A pseudo-rigid-body 2R model of flexural beam in compliant mechanisms

Yu, Yueqing; Feng, Zhonglei; Xu, Qiping

doi:10.1016/j.mechmachtheory.2012.04.005

Cited by 78 publications

(31 citation statements)

References 12 publications

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“…The models previously defined in literature have been for one specific end being fixed, with loads applied at the other end (see Refs. [17,19], and [20]). This renders those models difficult to use for general design problems, especially for automated design or topology optimization, which is the reasoning behind the symmetry of the model defined in this paper.…”

Section: Discussionmentioning

confidence: 98%

“…There has been significant work in this area over the past two decades, although much of it was focused on individual applications rather than toward a generic approach. PRB models have been derived for various types of compliant elements, such as fixed-guided beams [14,15], curved segments [16,17], cross-strip pivots [18], and straight beams under bending [19,20]. Recent work also focused on PRB models for soft joints with extension effects [21,22].…”

Section: Introductionmentioning

confidence: 99%

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A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section

Venkiteswaran

2018

Journal of Mechanical Design

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Rigid-body discretization of continuum elements was developed as a method for simplifying the kinematics of otherwise complex systems. Recent work on pseudo-rigid-body (PRB) models for compliant mechanisms has opened up the possibility of using similar concepts for synthesis and design, while incorporating various types of flexible elements within the same framework. In this paper, an idea for combining initially curved and straight beams within planar compliant mechanisms is developed to create a set of equations that can be used to analyze various designs and topologies. A PRB model with three revolute joints is derived to approximate the behavior of initially curved compliant beams, while treating straight beams as a special case (zero curvature). The optimized model parameter values are tabled for a range of arc angles. The general kinematic and static equations for a single-loop mechanism are shown, with an example to illustrate accuracy for shape and displacement . Finally, this framework is used for the design of a compliant constant force mechanism to illustrate its application, and comparisons with finite element analysis (FEA) are provided for validation.

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Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section

Venkiteswaran

2018

Journal of Mechanical Design

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“…However, the 3R model becomes more complicated owing to the introduction of three pivots. Yu et al [102] reduced the joints and proposed a 2R pseudo-rigid-body model. In addition to the 2R and 3R models, a RPR model considering tensile effects and a 5R model for offsetting inflection points were also developed [103,104,217].…”

Section: Kinetostatic Modeling Of Compliant Mechanisms With Large Defmentioning

confidence: 99%

“…On the other hand, since the prediction accuracy of the pseudorigid-body model is limited in estimating larger end slope of flexible beams, efforts have been focused on improving the performance of the pseudo-rigid-body model by including more parameters, such as the 2R (R denotes a revolute pair), 3R, 5R, and RPR (P denotes a prismatic pair) pseudo-rigid-body models [101][102][103][104]. Moreover, some multi-axis flexure hinges with complex configurations and large deflection, such as the Cartwheel flexure hinge, were analyzed based on the pseudo-rigid-body model [105][106][107].…”

Section: Introductionmentioning

confidence: 99%

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

Ling

Howell

Cao

et al. 2020

Applied Mechanics Reviews

163

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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.

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“…Based on the concept of PRB, Midha et al (2015) presented a viable method of analyzing a fixed-guided compliant beam with an inflection point for various boundary conditions. To further approximate tip deflection of cantilever beams subject to combined end forces and moments, the PRB 2R (revolute) (Yu et al, 2012) and 3R (Su, 2009) have been explored to improve the analysis accuracy. However these PRB models can only describe bending deformation, without capturing the axial deformation of the beams.…”

Section: Introductionmentioning

confidence: 99%

A modified pseudo-rigid-body modeling approach for compliant mechanisms with fixed-guided beam flexures

Liu

Yan

2017

Mech. Sci.

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Abstract. In the present paper, we investigate a modified pseudo-rigid-body (MPRB) modeling approach for compliant mechanisms with fixed-guided beam flexures by considering the nonlinear effects of center-shifting and load-stiffening. In particular, a fixed-guided compliant beam is modeled as a pair of fixed-free compliant beams jointed at the inflection point, where each fixed-free beam flexure is further modeled by a rigid link connected with an extension spring by a torsion spring, based on the beam constraint model (BCM). Meanwhile, the characteristic parameters of the proposed MPRB model are no longer constant values, but affected by the applied general tip load, especially the axial force. The developed MPRB modeling method is then applied to the analysis of three common compliant mechanisms (i.e. compound parallelogram mechanisms, bistable mechanisms and 1-DOF translational mechanisms), which is further verified by the finite element analysis (FEA) results. The proposed MPRB model provides a more accurate method to predict the performance characteristics such as deformation capability, stiffness variation, as well as error motions of complaint mechanisms with fixed-guided beam flexures, and offers a new look into the design and optimization of beam-based compliant mechanisms.

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A pseudo-rigid-body 2R model of flexural beam in compliant mechanisms

Cited by 78 publications

References 12 publications

A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section

A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section

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

A modified pseudo-rigid-body modeling approach for compliant mechanisms with fixed-guided beam flexures

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