An Approach for Geometrically Nonlinear Topology Optimization Using Moving Wide-Bézier Components With Constrained Ends

Published on Jan 1, 2022in Journal of Mechanical Design2.652
· DOI :10.1115/1.4051872
Benliang Zhu16
Estimated H-index: 16
(SCUT: South China University of Technology),
Rixin Wang4
Estimated H-index: 4
(SCUT: South China University of Technology)
+ 5 AuthorsShinji Nishiwaki42
Estimated H-index: 42
(Kyoto University)
#1Benliang Zhu (SCUT: South China University of Technology)H-Index: 16
#2Rixin Wang (SCUT: South China University of Technology)H-Index: 4
Last. Shinji Nishiwaki (Kyoto University)H-Index: 42
view all 6 authors...
This paper presents a structural topology optimization method using moving wide Bezier components with constrained ends. In the proposed method, components which are determined by using Bezier curves with a certain width are regarded as design units. These wide Bezier curves are represented by using level set functions. The control points of such wide Bezier curves are taken as design variables. In addition, based on that principle, in order to form one single connected load-bearing structure, t...
2 CitationsSource
#1Yongsheng Han (NPU: Northwestern Polytechnical University)H-Index: 4
#2Bin Xu (NPU: Northwestern Polytechnical University)H-Index: 9
Last. Yuanhao Liu (NPU: Northwestern Polytechnical University)H-Index: 2
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Abstract This paper proposes to investigate topology optimization of continuum structures with density-dependent inertial loads which including self-weight, centrifugal forces, the magnitude and direction of the acceleration of inertial loads in order to make topology optimization more realistic. By using an extended bi-directional evolutionary structural optimization (BESO) method, this work presents an extension of this procedure to deal with maximum stiffness (minimum compliance) topology opt...
4 CitationsSource
#1Jun Wu (TU Delft: Delft University of Technology)H-Index: 19
#2Ole Sigmund (DTU: Technical University of Denmark)H-Index: 81
Last. J. P. Groen (DTU: Technical University of Denmark)H-Index: 10
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Multi-scale structures, as found in nature (e.g., bone and bamboo), hold the promise of achieving superior performance while being intrinsically lightweight, robust, and multi-functional. Recent years have seen a rapid development in topology optimization approaches for designing multi-scale structures, but the field actually dates back to the seminal paper by Bendsoe and Kikuchi from 1988 (Computer Methods in Applied Mechanics and Engineering 71(2): pp. 197–224). In this review, we intend to ca...
10 CitationsSource
#1S. J. van den Boom (TU Delft: Delft University of Technology)H-Index: 1
#2Jian Zhang (TU Delft: Delft University of Technology)H-Index: 3
Last. Alejandro M. Aragón (TU Delft: Delft University of Technology)H-Index: 13
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During design optimization, a smooth description of the geometry is important, especially for problems that are sensitive to the way interfaces are resolved, e.g., wave propagation or fluid-structure interaction. A level set description of the boundary, when combined with an enriched finite element formulation, offers a smoother description of the design than traditional density-based methods. However, existing enriched methods have drawbacks, including ill-conditioning and difficulties in presc...
2 CitationsSource
#1Van-Nam Hoang (Vietnam Maritime University)H-Index: 9
#2Hoang B. Nguyen (Ho Chi Minh City University of Transport)H-Index: 2
Last. Hung Nguyen-Xuan (Sejong University)H-Index: 69
view all 3 authors...
Abstract In this paper, an efficient explicit topology optimization approach to nearly incompressible materials was proposed. The crucial idea is based on a smooth projection of discrete moving morphable bars (MMBs) onto an analytical grid of polytopal composite finite elements (PCEs). The PCEs, which are built with piecewise linear shape functions and assumed strain fields, aim to mitigate the inherent volumetric locking issue and accurately model nearly incompressible materials. Unlike most ex...
4 CitationsSource
#1Sheng Chu (HUST: Huazhong University of Science and Technology)H-Index: 9
#2Zan Yang (HUST: Huazhong University of Science and Technology)H-Index: 8
Last. Liang Gao (HUST: Huazhong University of Science and Technology)H-Index: 65
view all 6 authors...
Abstract Inspired by venation patterns of leaves, the new polyline-based core sandwich structures (PCSSs) are developed in this paper. A novel approach is proposed under explicit topology optimization framework based on surrogate-assisted evolutionary algorithm. Specifically, a multi-component topology description function is defined to characterize the shapes of polyline-based cores, and therefore the dimension of design variables in topology optimization of PCSSs is reduced to only tens of dim...
4 CitationsSource
#1Fabian Wein (FAU: University of Erlangen-Nuremberg)H-Index: 9
#2Peter D. DunningH-Index: 13
Last. Julián A. Norato (UConn: University of Connecticut)H-Index: 16
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In this review we identify a new category of methods for implementing and solving structural optimization problems that has emerged over the last 20 years, which we propose to call feature-mapping methods. The two defining aspects of these methods are that the design is parameterized by a high-level geometric description and that features are mapped onto a non-body-fitted mesh for analysis. One motivation for using these methods is to gain better control over the geometry to, for example, facili...
18 CitationsSource
#1Hang Yang (North University of China)H-Index: 1
#2Jinying Huang (North University of China)H-Index: 1
Traditional topology optimization frameworks are mostly implicit, and it is often difficult to accurately describe their final optimization results. The traditional topology optimization involves many design variables, which largely increase the computational cost. In the study, based on the descriptions of areas, an explicit topology optimization method utilizing moving morphable components (MMCs) is proposed. The topological description function (TDF) is constructed with the descriptions of ar...
4 CitationsSource
#1Yundong Gai (DUT: Dalian University of Technology)H-Index: 1
#2Xuefeng Zhu (DUT: Dalian University of Technology)H-Index: 10
Last. Ping Hu (DUT: Dalian University of Technology)H-Index: 21
view all 5 authors...
In this paper, we propose an explicit isogeometric topology optimization approach based on moving morphable voids (MMVs) with closed B-spline boundary curves, named TOP-IGA-MMV in short. We model the design domain by a non-uniform rational B-spline (NURBS) patch, and then employ the NURBS-based isogeometric analysis (IGA) for structural response and the well-established adjoint approach for sensitivity analysis. As for the geometry representation of structural topology, we utilize MMVs to descri...
14 CitationsSource
#1Van-Nam Hoang (Vietnam Maritime University)H-Index: 9
#2Ngoc-Linh Nguyen (Sejong University)H-Index: 4
Last. Hung Nguyen-Xuan (Sejong University)H-Index: 69
view all 3 authors...
An explicit topology optimization method for coated structures is proposed by using moving morphable sandwich bars (MMSBs). An MMSB acting as a composite bar has two different material parts with an inner part of the base material and an exterior layer of the coating material. The geometries of an MMSB are mapped onto two different density fields using a fixed grid and the same shortest distance function. The densities of an element are determined depending on whether the element lies inside or ...
17 CitationsSource
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