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
Design of quasi-static piezoelectric plate based transducers by using topology optimization
TL;DR: In this paper, a topology optimization method has been applied to design piezoelectric transducers considering quasi-static operation, by distributing piezelectric material over a metallic plate and by selecting the material polarization sign, in order to satisfy quasistatic design requirements.
Journal ArticleDOI
Reliability-Based Topology Optimization of Compliant Mechanisms with Geometrically Nonlinearity
TL;DR: In this article, a new reliability-based topology optimization method for compliant mechanisms with geometrical nonlinearity is presented, where the objective function is defined by minimum the compliance and maximum the geometric advantage to meet both the stiffness and the flexibility requirements.
Journal ArticleDOI
Efficient limitation of resonant peaks by topology optimization including modal truncation augmentation
TL;DR: In this article, the authors focus on limiting the extreme values in frequency response functions, which occur at the eigenfrequencies of the system, better known as resonant peaks.
Journal ArticleDOI
Optimization of Retractable Structures Utilizing Bistable Compliant Mechanism
TL;DR: In this paper, an optimization approach is presented for a retractable structure consisting of bistable compliant mechanism, where the structure is modeled using truss and beam elements, and snapthrough behavior is utilized to generate large deformation under small input displacement and recover the initial shape by application of a small reversal force.
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.