In-plane elastic response of two-segment circular-axis symmetric notch flexure hinges: The right circular design

“…For the compliance modeling of multi-axis flexure hinges such as the Cartwheel flexure hinge, some authors have suggested the pseudo-rigid-body model [105,106], compliance matrix method [156] and Ryu's method [157]. Other contributions to the compliance formulating of flexure hinges, among many, were those investigated by Lobontiu et al [158][159][160][161], wherein a general model of compliance was established for segmentally symmetric and curve-axis flexure hinges. Recently, the dynamic-PRBM and a dynamic stiffness matrix were separately developed by Su et al [108] and Ling et al [162] for the purpose of dynamic analysis of large-deflection flexure hinges and notch flexure hinges with varying cross section.…”

Section: Empirical Equationsmentioning

confidence: 99%

Kinetostatic and Dynamic Modeling of Flexure-Based Compliant Mechanisms: A Survey

Ling

Howell

Cao

et al. 2020

Applied Mechanics Reviews

162

View full text Add to dashboard Cite

Flexure-based compliant mechanisms are becoming increasingly promising in precision engineering, robotics, and other applications due to the excellent advantages of no friction, no backlash, no wear, and minimal requirement of assembly. Because compliant mechanisms have inherent coupling of kinematic-mechanical behaviors with large deflections and/or complex serial-parallel configurations, the kinetostatic and dynamic analyses are challenging in comparison to their rigid-body counterparts. To address these challenges, a variety of techniques have been reported in a growing stream of publications. 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. Future challenges are discussed and new opportunities for extended study are highlighted as well. The presented review provides a guide on how to select suitable modeling approaches for those engaged in the field of compliant mechanisms.

show abstract

“…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

View full text Add to dashboard Cite

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%.

show abstract

In-plane elastic response of two-segment circular-axis symmetric notch flexure hinges: The right circular design

Cited by 26 publications

References 20 publications

A unified element stiffness matrix model for variable cross-section flexure hinges in compliant mechanisms for micro/nano positioning

A unified element stiffness matrix model for variable cross-section flexure hinges in compliant mechanisms for micro/nano positioning

Kinetostatic and Dynamic Modeling of Flexure-Based Compliant Mechanisms: A Survey

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

Contact Info

Product

Resources

About