5R pseudo-rigid-body model for inflection beams in compliant mechanisms

Yu, Yueqing; Zhu, Shun-Kun

doi:10.1016/j.mechmachtheory.2017.06.016

Cited by 36 publications

(19 citation statements)

References 12 publications

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“…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]. Besides, the pseudo-rigid-body model with shear effects in short pivots for robotic joints [218], circular-shape flexure beams [219] and a general matrix for all kinds of pseudorigid-body models [220] were studied by Su and Venkiteswaran.…”

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%

See 1 more Smart Citation

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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Section: Kinetostatic Modeling Of Compliant Mechanisms With Large Defmentioning

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

“…To accurately predict the deflection of a cantilever beam with an inflection point, Yu et al [42][43] developed a PRB 5R, in which six rigid links are joint at five pin joints. Four of the pin joints are accompanied by torsion springs, and the rest one is a free hinge.…”

Section: Introductionmentioning

confidence: 99%

Optimization algorithm-based approach for modeling large deflection of cantilever beam subject to tip load

Gao

Liu

Wang

et al. 2022

Mechanism and Machine Theory

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“…In order to establish a mathematic model of a compliant mechanism composed of these components, an equivalent stiffness method called pseudo-rigid-body method had been proposed. For example, Yu and Zhu [6] proposed a 5R pseudo-rigid-body model for inflection beams in compliant mechanisms, and Zhu and Yu [7] proposed two types of pseudo-rigid-body models to simulate the large deflection of a flexible beam with an inflection point in different configurations. Based on finite elements analysis and on the principle of minimum potential energy, Jin et al [8] presented a numerical method for analyzing the pseudo-rigid-body model of compliant mechanisms consisting of the finite elements and springs.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of a 6-DOF spatial compliant mechanism based on Stewart propotype platform

Zhu

Zhan

2019

Acta Mech. Sin.

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To improve the global stiffness and conveniently build a model of a compliant mechanism with spatial multiple degrees of freedom (DOF), the topology optimization method, combined with the isomorphic mapping matrix, is proposed in this paper for structure synthesis of a 6-DOF spatial compliant mechanism. By using the differential approximation method, the Jacobian matrix of the Stewart prototype platform is calculated as the isomorphic mapping matrix, and its eigenvalues and eigenvectors are considered. Combining the isomorphic mapping matrix with the solid isotropic material with the penalization topology optimization method, the topological model of the 6-DOF spatial compliant mechanism is constructed, and a topological structure of the 6-DOF spatial compliant mechanism is derived which has the same differential kinematic characteristics as the Gough-Stewart prototype platform. Piezoelectric actuators are mounted inside the topological structure during the three-dimensional printing manufacturing process, and its driver directions are in accordance with the driver configuration directions of the Gough-Stewart prototype platform. The effectiveness of the proposed method for topological structure synthesis of the 6-DOF spatial compliant mechanism is demonstrated through several numerical examples and experimental studies.

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5R pseudo-rigid-body model for inflection beams in compliant mechanisms

Cited by 36 publications

References 12 publications

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

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

Optimization algorithm-based approach for modeling large deflection of cantilever beam subject to tip load

Topology optimization of a 6-DOF spatial compliant mechanism based on Stewart propotype platform

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