Journal ArticleDOI
Reliability-based topology optimization
TLDR
Reliability-Based Topology Optimization (RBTO) as mentioned in this paper integrates reliability analysis into topology optimization problems, in which reliability constraints are introduced into a deterministic top-ology optimization formulation.Abstract:
The objective of this work is to integrate reliability analysis into topology optimization problems. The new model, in which we introduce reliability constraints into a deterministic topology optimization formulation, is called Reliability-Based Topology Optimization (RBTO). Several applications show the importance of this integration. The application of the RBTO model gives a different topology relative to deterministic topology optimization. We also find that the RBTO model yields structures that are more reliable than those produced by deterministic topology optimization (for the same weight).read more
Citations
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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
A critical review of established methods of structural topology optimization
TL;DR: In this paper, the authors evaluate and compare established numerical methods of structural topology optimization that have reached the stage of application in industrial software, and they hope that their text will spark off a fruitful and constructive debate on this important topic.
Journal ArticleDOI
Computational methods in optimization considering uncertainties – An overview
TL;DR: In this article, the authors present a brief survey on some of the most relevant developments in the field of optimization under uncertainty, including reliability-based optimization, robust design optimization and model updating.
Journal ArticleDOI
Manufacturing tolerant topology optimization
TL;DR: Applications of the topology optimization method to the design of macro structures for minimum compliance and micro compliant mechanisms show that the method provides manufacturing tolerant designs with little decrease in performance.
Journal ArticleDOI
Length scale and manufacturability in density-based topology optimization
TL;DR: In this paper, a review of recent advancements in obtaining manufacturable topology-optimized designs is presented, focusing on methods for imposing minimum and maximum length scales, and ensuring manufacturable, well-defined designs with robust performances.
References
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Journal ArticleDOI
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more
TL;DR: In this article, the authors present a methodology for optimal shape design based on homogenization, which is related to modern production techniques and consists of computing the optimal distribution in space of an anisotropic material that is constructed by introducing an infimum of periodically distributed small holes in a given homogeneous, i.i.
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Optimal shape design as a material distribution problem
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Journal ArticleDOI
Exact and Invariant Second-Moment Code Format
A. M. Hasofer,Niels C. Lind +1 more
TL;DR: In this article, a fundamental analysis of the meaning of second-moment reliability in multivariate problems is presented, and the format described is entirely derived from one basic assumption concerning the measurement of reliability.
Journal ArticleDOI
Material interpolation schemes in topology optimization
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors analyze and compare the various approaches to this concept in the light of variational bounds on effective properties of composite materials, and derive simple necessary conditions for the possible realization of grey-scale via composites, leading to a physical interpretation of all feasible designs as well as the optimal design.
Journal ArticleDOI
A 99 line topology optimization code written in Matlab
TL;DR: It is shown that only 49 Matlab input lines are required for solving a well-posed topology optimization problem and by adding three additional lines, the program can solve problems with multiple load cases.