Planar Compliances of Thin Circular-Axis Notch Flexure Hinges with Midpoint Radial Symmetry

Lobontiu, Nicolae; Cullin, Matt; Ali, Muhammad; Hoffman, Jeffrey A.

doi:10.1080/15397734.2012.722887

Cited by 13 publications

(4 citation statements)

References 20 publications

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“…The in-plane load–displacement relationship of a leaf flexure (Clf) and a unit semi-circular flexure (Ccu) fixed on one side with a constant thickness and center angle

is derived in [ 60 ] using Castiglano’s displacement theorem as given in Table 1 . The variables b , l , t , R , and E represent the width, length, thickness, radius, and Young’s modulus, respectively.…”

Section: Analytical Modelingmentioning

confidence: 99%

Development of a Large-Range XY-Compliant Micropositioning Stage with Laser-Based Sensing and Active Disturbance Rejection Control

Kassa,

Shirinzadeh,

Tran

et al. 2024

Sensors

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This paper presents a novel design and control strategies for a parallel two degrees-of-freedom (DOF) flexure-based micropositioning stage for large-range manipulation applications. The motion-guiding beam utilizes a compound hybrid compliant prismatic joint (CHCPJ) composed of corrugated and leaf flexures, ensuring increased compliance in primary directions and optimal stress distribution with minimal longitudinal length. Additionally, a four-beam parallelogram compliant prismatic joint (4BPCPJ) is used to improve the motion decoupling performance by increasing the off-axis to primary stiffness ratio. The mechanism’s output compliance and dynamic characteristics are analyzed using the compliance matrix method and Lagrange approach, respectively. The accuracy of the analysis is verified through finite element analysis (FEA) simulation. In order to examine the mechanism performance, a laser interferometer-based experimental setup is established. In addition, a linear active disturbance rejection control (LADRC) is developed to enhance the motion quality. Experimental results illustrate that the mechanism has the capability to provide a range of 2.5 mm and a resolution of 0.4 μm in both the X and Y axes. Furthermore, the developed stage has improved trajectory tracking and disturbance rejection capabilities.

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“…The in-plane load–displacement relationship of a leaf flexure (Clf) and a unit semi-circular flexure (Ccu) fixed on one side with a constant thickness and center angle

Section: Analytical Modelingmentioning

confidence: 99%

Development of a Large-Range XY-Compliant Micropositioning Stage with Laser-Based Sensing and Active Disturbance Rejection Control

Kassa,

Shirinzadeh,

Tran

et al. 2024

Sensors

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show abstract

“…Besides transversely asymmetric hinges, a few of longitudinally asymmetric flexure hinges were also developed, such as single notched hinges 47–49 and circular-axis hinges. 50–53 Moreover, some special mathematical functions like the quadratic rational Bézier curves 54 and freeform-shaped curves 55 have also been used to construct notched flexure hinges. Here it is not discussed due to space constraints.…”

Section: Overview Of Flexure Hingesmentioning

confidence: 99%

The performance comparison of typical notched flexure hinges

Wei

Wang

Zhou

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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Flexure hinges, which serve as the crucial joints in a large number of compliant mechanisms, have been widely applied in a variety of significant fields where there is high demand for the micro/nano motions with high resolution and high precision. Currently, an increasing number of notched flexure hinges with different structures and performances have been rapidly developed, but the existing performance comparisons on different notched flexure hinges were only conducted on seldom typical structures and are far from the comprehensiveness and fairness due to the different comparative conditions and discrepant evaluating indexes. Therefore, the finite beam-based matrix modeling method and nondimension precision factors will be employed in comprehensive comparing and ranking of 13 types of frequently-used notched flexure hinges in terms of their main compliances, motion accuracies, and stress concentrations, further providing useful practical guidelines to develop the compliant mechanisms with excellent overall performances.

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“…In the literature, various types of flexible hinges with different notches have been developed [35,36,37,38,39], including the commonly used circular notch type, hyperbolic notch type, elliptical notch type, and right angle notch type, as shown in Figure 2. In order to obtain the stiffness characteristics, the force-displacement relationship of four common flexure hinges was analyzed by ANSYS.…”

Section: Mechanical Design and Working Principle Of Compliant Posimentioning

confidence: 99%

Design, Modeling, and Testing of a Novel XY Piezo-Actuated Compliant Micro-Positioning Stage

et al. 2019

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A novel decoupled XY compliant micro-positioning stage, based on a bridge-type amplification mechanism and parallelogram mechanisms, is designed in this paper. Analytical models of the bridge-type amplification mechanism and parallelogram mechanisms are developed by Castigliano’s second theorem and a Beam constrained model. The amplification ratio, input stiffness, and output stiffness of the stage are further derived, based on the proposed model. In order to verify the theoretical analysis, the finite element method (FEM) is used for simulation and modal analysis, and the simulation results indicate that the errors of the amplification ratio, input stiffness, and output stiffness of the stage between the proposed model and the FEM results are 2.34%, 3.87%, and 2.66%, respectively. Modal analysis results show that the fundamental natural frequency is 44 Hz, and the maximum error between the theoretical model and the FEM is less than 4%, which further validates the proposed modeling method. Finally, the prototype is fabricated to test the amplification ratio, cross-coupling error, and workspace. The experimental results demonstrate that the stage has a relatively large workspace, of 346.1 μm × 357.2 μm, with corresponding amplification ratios of 5.39 in the X-axis and 5.51 in the Y-axis, while the cross-coupling error is less than 1.5%.

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Planar Compliances of Thin Circular-Axis Notch Flexure Hinges with Midpoint Radial Symmetry

Cited by 13 publications

References 20 publications

Development of a Large-Range XY-Compliant Micropositioning Stage with Laser-Based Sensing and Active Disturbance Rejection Control

Development of a Large-Range XY-Compliant Micropositioning Stage with Laser-Based Sensing and Active Disturbance Rejection Control

The performance comparison of typical notched flexure hinges

Design, Modeling, and Testing of a Novel XY Piezo-Actuated Compliant Micro-Positioning Stage

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