Isogeometric Analysis and Shape Optimization of Holed Structures via the Patch Removing Technique
作者机构：School of Mechanics and Safety EngineeringZhengzhou UniversityZhengzhou450001China
出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)
年 卷 期：2020年第124卷第9期
页 面：787-806页
核心收录：
学科分类：08[工学] 080502[工学-材料学] 0805[工学-材料科学与工程（可授工学、理学学位）]
基 金：This work is supported by National Natural Science Foundation of China(Project No.11702254,SC,www.nsfc.gov.cn) Postdoctoral Science Foundation of China(Project No.2016M592306,SC,www.chinapostdoctor.org.cn) Key Scientific Research Project in Higher Education Institutions of Henan Province(Project No.17A130001,SC,www.haedu.gov.cn)
主 题：Isogeometric analysis patch removing shape optimization holed structure
摘 要：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.
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