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)
Source
Abstract
References70
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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...
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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...
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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...
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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...
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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...
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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 ...
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