Abstract
As a kind of important flexible joint, two-axis flexure hinges can realize in-plane and out-of-plane motions and can be used for constructing flexure-based spatial compliant mechanisms. The paper introduces a common two-axis elliptical-arc-filleted flexure hinge that is generated by two different elliptical-arc-filleted cutout profiles and that provides some new hinge types. The analytical compliance equations of both half-segments of the two-axis elliptical-arc flexure hinges are firstly formulated, and then, based on a generic compliance modeling method of a flexure serial chain, the closed-form compliance and precision matrices of two-axis elliptical-arc-filleted flexure hinges are established and validated by the finite element method. Some numerical simulations are conducted to compare the effect of different design geometric parameters on the performance of the two-axis flexure hinges.
Highlights
Flexure hinges can utilize their slender portions to produce relative motion between two adjacent rigid links in flexure-based compliant mechanism
The Finite element analysis (FEA) model of a flexure hinge includes the rigid links of both ends of the hinge besides the flexure hinge [18,19,20,21], namely the theoretical fixed end of the hinge will change and induce deformation in FEA model under the action of external load, and the FEA results of the hinge are that the rotations or deformations caused by the left-end section of the hinge were subtracted from the corresponding rotations or deformations caused by the right-end section of the hinge [25], there are different from the analytical model on the constraint conditions—see Figure 5 and the compliance calculations
To obtain the effect by joining the serially-connected flexure segments 2 and 3 on the compliance elements of two-axis flexure hinge with elliptical-arc notches, the analytical compliance equations is utilized, and the two-axis elliptical-arc-filleted flexure hinge is selected as an analysis example to compare with two-axis elliptical-arc flexure hinge by means of the following compliance ratio: rij =
Summary
Flexure hinges can utilize their slender portions to produce relative motion between two adjacent rigid links in flexure-based compliant mechanism. 2. Compliance derives analytically theEquations complex compliance and precision equations of two-axis elliptical-arc-filleted two-axis elliptical-arc-filleted flexure hinge with a transverse symmetry plane is flexure hinge,Aasgeneric well as studies the sensitivity to geometric parameters. The segments 1 and 4 are the left half-segment and right half-segment two-axis flexure hinges with elliptical-arc notches, respectively, the segments 2 and 3 are both identical constant rectangular cross-section beams. To obtain the compliance matrix of two-axis elliptical-arc-filleted flexure hinge, the closed-form compliance equation of each element of the compliance matrix needs to be derived analytically with the consideration of the shear effects
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