MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA
To solve the multi-objective optimization problem of functionally graded plates with cutouts,a method integrating extended isogeometric analysis（ XIGA） and material distribution variation is proposed. For the mechanical calculation of functionally graded plates with cutouts,the third-order shear def...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2021-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.05.012 |
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| _version_ | 1841535981467992064 |
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| author | WANG Chao LIU Tao GU JiMing XIE NengGang |
| author_facet | WANG Chao LIU Tao GU JiMing XIE NengGang |
| author_sort | WANG Chao |
| collection | DOAJ |
| description | To solve the multi-objective optimization problem of functionally graded plates with cutouts,a method integrating extended isogeometric analysis（ XIGA） and material distribution variation is proposed. For the mechanical calculation of functionally graded plates with cutouts,the third-order shear deformation theory is introduced,and the extended geometric analysis is adopted. To improve the numerical accuracy,the quadtree adaptive gauss integral is used in the hole boundary region.The B-spline function is used to replace the traditional functional grade material distribution function in the description of material properties. In the optimization process,the control points describing material distribution are taken as design variables to establish multi-objective optimization problems with the largest first natural frequency,the smallest plate mass and the largest buckling critical parameters. The NSGA-II algorithm is selected as the optimization algorithm. The effectiveness of the proposed algorithm is demonstrated by some examples in this paper. |
| format | Article |
| id | doaj-art-ded7651765aa49ce82298c70bb1a17d4 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2021-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-ded7651765aa49ce82298c70bb1a17d42025-01-15T02:25:29ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692021-01-01431095110330611990MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGAWANG ChaoLIU TaoGU JiMingXIE NengGangTo solve the multi-objective optimization problem of functionally graded plates with cutouts,a method integrating extended isogeometric analysis（ XIGA） and material distribution variation is proposed. For the mechanical calculation of functionally graded plates with cutouts,the third-order shear deformation theory is introduced,and the extended geometric analysis is adopted. To improve the numerical accuracy,the quadtree adaptive gauss integral is used in the hole boundary region.The B-spline function is used to replace the traditional functional grade material distribution function in the description of material properties. In the optimization process,the control points describing material distribution are taken as design variables to establish multi-objective optimization problems with the largest first natural frequency,the smallest plate mass and the largest buckling critical parameters. The NSGA-II algorithm is selected as the optimization algorithm. The effectiveness of the proposed algorithm is demonstrated by some examples in this paper.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.05.012Extended isogeometric analysisFunctionally grade platesCutoutsMulti-objective optimiztionMaterial distributionThird-order shear deformation theory |
| spellingShingle | WANG Chao LIU Tao GU JiMing XIE NengGang MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA Jixie qiangdu Extended isogeometric analysis Functionally grade plates Cutouts Multi-objective optimiztion Material distribution Third-order shear deformation theory |
| title | MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA |
| title_full | MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA |
| title_fullStr | MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA |
| title_full_unstemmed | MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA |
| title_short | MULTI-OBJECTIVE OPTIMIZATION OF MATERIAL DISTRIBUTION FOR FUNCTIONALLY GRADE PLATES WITH CUTOUTS BASED ON XIGA |
| title_sort | multi objective optimization of material distribution for functionally grade plates with cutouts based on xiga |
| topic | Extended isogeometric analysis Functionally grade plates Cutouts Multi-objective optimiztion Material distribution Third-order shear deformation theory |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.05.012 |
| work_keys_str_mv | AT wangchao multiobjectiveoptimizationofmaterialdistributionforfunctionallygradeplateswithcutoutsbasedonxiga AT liutao multiobjectiveoptimizationofmaterialdistributionforfunctionallygradeplateswithcutoutsbasedonxiga AT gujiming multiobjectiveoptimizationofmaterialdistributionforfunctionallygradeplateswithcutoutsbasedonxiga AT xienenggang multiobjectiveoptimizationofmaterialdistributionforfunctionallygradeplateswithcutoutsbasedonxiga |