B-Ito: A Matlab Toolbox for Isogeometric Topology Optimization with Bézier Extraction of Nurbs DOI
Xiao Zhang, Jie Gao, Liang Gao

et al.

Published: Jan. 1, 2023

As we know, the Bézier extraction operator of NURBS can make isogeometric analysis (IGA) has a similar element data structure to be easily integrated into existing finite codes with few changes. The main intention current paper is give Matlab toolbox topology optimization using NURBS, termed by B-ITO, which provides educational resources for beginners in field and simultaneously lowers learning difficulties this research field. implementations B-ITO have following components: MODEL; PREIGA; BOUND; EXTRABEZIER2D; SHAPE2D; STIFFELE2D; INITIALIZE; SHEPHARD; ASSEMBLE2D; SOLVE; CALCULATE; PLOT; OC. Among them, more important subfunctions are (1) subfunction EXTRABEZIER2D calculates C; (2) SHAPE2D computes basis function its derivatives; (3) STIFFELE2D all solid stiffness matrices. Moreover, identity Bernstein space an individual also considered applied develop another STIFFBEZ2D matrix solution ITO but only rectangular design domains. efficiency much higher than traditional form based on central points. Finally, several numerical examples presented demonstrate effectiveness toolbox, attached Appendix.

Language: Английский

A polygonal topology optimization method based on the alternating active-phase algorithm DOI Creative Commons
Mingtao Cui,

Wennan Cui,

Li Wang

et al.

Electronic Research Archive, Journal Year: 2024, Volume and Issue: 32(2), P. 1191 - 1226

Published: Jan. 1, 2024

<abstract> <p>We propose a polygonal topology optimization method combined with the alternating active-phase algorithm to address multi-material problems. During process of optimization, elements generated by signed distance functions are utilized discretize structural design domain. The volume fraction each material is considered as variable and mapped its corresponding element through filtering matrix. This used solve problem minimizing compliance, in which descriptive model established using solid isotropic microstructure penalty theory. can accomplish structures complex curve boundaries, eliminate phenomena checkerboard patterns one-node connection, avoid sensitivity filtering. In addition, this possesses fine numerical stability high calculation accuracy compared methods that use quadrilateral or triangle elements. effectiveness feasibility demonstrated several commonly representative examples.</p> </abstract>

Language: Английский

Citations

9

Stress-related multi-material structures topology optimization with gradient interfaces DOI

Xiaomei Huang,

Yunmin Chen, Liang Hou

et al.

Composite Structures, Journal Year: 2025, Volume and Issue: unknown, P. 119176 - 119176

Published: April 1, 2025

Language: Английский

Citations

1

An univariate method for multi-material topology optimization and its application to engineering structures with unstructured meshes DOI
Haitao Liao, Wenhao Yuan,

Shigang Ai

et al.

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2025, Volume and Issue: 437, P. 117749 - 117749

Published: Jan. 22, 2025

Language: Английский

Citations

0

Design of cellular stiffened shells via full-scale multi-patch isogeometric topology optimization based on Bézier extraction DOI
Min Huang, Mi Xiao, Haozhong Huang

et al.

Thin-Walled Structures, Journal Year: 2025, Volume and Issue: unknown, P. 113210 - 113210

Published: March 1, 2025

Language: Английский

Citations

0

A closed loop methodology for two-dimensional multi-material topology optimization in Grasshopper using the generalized SIMP method DOI
Efstathios Damtsas, Thanh T. Banh, Dongkyu Lee

et al.

Architectural Science Review, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 15

Published: March 28, 2025

Language: Английский

Citations

0

A C1 continuous multi-patch framework for adaptive isogeometric topology optimization of plate structures DOI
Philip Luke Karuthedath,

Lokanath Barik,

Abhinav Gupta

et al.

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2024, Volume and Issue: 429, P. 117132 - 117132

Published: June 14, 2024

Language: Английский

Citations

3

A robust multi-material topology optimization method considering load and material uncertainties with univariate interpolation DOI
Haitao Liao, Wenhao Yuan, Jing Zhang

et al.

Thin-Walled Structures, Journal Year: 2025, Volume and Issue: unknown, P. 113173 - 113173

Published: March 1, 2025

Language: Английский

Citations

0

A generalized framework towards continuity and computational efficiency in topology optimization using multi-patch isogeometric methods DOI
Philip Luke Karuthedath, Abhinav Gupta,

Bhagath Mamindlapelly

et al.

Engineering With Computers, Journal Year: 2025, Volume and Issue: unknown

Published: April 25, 2025

Language: Английский

Citations

0

Multi-material topology optimisation with design-dependent loads using the ordered EAMP quadratic penalty method DOI

Xiaomei Huang,

Yunmin Chen, Liang Hou

et al.

Journal of Engineering Design, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 28

Published: May 16, 2025

Language: Английский

Citations

0

An efficient isogeometric buckling optimization framework for multi-patch laminated shells: Leveraging 3D solid elements, lamination parameters and penalty method DOI
Kuan Fan, Xinming Li,

Yuechen Hu

et al.

Structures, Journal Year: 2024, Volume and Issue: 69, P. 107212 - 107212

Published: Sept. 14, 2024

Language: Английский

Citations

1