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Journal ArticleDOI

Topology optimization of hinge-free compliant mechanisms with multiple outputs using level set method

01 May 2013-Structural and Multidisciplinary Optimization (Springer-Verlag)-Vol. 47, Iss: 5, pp 659-672
TL;DR: In this paper, a method for topology optimization of hinge-free compliant mechanisms with multiple outputs using level set method is presented, where two types of mean compliances are introduced and built in the proposed multi-objective function.
Abstract: A method for topology optimization of hinge-free compliant mechanisms with multiple outputs using level set method is presented in this paper. The focus of this paper is on how to prevent generating the flexible hinges during the process of topology optimization of compliant mechanisms. In the proposed method, two types of mean compliances are introduced and built in the proposed multi-objective function for topology optimization of hinge-free compliant mechanisms with multiple outputs, therefore, the spring model widely used for topology optimization of compliant mechanisms is no longer needed. Some numerical examples are presented to illustrate the validity of the proposed method.
Citations
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Journal ArticleDOI
TL;DR: A survey of the state-of-the-art design advances in this research area over the past 20 years is presented and can be helpful to those engaged in the topology optimization of compliant mechanisms who desire to be apprised of the field’s recent state and research tendency.

198 citations

Journal ArticleDOI
TL;DR: In this paper, a bi-directional evolutionary structural optimization (BESO) method was developed for the topological design of compliant mechanisms, where the design problem was reformulated as maximizing the flexibility of the compliant mechanism subject to the mean compliance and volume constraints.

50 citations


Cites methods from "Topology optimization of hinge-free..."

  • ...[39] incorporated this approach to optimize hinge-free compliant mechanisms with multiple outputs....

    [...]

Journal ArticleDOI
TL;DR: In this article, a method for designing the single-axis flexure hinges in the topology level is presented, where two kinds of hinges, the translational hinge and the revolute hinge, are studied.
Abstract: The design of compliant hinges has been extensively studied in the size and shape level in the literature. This paper presents a method for designing the single-axis flexure hinges in the topology level. Two kinds of hinges, that is, the translational hinge and the revolute hinge, are studied. The basic optimization models are developed for topology optimization of the translational hinge and the revolute hinge, respectively. The objective for topology optimization of flexure hinges is to maximize the compliance in the desired direction meanwhile minimizing the compliances in the other directions. The constraints for accomplishing the translational and revolute requirements are developed. The popular Solid Isotropic Material with Penalization method is used to find the optimal flexure hinge topology within a given design domain. Numerical results are performed to illustrate the validity of the proposed method.

43 citations

Journal ArticleDOI
TL;DR: In this article, a compliant gripper is obtained from a 2-PRRP (P: prismatic; R: revolute) kinematic mechanism, and uses distributed-compliance joints for avoiding stress-concentration and enabling large range of motion.

39 citations

Journal ArticleDOI
TL;DR: In this article, a new multi-objective formulation for topology synthesis of hinge-free compliant mechanisms is presented based on the SIMP method and a weighted sum formed objective function is developed by taking into consideration the input and output mean compliances.
Abstract: A new multi-objective formulation for topology synthesis of hinge-free compliant mechanisms is presented based on the SIMP method. A weighted sum formed objective function is developed by taking into consideration the input and output mean compliances. The weighting factors are set based on the information that is obtained from the previous iteration and automatically updated with each optimization iteration step. Shape sensitivity analysis is addressed. Some numerical examples are presented to illustrate the validity of the proposed method.

35 citations

References
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Journal ArticleDOI
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.

13,020 citations

Journal ArticleDOI
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.
Abstract: Optimal shape design of structural elements based on boundary variations results in final designs that are topologically equivalent to the initial choice of design, and general, stable computational schemes for this approach often require some kind of remeshing of the finite element approximation of the analysis problem. This paper presents a methodology for optimal shape design where both these drawbacks can be avoided. The method 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~otropic material, with the requirement that the resulting structure can carry the given loads as well as satisfy other design requirements. The computation of effective material properties for the anisotropic material is carried out using the method of homogenization. Computational results are presented and compared with results obtained by boundary variations.

5,858 citations

Book
31 Oct 2002
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.
Abstract: This book is an introduction to level set methods and dynamic implicit surfaces. These are powerful techniques for analyzing and computing moving fronts in a variety of different settings. While it gives many examples of the utility of the methods to a diverse set of applications, it also gives complete numerical analysis and recipes, which will enable users to quickly apply the techniques to real problems. The book begins with a description of implicit surfaces and their basic properties, then devises the level set geometry and calculus toolbox, including the construction of signed distance functions. Part II adds dynamics to this static calculus. Topics include the level set equation itself, Hamilton-Jacobi equations, motion of a surface normal to itself, re-initialization to a signed distance function, extrapolation in the normal direction, the particle level set method and the motion of co-dimension two (and higher) objects. Part III is concerned with topics taken from the fields of Image Processing and Computer Vision. These include the restoration of images degraded by noise and blur, image segmentation with active contours (snakes), and reconstruction of surfaces from unorganized data points. Part IV is dedicated to Computational Physics. It begins with one phase compressible fluid dynamics, then two-phase compressible flow involving possibly different equations of state, detonation and deflagration waves, and solid/fluid structure interaction. Next it discusses incompressible fluid dynamics, including a computer graphics simulation of smoke, free surface flows, including a computer graphics simulation of water, and fully two-phase incompressible flow. Additional related topics include incompressible flames with applications to computer graphics and coupling a compressible and incompressible fluid. Finally, heat flow and Stefan problems are discussed. 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.

5,526 citations

Book
17 Sep 2011
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.
Abstract: 1 Topology optimization by distribution of isotropic material- 2 Extensions and applications- 3 Design with anisotropic materials- 4 Topology design of truss structures- 5 Appendices- 6 Bibliographical notes- References- Author Index

4,881 citations

Journal ArticleDOI
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.

4,148 citations