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
On material selection for topology optimized compliant mechanisms
TL;DR: In this article , a density-based, geometrically robust, stress constrained topology optimization based on a total Lagrangian FEM formulation is used for investigation of a compliant inverter and a compliant gripper example.
Journal ArticleDOI
Finite periodic topology optimization with oriented unit-cells
TL;DR: This study proposes a new approach for design of finite periodic structures by allowing variable orientation states of individual unit-cells, which enables to greatly expand the conventional periodic design space and take more advantage of structural periodicity.
Journal ArticleDOI
A simple and versatile topology optimization formulation for flexure synthesis
TL;DR: In this article , the authors propose a novel topology optimization formulation for the synthesis of short-stroke flexures uniquely based on strain energy measures under prescribed displacement scenarios, which is similar to classic compliance minimization and inherits similar implementation simplicity, computational efficiency, and convergence properties.
Proceedings ArticleDOI
Displacement Amplification Using a Compliant Mechanism for Vibration Energy Harvesting
TL;DR: In this paper, a symmetric five-bar compliant mechanism for the displacement amplification of mechanical vibration was proposed, which is composed of both rigid links and flexure hinges, which enable deflection.
Wave Manipulation by Topology Optimization
TL;DR: Topology optimization can be used to design structures for manipulation of the electromagnetic and acoustic waves by optimizing the spatial placement and distribution of the media, which the waves encounter.
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.