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
More filters
Journal ArticleDOI
Passive Vibration Isolation by Compliant Mechanism Using Topology Optimization
TL;DR: In this article, a compliant isolator is used to cancel undesired disturbances, resulting in attenuated output amplitude, while a compliant mechanism also functions as a transmission of force and controls the amount of displacement that is transmitted from it.
Proceedings ArticleDOI
Topology Optimization on the Cloud: A Confluence of Technologies
TL;DR: This paper proposes a cloud based topology optimization (CTO) framework that relies on limited-memory finite element analysis with a deflated linear solver that is designed to exploit multi-core and many-core architectures and Ajax, php and HTML5 technologies are exploited to achieve asynchronous and robust user experience.
Proceedings ArticleDOI
Robust Topology Optimization under Loading Uncertainty with Proportional Topology Optimization Method
TL;DR: In this article, a novel approach to solving the robust topology optimization problem under loading uncertainty was developed, according to the superposition principle of linear structure, computational method for the excepted value and standard deviation of the compliance by Monte Carlo sampling is adopted.
Journal ArticleDOI
Integrated design framework of 3D printed planar stainless tubular joint: Modelling, optimization, manufacturing, and experiment
TL;DR: An integrated design framework of the 3D printed planar stainless tubular joint is presented, and this framework is implemented by Solid Isotropic Material with Penalization Method (SIMP), which can be extended to the complex spatial joints, which is subjected to multi-planar loads in the future.
Journal ArticleDOI
Discrete thickness optimization via piecewise constraint penalization
TL;DR: An efficient gradient-based technique is proposed to obtain engineering solutions to the discrete thickness selection problem by solving a sequence of relaxed continuous problems with increasing penalization.
References
More filters
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.