Stiffness calculation and optimal design of elliptical flexure hinges

Jin-jiang, 付锦江 Fu; Chang-xiang, 颜昌翔 Yan; Wei, 刘伟 Liu; Ting, 袁婷 Yuan

doi:10.3788/ope.20162407.1703

Cited by 3 publications

(3 citation statements)

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“…According to the pure bending theory in material mechanics, the maximum stress in the flexible hinge is expressed as follows.

where

is the stress concentration factor,

is the external torque applied to the hinge at the maximum deflection angle, and w is the width [ 24 ]. The calculation formula is as follows.…”

Section: Optimization Of Structure and Controlmentioning

confidence: 99%

“…In the analysis of the kinematic accuracy of the flexible hinge, the displacement of the geometric center of the flexible hinge, that is, the displacement of the deflection center of the flexible hinge, is generally used as a quantitative measure of the kinematic accuracy of the flexible hinge [ 24 ]. In this FSM, the repeated positioning accuracy is

rad.…”

Section: Optimization Of Structure and Controlmentioning

confidence: 99%

“…where K t is the stress concentration factor, M max is the external torque applied to the hinge at the maximum deflection angle, and w is the width [24]. The calculation formula is as follows.…”

Section: Maximum Stress Constraintmentioning

confidence: 99%

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This study concerns the problem of integrated optimization of structure and control based on a fast steering mirror, aiming to achieve simultaneous optimization of the mechanical structure and control system. The traditional research and development path of the fast steering mirror involves a lengthy process from the initial design to the final physical manufacture. In the prior process, it was necessary to produce physical prototypes for repeated debugging and iterative optimization to achieve design requirements, but this approach consumes a significant amount of time and cost. To expedite this process and reduce unnecessary experimental costs, this study proposes an integrated optimization of structure and control (IOSC) method. With the use of IOSC, it is possible to achieve simultaneous optimization of structure and control. Specifically, the use of non-dominated sorting genetic algorithm II (NSGA-II) obtains globally optimal controller parameters and mechanical structure parameters under certain performance indices. This achieves an effective balance between the resonance frequency generated by the system and the working bandwidth, providing a high-precision reference for the research and development of fast steering mirrors.

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“…According to the pure bending theory in material mechanics, the maximum stress in the flexible hinge is expressed as follows.

where

is the stress concentration factor,

is the external torque applied to the hinge at the maximum deflection angle, and w is the width [ 24 ]. The calculation formula is as follows.…”

Section: Optimization Of Structure and Controlmentioning

confidence: 99%

rad.…”

Section: Optimization Of Structure and Controlmentioning

confidence: 99%