Multiresolution topology optimization using isogeometric analysis

2017 ◽  
Vol 112 (13) ◽  
pp. 2025-2047 ◽  
Author(s):  
Qui X. Lieu ◽  
Jaehong Lee
2018 ◽  
Vol 58 (4) ◽  
pp. 1335-1350 ◽  
Author(s):  
Deepak K. Gupta ◽  
Matthijs Langelaar ◽  
Fred van Keulen

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Ingo Muench ◽  
Markus Klassen ◽  
Werner Wagner

2020 ◽  
Vol 7 (4) ◽  
pp. 514-526
Author(s):  
Zijun Wu ◽  
Shuting Wang ◽  
Renbin Xiao ◽  
Lianqing Yu

Abstract This paper develops a new topology optimization approach for minimal compliance problems based on the parameterized level set method in isogeometric analysis. Here, we choose the basis functions as level set functions. The design variables are obtained with Greville abscissae based on the corresponding collocation points. The zero-level set boundaries are derived from the level set function values of the interpolation points in all knot spans. In the optimization iteration process, the whole design domain is discretized into two types of subdomains around the zero-level set boundaries, undesign area with void materials and redesign domain with solid materials. To decrease the size of equations and the computational consumptions, only the solid material area is recalculated and the void material area is discarded according to the high accuracy of isogeometric analysis. Numerical examples demonstrate the validity of the proposed optimization method.


2020 ◽  
Vol 371 ◽  
pp. 113306 ◽  
Author(s):  
Chuong Nguyen ◽  
Xiaoying Zhuang ◽  
Ludovic Chamoin ◽  
Xianzhong Zhao ◽  
H. Nguyen-Xuan ◽  
...  

2009 ◽  
Vol 41 (4) ◽  
pp. 525-539 ◽  
Author(s):  
Tam H. Nguyen ◽  
Glaucio H. Paulino ◽  
Junho Song ◽  
Chau H. Le

2015 ◽  
Vol 53 (4) ◽  
pp. 673-694 ◽  
Author(s):  
Evgueni T. Filipov ◽  
Junho Chun ◽  
Glaucio H. Paulino ◽  
Junho Song

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