Journal ArticleDOI
Topology optimization of non-linear elastic structures and compliant mechanisms
T.E. Bruns,Daniel A. Tortorelli +1 more
TLDR
In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-03-16. It has received 1125 citations till now. The article focuses on the topics: Topology optimization & Optimization problem.read more
Citations
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Proceedings ArticleDOI
Topology Optimization via Frequency Tuning of Neural Design Representations
TL;DR: In this paper, a coordinate-based neural network with Fourier feature mapping is proposed to achieve state-of-the-art performance on the compliance minimization problem for a prescribed set of loads.
Journal ArticleDOI
A passive load alleviation aircraft wing: topology optimization for maximizing nonlinear bending–torsion coupling
TL;DR: In this article , the authors exploit geometric nonlinearities of the inner wing structure to maximize the torsion angle, and propose a topology optimization approach to find designs with the desired properties.
Journal ArticleDOI
Application of a modular topology optimization framework to an aerospace bracket design
İstemihan Gökdağ,Erdem Acar +1 more
TL;DR: A modular topology optimization framework that combines useful features of the academic codes and the commercial software tools and provides lower objective function values and converges to the optimum result in fewer iterations than the Altair Optistruct topology optimize software is developed.
Journal ArticleDOI
Uncertainty‐oriented double‐scale topology optimization with macroreliability limitation and micromanufacturing control
Journal ArticleDOI
Topology optimization of compliant circular path mechanisms based on an aggregated linear system and singular value decomposition
TL;DR: In this paper, the authors proposed a topology optimization method for the design of compliant circular path mechanisms with a set of output displacement vectors with a constant norm, which is induced by a given set of input forces.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
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.
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.
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.