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Design and analysis of a multi-notched flexure hinge for compliant mechanisms

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TLDR
In this article, a multi-notched flexure hinge with two right circular and two parabolic notches for positioning stages based on compliant mechanisms is presented, and the stiffness, rotational precision and stress levels of flexure hinges are investigated.
Abstract
This article presents a new multi-notched flexure hinge, which consists of two right circular and two parabolic notches, for positioning stages based on compliant mechanisms. First, the configuration of the presented multi-notched hinge is obtained using topology optimization, and the final shape is proposed based on post-processing. Second, the dimensionless empirical equations for the stiffness, rotational precision and stress levels of the flexure hinges are developed using finite element analysis (FEA). Third, based on the established equations, the influences of the geometric parameters on the performance of the flexure hinge are investigated. Finally, to further understand the characteristics of this type of flexure hinge, comparisons with flexure hinges of various shapes are performed in terms of stiffness, rotational precision and stress levels.

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Citations
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Journal ArticleDOI

Design of compliant mechanisms using continuum topology optimization: A review

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.
Journal ArticleDOI

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.
Journal ArticleDOI

Design of buckling-induced mechanical metamaterials for energy absorption using topology optimization

TL;DR: In this article, a buckling-induced mechanical metamaterials for energy absorption is presented, and two topology optimization models are proposed to maximize the dissipated energy with a constraint that the mechanical met amaterials should be self-recoverable.
Journal ArticleDOI

Design and Trajectory Tracking of a Nanometric Ultra-Fast Tool Servo

TL;DR: This paper reports on the development of a piezo-actuated nanometric ultra-fast tool servo (NU-FTS) for nanocutting using a novel kind of generalized flexure hinges with the notch profiles described by a rational Bezier curve through a novel finite beam modeling method.
Journal ArticleDOI

Topology optimization of stiffness constrained flexure-hinges for precision and range maximization

TL;DR: Novel hinge structures are investigated which increases range, stiffness and precision and characterises the trade-off between the parameters and two novel hinges are proposed based on the results.
References
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Book

Topology Optimization: Theory, Methods, and Applications

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

Optimal shape design as a material distribution problem

TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
Journal ArticleDOI

A level set method for structural topology optimization

TL;DR: A new approach to structural topology optimization that represents the structural boundary by a level set model that is embedded in a scalar function of a higher dimension that demonstrates outstanding flexibility of handling topological changes, fidelity of boundary representation and degree of automation.
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A simple evolutionary procedure for structural optimization

TL;DR: In this paper, a simple evolutionary procedure is proposed for shape and layout optimization of structures, where low stressed material is progressively eliminated from the structure during the evolution process, and various examples are presented to illustrate the optimum structural shapes and layouts achieved by this procedure.
Journal ArticleDOI

On the Design of Compliant Mechanisms Using Topology Optimization

TL;DR: In this paper, the authors present a method for optimal design of compliant mechanism topologies based on continuum-type topology optimization techniques and find the optimal mechanism topology within a given design domain and a given position and direction of input and output forces.
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