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ARTICLE
Abstract
In this study, a patch removing based Isogeometric analysis (PR-IGA)
method is proposed to conduct the holed structural analysis with only one parametric domain, in which there are also no trimmed elements. The theoretical foundation of this novel patch removing approach is that any holed structure can be
obtained by removing sub-patches (i.e., the holes) from an intact base patch. Since
the parametric domains of these patches are all meshed by rectangular grids, the
elements in the resulted holed structural parametric domain could all be
untrimmed rectangles under certain mapping conditions. To achieve the special
condition, a systematic technique consisting of T-spline local refinement and control points substitution/adjustment is provided. Due to the intactness of parametric
elements, the analysis procedure of holed structures based on the proposed PRIGA is quite simplified and efficient compared to traditional multi-patch and trimming schemes. Moreover, after the deduction of analytical sensitivities related to
structural mass and mechanical responses, the PR-IGA is directly employed in the
holed structural shape optimization to successfully eliminate the need for model
transformation during modeling, analysis and optimization processes. Numerical
examples involving analysis and shape optimization of complex holed structures
are presented to demonstrate the effectiveness of the proposed method.
Keywords
Cite This Article
Yu, D., Cai, S., Fan, W., Zhang, L. (2020). Isogeometric Analysis and Shape Optimization of Holed Structures via the Patch Removing Technique.
CMES-Computer Modeling in Engineering & Sciences, 124(3), 787–806. https://doi.org/10.32604/cmes.2020.09936