Journal ArticleDOI
A new level set method for topology optimization of distributed compliant mechanisms
Benliang Zhu,Xianmin Zhang +1 more
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TLDR
An accelerated level set evolution algorithm is developed by adding an extra energy function, which can force the level set function to close to a signed distance function during the evolution.Abstract:
SUMMARY
A new level set method for topology optimization of distributed compliant mechanism is presented in this study. By taking two types of mean compliance into consideration, several new objective functions are developed and built in the conventional level set method to avoid generating the de facto hinges in the created mechanisms. Aimed at eliminating the costly reinitialization procedure during the evolution of the level set function, an accelerated level set evolution algorithm is developed by adding an extra energy function, which can force the level set function to close to a signed distance function during the evolution. Two widely studied numerical examples in topology optimization of compliant mechanisms are studied to demonstrate the effectiveness of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd.read more
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Buckling-induced smart applications: recent advances and trends
Nan Hu,Rigoberto Burgueño +1 more
TL;DR: In this article, the authors highlight the recent advances in buckling-induced smart applications and explain why buckling responses have certain advantages and are especially suitable for these particular applications, and identify potential research avenues and emerging trends for using buckling and other elastic instabilities for future innovations.
Journal ArticleDOI
Explicit feature control in structural topology optimization via level set method
TL;DR: The basic idea is to resort to the level set solution framework and impose constraints on the extreme values of the signed distance level set function used for describing the topology of the structure.
Journal ArticleDOI
An explicit length scale control approach in SIMP-based topology optimization
TL;DR: In this paper, a new approach for controlling both maximum and minimum length scales of structural members in the Solid Isotropic Material with Penalization (SIMP)-based topology optimization framework is presented.
Journal ArticleDOI
Stress-constrained topology optimization for compliant mechanism design
TL;DR: In this paper, a stress-constrained topology optimization approach for compliant mechanism design is presented, where the maximum stress is approximated using a normalized version of the commonly-used p-norm of the effective von Mises stresses.
Journal ArticleDOI
Stress‐based multi‐material topology optimization of compliant mechanisms
TL;DR: In this paper, a level-set-based method is presented to deal with the multi-material topology optimization of compliant mechanisms with stress constraints, and the penalty of stresses is also considered in the objective function to control the local stress level in different materials.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
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.
Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Book
Topology Optimization: Theory, Methods, and Applications
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors proposed a topology optimization by distribution of isotropic material for truss structures with anisotropic materials, based on the topology design of truss structure.
Journal ArticleDOI
A level set approach for computing solutions to incompressible two-phase flow
TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.