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
Topology optimization of nonlinear structures
Daeyoon Jung,Hae Chang Gea +1 more
TL;DR: In this paper, a general displacement functional as the objective function was proposed for topology optimization of both geometrically and materially nonlinear structure using the adjoint method, and the results of mean compliance design were compared under linear analysis, geometrical nonlinear analysis, material nonlinear analyses, and combined non-linear analysis.
Journal ArticleDOI
Numerical methods for the topology optimization of structures that exhibit snap-through
TL;DR: In this paper, a load-displacement constraint method is used to traverse non-linear equilibrium paths with limit points to design structures that exhibit snap-through behavior, and the analysis is embedded into the topology optimization problem.
Journal ArticleDOI
A Survey of Structural Optimization in Mechanical Product Development
TL;DR: The past literatures are categorized based on their major research focuses: geometry parameterizations, approximation methods, optimization algorithms, and the integration with nonstructural issues.
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Kinetostatic and Dynamic Modeling of Flexure-Based Compliant Mechanisms: A Survey
TL;DR: This paper surveys and compares the conceptual ideas, key advances, and applicable scopes, and open problems of the state-of-the-art kinetostatic and dynamic modeling methods for compliant mechanisms in terms of small and large deflections.
References
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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.