2016.07.031
Elsevier BV
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