Screw Theory Based Methodology for the Deterministic Type Synthesis of Flexure Mechanisms

Yu, Junsheng; Li, Shouzhong; Su, Hai‐Jun; Culpepper, Martin L.

doi:10.1115/1.4004123

Cited by 95 publications

(35 citation statements)

References 38 publications

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“…The compliance shown in Eq. (4) can also be obtained through the screw theory based approach (Yu et al, 2011). It indicates that the proposed analysis of compliance modeling has close relations to the syntheses of compliant mechanism based on screw theory.…”

Section: Flexure Serial Structurementioning

confidence: 99%

Output decoupling property of planar flexure-based compliant mechanisms with symmetric configuration

Jiang

et al. 2016

Mech. Sci.

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Abstract. This paper presents the output decoupling property of planar flexure-based compliant mechanisms with symmetric configuration. Compliance/stiffness modeling methods for flexure serial structures and flexure parallel structures are first derived according to the matrix method. Analytical model of mechanisms with symmetric configuration is then developed to analyze the output decoupling property. The proposed analytical model shows that mechanisms are output decoupled when they are symmetry about two perpendicular axes or when they are composed of either three or an even number of identical fundamental forms distributed evenly around the center. Finally, output compliances of RRR and 4-RRR compliant micro-motion stages are derived from the analytical model and finite element analysis (FEA). The comparisons indicate that the results obtained from the proposed analytical model are in good agreement with those derived from FEA, which validates the proposed analytical model.

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Section: Flexure Serial Structurementioning

confidence: 99%

Output decoupling property of planar flexure-based compliant mechanisms with symmetric configuration

Jiang

et al. 2016

Mech. Sci.

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“…1), which can be easily designed using existing methods such as FACT or other screw-theorybased methods (Hopkins and Culpepper, 2010a, b;Su and Hafez, 2010;Su et al, 2009;Yu et al, 2011). To guarantee an in-plane 3-DOC mechanism, the following conditions in plane should be met:…”

Section: Design Considerationsmentioning

confidence: 99%

Design and analysis of symmetric and compact 2R1T (in-plane 3-DOC) flexure parallel mechanisms

Hao

2017

Mech. Sci.

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Abstract. Symmetry is very necessary in flexure mechanisms, which can eliminate parasitic motions, avoid buckling, and minimize thermal and manufacturing sensitivity. This paper proposes two symmetric and compact flexure designs, in-plane 3-DOC (degree of constraint) mechanisms, which are composed of 4 and 6 identical wire beams, respectively. Compared to traditional leaf-beam-based designs, the two present designs have lower stiffness in the primary motion directions, and have smaller stiffness reduction in the parasitic directions. Analytical modelling is conducted to derive the symbolic compliance equations, enabling quick analysis and comparisons of compliances of the two mechanisms. A prototype has been tested statically to compare with analytical models.

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“…To enable 3-degrees of freedom (DOFs) rotation, two sets of LITF pivots are combined in parallel to obtain an RCC mechanism with four round beam flexures uniformly spaced around two circles on the end-effector and base at intervals of π/2, as shown in Figure 2a. Based on the type synthesis approach-freedom and constraint topology (FACT)-of the parallel flexure system in [18,19], there are four constraint lines (blue) that intersect at a common point, as shown in Figure 3. The combination of the four constraint lines permits three independent rotations.…”

Section: Configuration Of the Remote Center Compliance (Rcc) Mechanismmentioning

confidence: 99%

Modeling and Analysis of a Compliance Model and Rotational Precision for a Class of Remote Center Compliance Mechanisms

Lai

Zhu

2016

Applied Sciences

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Abstract:The remote center compliance (RCC) mechanism is of great use for practical designs, especially if a pure rotation about a virtual point is required. The analysis of compliance properties and rotational precision for RCC mechanisms are very important for mechanical design in applications where precision is required. This paper formulates an analytical method for the compliance and rotational precision calculations of a class of RCC mechanisms, combined in parallel with two round beam-based isosceles-trapezoidal flexural pivots. The analytical model of the mechanism is established based on the stiffness matrix method to directly obtain the compliance factors that completely define the elastic response of the mechanism. The rotational precision of the mechanism-That is, the position of rotation center-Is then derived using screw theory and a compliance matrix. The validity of this model is demonstrated using finite element analysis simulation and experimental tests. The results of both simulation and experiment verify that the analytical model has high accuracy and promising practical applications. Moreover, the influences of the geometry parameters on the compliance factors and the center shifts are also graphically evaluated and discussed using the analytical model. The results in this paper provide an effective configuration and analytical method for the design and optimization of RCC mechanisms, and are of great practical significance.

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Screw Theory Based Methodology for the Deterministic Type Synthesis of Flexure Mechanisms

Cited by 95 publications

References 38 publications

Output decoupling property of planar flexure-based compliant mechanisms with symmetric configuration

Output decoupling property of planar flexure-based compliant mechanisms with symmetric configuration

Design and analysis of symmetric and compact 2R1T (in-plane 3-DOC) flexure parallel mechanisms

Modeling and Analysis of a Compliance Model and Rotational Precision for a Class of Remote Center Compliance Mechanisms

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