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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Journal ArticleDOI
Optimal Design of Piezoelectric Modal Transducers
TL;DR: In this paper, the concept has been extended to plates and shells by means of optimization techniques, and it has been shown how it can be extended to plate and shell structures by using the shape of the piezoelectric layers.
Journal ArticleDOI
Integrating topology optimization in precision motion system design for optimal closed-loop control performance☆
Gijs van der Veen,Matthijs Langelaar,Stan van der Meulen,Dick Laro,W.H.T.M. Aangenent,Fred van Keulen +5 more
TL;DR: This article focuses on the closed-loop control performance of a motion system component, while simultaneously ensuring that mechanical requirements are met, and proposes a topology optimization framework that allows to determine the optimal material quantity and distribution within a design volume.
Global and clustered approaches for stress constrained topology optimization and deactivation of design variables
TL;DR: A global (one constraint) version of the clustered approach previously developed for stress constraints, and also applied to fatigue constraints, in topology optimization is presented, giving designs without large stress concentrations or geometric shapes that would cause stress singularities.
Journal ArticleDOI
Size and configuration syntheses of rigid-link mechanisms with multiple rotary actuators using the constraint force design method
Jae Chung Heo,Gil Ho Yoon +1 more
TL;DR: In this paper, a new approach for path-generating or function-genating rigid-body mechanisms in the framework of a new hybrid GA algorithm is presented, where the existence of links, the x-y locations of joints modeled by unit masses (particles), and the kind of selection between rigid and string links, using binary, integer, and binary design variables, respectively.
Journal ArticleDOI
An energy-based method for interface connectivity of incompatible microstructures through parametric modeling
TL;DR: A method for ensuring smooth interface connectivity for orthotropic microstructures through supershape-based parametric modeling through post-processing approach, which is versatile and applicable to a wide variety of results since it requires the optimization problem to be formulated only at the interface region.
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.
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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.