2D shape optimization of leaf-type crossed flexure pivot springs for minimum stress

Gómez, Jon Freire; Booker, Julian D; Mellor, P.H.

doi:10.1016/j.precisioneng.2015.03.003

Cited by 28 publications

(7 citation statements)

References 28 publications

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“…Design and optimization procedure for parabolic leaf springs were presented by Malikoutsakis et al., 2 and the developed springs were found to perform equivalently or significantly better than the respective serial springs. Stress reduction according to shape optimization of leaf spring was investigated by Gómeza et al., 3 and an optimization algorithm was employed. It is shown that a great potential for extending the fatigue life is realized by shape optimization.…”

Section: Introductionmentioning

confidence: 99%

Structural optimization of ultra-thin leaf spring for weakening elastic hysteresis effect and enhancing fatigue life

Zhang

Liu

Fang

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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Small-size ultra-thin leaf spring as the key elastic sensitive member is widely used in the precision electro-mechanical products. However, owing to the unavoidable elastic hysteresis effect of leaf spring, it always suffers from a significant graceful degradation of designed deflection and subsequently fatigue fracture under the condition of cyclic loading. In order to weaken the elastic hysteresis effect, structural optimization according to sequential quadratic programming method for reducing stress concentration of leaf spring was first carried out by simulations, and then the identification of elastic hysteresis effect for optimal leaf spring was carried out by experiments. Compared with the original design, the maximum deflection deviation for single cycle is decreased from 0.026 mm to 0.002 mm. For the sake of predicting the fatigue life of optimal structure of leaf spring being on the service, a loading block with multistage variable stress amplitudes was experimentally recorded and fitted by normal probability density function, and then a statistical probability method by mathematical analysis was proposed. Compared with the original design, the predicted fatigue life of leaf spring is 736000 loading blocks, which is ten times than that before structural optimization. A structural optimization for reducing stress concentration can significantly weaken the elastic hysteresis effect and enhance the fatigue life, which is benefit for the elastic stability of leaf spring during engineering application.

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Section: Introductionmentioning

confidence: 99%

Structural optimization of ultra-thin leaf spring for weakening elastic hysteresis effect and enhancing fatigue life

Zhang

Liu

Fang

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…Lu et al [31] used the fuzzy optimization design method to optimize the structural parameters of the elliptical flexure hinge, which greatly improved the performance of the hinge. Gómez et al [32] used a combination of linear strain energy formula, parameter thickness distribution definition and a series of optimization algorithms to optimize the shape of the leaf spring to reduce the range of stress. Wiersma et al [33] proposed a method for optimizing the geometry of flexure hinges, which aims at maximizing supporting stiffness.…”

Section: Introductionmentioning

confidence: 99%

Design and analysis of porous flexure hinge based on dual-objective topology optimization of three-dimensional continuum

Qiu

Yue

Zheng

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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This paper properly presents a dual-objective topology optimization mathematical model for compliance and precision performance of flexure hinges based on the three-dimensional continuum topology optimization. The OptiStruct module is applied to solving the problem. And through the post-processing design and parameterization of the results, a single-axis quasi-leaf porous flexure hinge (QLPFH) is generated. The dimensionless empirical equations of the stiffness and rotational center of the hinge are derived by finite element analysis, and the performance of the flexure hinge under different dimensionless parameters is analyzed. Comparing the QLPFH and the leaf flexure hinge (LFH) with the same external space dimensions, the results show that the translational stiffness of the LFH in the desired working direction and the rotational stiffness are much larger than those of the QLPFH. In addition, in the case of the stiffness of the QLPFH is greatly reduced, its precision performance has also been improved to a certain extent. The feasibility of dual-objective design method based on three-dimensional continuum topology optimization is further confirmed.

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“…Crossed flexural pivots with leaf spring have also been used for a simple design purpose. Shape optimization of these springs offers stress reduction, enhanced fatigue life and an extended range of operation [12]. Micromanipulators based on the flexural mechanism and piezo actuated stages enable an enhanced range of motion.…”

Section: Introductionmentioning

confidence: 99%

Design, Development and Implementation of the Position Estimator Algorithm for Harmonic Motion on the XY Flexural Mechanism for High Precision Positioning

Shewale

Razban

Deshmukh³

et al. 2020

Sensors

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This article presents a novel concept of the position estimator algorithm for voice coil actuators used in precision scanning applications. Here, a voice coil motor was used as an actuator and a sensor using the position estimator algorithm, which was derived from an electro-mechanical model of a voice coil motor. According to the proposed algorithm, the position of coil relative to the fixed magnet position depends on the current drawn, voltage across coil and motor constant of the voice coil motor. This eliminates the use of a sensor that is an integral part of all feedback control systems. Proposed position estimator was experimentally validated for the voice coil actuator in integration with electro-mechanical modeling of the flexural mechanism. The experimental setup consisted of the flexural mechanism, voice coil actuator, current and voltage monitoring circuitry and its interfacing with PC via a dSPACE DS1104 R&D microcontroller board. Theoretical and experimental results revealed successful implementation of the proposed novel algorithm in the feedback control system with positioning resolution of less than ±5 microns at the scanning speed of more than 5 mm/s. Further, proportional-integral-derivative (PID) control strategy was implemented along with developed algorithm to minimize the error. The position determined by the position estimator algorithm has an accuracy of 99.4% for single direction motion with the experimentally observed position at those instantaneous states.

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2D shape optimization of leaf-type crossed flexure pivot springs for minimum stress

Cited by 28 publications

References 28 publications

Structural optimization of ultra-thin leaf spring for weakening elastic hysteresis effect and enhancing fatigue life

Structural optimization of ultra-thin leaf spring for weakening elastic hysteresis effect and enhancing fatigue life

Design and analysis of porous flexure hinge based on dual-objective topology optimization of three-dimensional continuum

Design, Development and Implementation of the Position Estimator Algorithm for Harmonic Motion on the XY Flexural Mechanism for High Precision Positioning

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