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Isogeometric Analysis and Shape Optimization of Holed Structures via the patch removing Technique

Computer Modeling in Engineering & Sciences 2020年第9期124卷 787-806页

作者： Daoyuan Yu Shouyu Cai Wenya Fan Lan Zhang School of Mechanics and Safety Engineering Zhengzhou UniversityZhengzhou450001China

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 *** 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 *** 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 *** achieve the special condition,a systematic technique consisting of T-spline local refinement and control points substitution/adjustment is *** 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 ***,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 *** examples involving analysis and shape optimization of complex holed structures are presented to demonstrate the effectiveness of the proposed method.

关键词： Isogeometric analysis patch removing shape optimization holed structure

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