Hybrid flexure hinges

Lin, Rongzhou; Zhang, Xianmin; Long, Xuejun; Fatikow, Sergej

doi:10.1063/1.4818522

Cited by 54 publications

(29 citation statements)

References 20 publications

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“…(Linß et al, 2011a;Lin et al, 2013). However, in this paper only transversal and axial symmetric notch flexure hinges are investigated at first because they allow a holistic and intuitive design with regard to the mechanism synthesis.…”

Section: Design Of the Flexure Hingesmentioning

confidence: 99%

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 Of the Flexure Hingesmentioning

confidence: 99%

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

2017

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“…Since the deviation of the center of rotation from the midpoint is relatively large for the transversely asymmetric flexure hinge, 20 the assumed kinematical center is considered as the center of rotation of QVFHs.…”

Section: B Accuracy Of Rotationmentioning

confidence: 99%

“…Compared with the right-circular flexure hinges, the two hybrid flexure hinges were more bendingcompliant but less precise in rotation. Lin et al 20 presented a hybrid hinge composed of half a hyperbolic and half a corner-filleted flexure hinge. He considered the center of rotation deviated from midpoint, and closed-form equations were formulated by Castigliano's second theorem.…”

Section: Introductionmentioning

confidence: 99%

Design and analysis of a high-accuracy flexure hinge

Liu

Zhang

Fatikow

2016

Review of Scientific Instruments

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This paper designs and analyzes a new kind of flexure hinge obtained by using a topology optimization approach, namely, a quasi-V-shaped flexure hinge (QVFH). Flexure hinges are formed by three segments: the left and right segments with convex shapes and the middle segment with straight line. According to the results of topology optimization, the curve equations of profiles of the flexure hinges are developed by numerical fitting. The in-plane dimensionless compliance equations of the flexure hinges are derived based on Castigliano's second theorem. The accuracy of rotation, which is denoted by the compliance of the center of rotation that deviates from the midpoint, is derived. The equations for evaluating the maximum stresses are also provided. These dimensionless equations are verified by finite element analysis and experimentation. The analytical results are within 8% uncertainty compared to the finite element analysis results and within 9% uncertainty compared to the experimental measurement data. Compared with the filleted V-shaped flexure hinge, the QVFH has a higher accuracy of rotation and better ability of preserving the center of rotation position but smaller compliance. Published by AIP Publishing. [http://dx

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“…where K a and K b are the axial and bending stress concentration factors found in [24,25], respectively. For the maximum stress in Fig.…”

Section: Resultsmentioning

confidence: 99%

Nonlinear modeling of compliant mechanisms incorporating circular flexure hinges with finite beam elements

Friedrich

Lammering

Heurich

2015

Precision Engineering

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Hybrid flexure hinges

Cited by 54 publications

References 20 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

Design and analysis of a high-accuracy flexure hinge

Nonlinear modeling of compliant mechanisms incorporating circular flexure hinges with finite beam elements

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