2014
DOI: 10.1007/978-3-319-07058-2_45
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Compliance Based Characterization of Spherical Flexure Hinges for Spatial Compliant Mechanisms

Abstract: In this paper, the closed-form compliance equations for spherical flexures are derived. Each element of the spatial compliance matrix is analytically computed as a function of both hinge dimensions and employed material. The theoretical model is then validated by relating analytical data with the results obtained through Finite Element Analysis. Finally, for a generic loading condition, spherical flexures are compared to circularly curved-beam hinges in terms of secondary compliance factors and maximum stress.

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Cited by 3 publications
(3 citation statements)
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“…The straightaxis flexure hinges quasi-static behavior has mainly been characterized by means of analytical and numerical methods, including the analytical compliance/stiffness matrix approach and the finite element technique - [4], the extended compliance matrix procedure - [5] and the discrete-beam transfer matrix method - [6]. Expanding the deformation capabilities of straight-axis, 1D hinge configurations are the two-dimensional (2D) flexible hinges, which either are made of a single segment or combine segments with planar-curve longitudinal axes that may include straight-axis segments, as studied in [4] and [17][18][19][20][21][22][23][24], for instance. Further enhancing the motion spectrum necessary in mechanisms for precision positioning and manipulation are the serial flexible hinges of 3D configuration, such as those presented in [25,26] -Fig.…”
Section: Introductionmentioning
confidence: 99%
“…The straightaxis flexure hinges quasi-static behavior has mainly been characterized by means of analytical and numerical methods, including the analytical compliance/stiffness matrix approach and the finite element technique - [4], the extended compliance matrix procedure - [5] and the discrete-beam transfer matrix method - [6]. Expanding the deformation capabilities of straight-axis, 1D hinge configurations are the two-dimensional (2D) flexible hinges, which either are made of a single segment or combine segments with planar-curve longitudinal axes that may include straight-axis segments, as studied in [4] and [17][18][19][20][21][22][23][24], for instance. Further enhancing the motion spectrum necessary in mechanisms for precision positioning and manipulation are the serial flexible hinges of 3D configuration, such as those presented in [25,26] -Fig.…”
Section: Introductionmentioning
confidence: 99%
“…Efforts have been made in both the characterization as in the design and optimization of spatial compliant mechanisms for the sake of advancing their applicability as full devices Supported by NWO (P16-05: Shell Skeletons) or as components. In flexures, which are flexible elements widely used for precision mechanisms, there are plenty of examples of spatial mechanisms [6,10] and established design principles exist [4,12].…”
Section: Introductionmentioning
confidence: 99%
“…They are used in industrial or space applications, where high reliability, accuracy, and demanding requirements to contamination apply. Further advantages are, e.g., no need for assembly due to single-piece manufacturing, no friction losses, no need for lubrication due to lack of joints, and no wear by erosion due to lack of physical contact between kinematic pairs [2,3]. In space applications, flexible hinges are most commonly used in instrument mechanisms, e.g., for precise rotation of mirrors in a limited angular range, but also for the deployment of appendages and deployable booms, as so called collapsible flexible hinges.…”
Section: Introductionmentioning
confidence: 99%