A generalized model for conic flexure hinges

Chen, Guimin; Liu, Xiaoyuan; Gao, Hong-Wei; Jia, Jianyuan

doi:10.1063/1.3137074

Cited by 77 publications

(52 citation statements)

References 7 publications

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“…Paros and Weisbord, 1965;Tseytlin, 2002;Wu and Zhou, 2002;Lobontiu, 2003;Chen et al, 2008Chen et al, , 2011Meng et al, 2013). Design equations for calculating the contour-dependent maximal angular elastic deflection are not state of the art, because the few existing design equations consider solely the stress (e.g.…”

Section: Design Equations For the Flexure Hinges With Various Notch Gmentioning

confidence: 99%

“…Mostly, there are predefined basic geometry elements, which lead to three main notch flexure hinge types, each with a typical characteristic: The precise hinge with a semi-circular contour (e.g. Paros and Weisbord, 1965;Wu and Zhou, 2002), the largedeflective hinge with a corner-filleted contour (e.g. Lobontiu, 2003;Meng et al, 2013) or the elliptical hinge (e.g.…”

Section: Design Of the Flexure Hingesmentioning

confidence: 99%

“…In comparison to the optimal synthesis with a continuum model, a better guiding accuracy of a coupler point is possible with this method (Pavlović et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

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General design equations for the rotational stiffness, maximal angular deflection and rotational precision of various notch flexure hinges

2017

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Abstract. Notch flexure hinges are often used as revolute joints in high-precise compliant mechanisms, but their contour-dependent deformation and motion behaviour is currently difficult to predict. This paper presents general design equations for the calculation of the rotational stiffness, maximal angular elastic deflection and rotational precision of various notch flexure hinges in dependence of the geometric hinge parameters. The novel equations are obtained on the basis of a non-linear analytical model for a moment and a transverse force loaded beam with a variable contour height. Four flexure hinge contours are investigated, the semi-circular, the cornerfilleted, the elliptical, and the recently introduced bi-quadratic polynomial contour. Depending on the contour, the error of the calculated results is in the range of less than 2 % to less than 16 % for the suggested parameter range compared with the analytical solution. Finite elements method (FEM) and experimental results correlate well with the predictions based on the comparatively simple and concise design equations.

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Section: Design Equations For the Flexure Hinges With Various Notch Gmentioning

confidence: 99%

Section: Design Of the Flexure Hingesmentioning

confidence: 99%

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General design equations for the rotational stiffness, maximal angular deflection and rotational precision of various notch flexure hinges

2017

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“…4. Compared with various flexure hinges, the right circular flexure hinge is considered a good candidate because of its excellent rotation capacity and lack of rotation errors (Lobontiu, 2002;Chen et al, 2008Chen et al, , 2009. Hence, the right circle flexure spherical joint as shown in Fig.…”

Section: Design Of Flexure Hingesmentioning

confidence: 99%

A novel 5-DOF high-precision compliant parallel mechanism for large-aperture grating tiling

Shao

et al. 2017

Mech. Sci.

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Abstract. In combination with the advantages of parallel mechanisms and compliant mechanisms, a 5-DOF compliant parallel mechanism is designed to meet the requirements, such as large stroke, large load capacity, high precision and high stability, for a large-aperture grating tiling device. The structure and characteristics of the 5-DOF compliant parallel mechanism are presented. The kinematics of the mechanism are derived based on a pseudo-rigid-body model as well. To increase the tiling position retention stability of the mechanism, a closedloop control system with capacitive position sensors, which are employed to provide feedback signals, is realized. A position and orientation monitoring algorithm and a single neuron adaptive full closed-loop control algorithm are proposed. Performance testing is implemented to verify the accuracy and the tiling position retention stability of the grating tiling device. The experimental results indicate that the tiling accuracy reaches 0.2 µrad per step and 20 nm per step, and the tiling position retention stability can achieve 1.2 µrad per 30 min and 35 nm per 30 min in the rotational direction and the translational direction, respectively.

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“…Various types of flexure hinges with different shapes have been investigated in the past years, e.g. V-shaped flexure hinges (Tian et al, 2010), parabolic and hyperbolic flexure hinges (Lobontiu et al, 2002b;Chen et al, 2009), elliptical-arc-fillet flexure hinges (Chen et al, 2008), flexure hinges that considered the machining errors , and even the exponent-sine-shaped flexure hinges . But these flexure hinges defined by only few parameters that restrict the degree of freedom to choose optimal shapes of flexure hinges.…”

Section: Introductionmentioning

confidence: 99%

Multi-objective optimization of a type of ellipse-parabola shaped superelastic flexure hinge

Yang

Dong

2016

Mech. Sci.

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Abstract. Flexure hinges made of superelastic materials is a promising candidate to enhance the movability of compliant mechanisms. In this paper, we focus on the multi-objective optimization of a type of ellipse-parabola shaped superelastic flexure hinge. The objective is to determine a set of optimal geometric parameters that maximizes the motion range and the relative compliance of the flexure hinge and minimizes the relative rotation error during the deformation as well. Firstly, the paper presents a new type of ellipse-parabola shaped flexure hinge which is constructed by an ellipse arc and a parabola curve. Then, the static responses of superelastic flexure hinges are solved via non-prismatic beam elements derived by the co-rotational approach. Finite element analysis (FEA) and experiment tests are performed to verify the modeling method. Finally, a multi-objective optimization is performed and the Pareto frontier is found via the NSGA-II algorithm.

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A generalized model for conic flexure hinges

Cited by 77 publications

References 7 publications

General design equations for the rotational stiffness, maximal angular deflection and rotational precision of various notch flexure hinges

General design equations for the rotational stiffness, maximal angular deflection and rotational precision of various notch flexure hinges

A novel 5-DOF high-precision compliant parallel mechanism for large-aperture grating tiling

Multi-objective optimization of a type of ellipse-parabola shaped superelastic flexure hinge

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