Journal ArticleDOI
Imposing maximum length scale in topology optimization
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In this article, a technique for imposing maximum length scale on features in continuum topology optimization is presented, where the design domain is searched and local constraints prevent the formation of features that are larger than the prescribed maximum-length scale.Abstract:
This paper presents a technique for imposing maximum length scale on features in continuum topology optimization. The design domain is searched and local constraints prevent the formation of features that are larger than the prescribed maximum length scale. The technique is demonstrated in the context of structural and fluid topology optimization. Specifically, maximum length scale criterion is applied to (a) the solid phase in minimum compliance design to restrict the size of structural (load-carrying) members, and (b) the fluid (void) phase in minimum dissipated power problems to limit the size of flow channels. Solutions are shown to be near 0/1 (void/solid) topologies that satisfy the maximum length scale criterion. When combined with an existing minimum length scale methodology, the designer gains complete control over member sizes that can influence cost and manufacturability. Further, results suggest restricting maximum length scale may provide a means for influencing performance characteristics, such as redundancy in structural design.read more
Citations
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Journal ArticleDOI
Topology optimization approaches: A comparative review
Ole Sigmund,Kurt Maute +1 more
TL;DR: An overview, comparison and critical review of the different approaches to topology optimization, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
Journal ArticleDOI
A survey of structural and multidisciplinary continuum topology optimization: post 2000
TL;DR: Topology optimization is the process of determining the optimal layout of material and connectivity inside a design domain this paper, which is the same as the problem of finding the optimal configuration of a set of components.
Journal ArticleDOI
Level-set methods for structural topology optimization: a review
TL;DR: The convergence behavior of the optimization process is discussed, as well as control over the slope and smoothness of thelevel-set function, hole nucleation and the relation of level-set methods to other topology optimization methods.
Journal ArticleDOI
Topology Optimization in Aircraft and Aerospace Structures Design
TL;DR: In this article, a survey of recent advances of topology optimization techniques applied in aircraft and aerospace structures design is presented, including standard material layout for airframe structures, layout design of stiffener ribs for aircraft panels, multi-component layout design for aerospace structural systems, and multi-fasteners design for assembled aircraft structures.
Journal ArticleDOI
Current and future trends in topology optimization for additive manufacturing
Jikai Liu,Andrew T. Gaynor,Shikui Chen,Zhan Kang,Krishnan Suresh,Akihiro Takezawa,Lei Li,Junji Kato,Jinyuan Tang,Charlie C. L. Wang,Lin Cheng,Xuan Liang,Albert C. To +12 more
TL;DR: The motivation of this perspective paper is to summarize the state-of-art topology optimization methods for a variety of AM topics and the hope is to inspire both researchers and engineers to meet the challenges with innovative solutions.
References
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Journal ArticleDOI
The method of moving asymptotes—a new method for structural optimization
TL;DR: In this article, a new method for non-linear programming in general and structural optimization in particular is presented, in which a strictly convex approximating subproblem is generated and solved.
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Optimal shape design as a material distribution problem
TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
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Morphology-based black and white filters for topology optimization
TL;DR: In this article, the physical stiffness of an element is based on a function of the design variables of the neighboring elements, and a new class of morphology-based restriction schemes that work as density filters is introduced.
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On the Design of Compliant Mechanisms Using Topology Optimization
TL;DR: In this paper, the authors present a method for optimal design of compliant mechanism topologies based on continuum-type topology optimization techniques and find the optimal mechanism topology within a given design domain and a given position and direction of input and output forces.
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Achieving minimum length scale in topology optimization using nodal design variables and projection functions
TL;DR: In this paper, a methodology for imposing a minimum length scale on structural members in discretized topology optimization problems is described, where nodal variables are implemented as the design variables and are projected onto element space to determine the element volume fractions that traditionally define topology.