Multi-Material Topology Optimization of Flexure Hinges Using Element Stacking Method

Liu, Min; Li, Yifeng; Zhan, Jinqing

doi:10.3390/mi13070993

Cited by 3 publications

(4 citation statements)

References 44 publications

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“…In summary, the rotational stiffness of the spring decreases with the increase of the number of series flexure hinges, which is in accordance with the theoretical prediction in equation (12). And the influence of the structural size parameters on the rotational stiffness of the spring is very similar to the influence of corresponding parameters on a single flexure hinge [33,35,36]. These indicate that the simulation results are reasonable and credible.…”

Section: Structural Size Parameter Optimization Of the Sfh With Simul...supporting

confidence: 83%

A novel ultra-simplified flexure-based spring-mass device for relative gravimeter

Kong

Liu²,

Diao

et al. 2023

Meas. Sci. Technol.

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This study presents the design and test of a novel ultra-simplified flexure-based spring-mass device (NUFSMD) with high sensitivity for relative gravimeters. The NUFSMD is mainly composed of a highly sensitive spring based on flexure hinges (SFH) and a cantilever beam. When the change of gravity causes SFH to rotate, an amplified displacement can be obtained on the tail of the cantilever beam. The displacement is measured by a capacitive displacement sensor. The change of gravitational acceleration can be calculated based on the output of the sensor. A theoretical analysis of the working principle of the NUFSMD is established. A prototype NUFSMD is machined from 304 stainless steel and a series of experiments are carried out. The effectiveness of gravity measurement is demonstrated by finite element simulations and experiments. The experimental results show that the sensitivity of the NUFSMD is about 15.27 μgal/nm, and the resolution is about 1.83 μgal. The designed NUFSMD shows outstanding performance. And the sensitivity and resolution of the NUFSMD can be further improved by increasing the number of flexible hinges connected in series. Compared with the existing spring-mass devices in high-precision relative gravimeters, the significant advantage of the NUFSMD is that it is simple in structure and easy to machine, which helps to greatly improve performance. Firstly, it is simple in structure, so it can be machined in one piece, which considerately contributes to stability and precision. Secondly, it is easy to machine, so it can be machined from high-performance but difficult-to-machine materials to improve its performance. Thirdly, there are a few parameters that need to be traded off for miniaturization because of the simple structure, so it is easy to be miniaturized to adapt to narrow measurement space. Therefore, it is expected to greatly improve the performance of the existing spring-mass device in relative gravimeters.

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Section: Structural Size Parameter Optimization Of the Sfh With Simul...supporting

confidence: 83%

A novel ultra-simplified flexure-based spring-mass device for relative gravimeter

Kong

Liu²,

Diao

et al. 2023

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…To find flexure hinges with better performance, the researchers proposed design methods based on topology optimization. Liu et al established a topology optimization model of flexure hinges considering different constraints and objectives, and new topological configurations of flexure hinges are obtained 25–28 …”

Section: Introductionmentioning

confidence: 99%

“…Liu et al established a topology optimization model of flexure hinges considering different constraints and objectives, and new topological configurations of flexure hinges are obtained. [25][26][27][28] Researchers have also investigated the dynamics of flexure hinges. Lobontiu et al 29 derived the three-node stiffness matrix and mass matrix of straight circular flexure hinges based on the high-order displacement interpolation function.…”

Section: Introductionmentioning

confidence: 99%

Theoretical, numerical, and experimental investigation on the compliance and natural frequency of sinusoidal flexure hinges

Wang

Long

Wei

et al. 2023

Engineering Reports

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To design a flexure hinge with high precision and high natural frequency, the sinusoidal flexure hinge is proposed in this article. First, the formulae for the compliance and precision factors of the hinge were derived based on the Euler–Bernoulli beam theory and the Gauss–Legendre quadrature formula. The natural frequency was also investigated based on the transfer matrix method. Compared with the simulation results of ANSYS Workbench, the results show that the modeling error is less than 6.7%. Second, the influence of structural parameters on compliance, precision factor, compliance precision ratio, and natural frequency was analyzed. The results show that compliance and precision are often contradictory, and the minimum thickness significantly influences the hinge's performance. Compared with conic flexure hinges in terms of compliance, precision, compliance precision ratios, and natural frequency, the sinusoidal flexure hinges have a better comprehensive performance. Finally, a flexure hinge was manufactured, and compliance was measured. The experimental results show that the error between the experimental value and the modeling value is 7.8%. Both simulation and experimental results verify the effectiveness of the sinusoidal flexure hinge model.

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“…The lever mechanism has a flexible structure and high amplification, but the coupling motion is serious, making the actual displacement amplification smaller than the theoretical displacement amplification [ 29 , 30 , 31 ]. The bridge mechanism is compact, has good symmetry and often poor lateral stiffness, and has difficulty resisting external forces in the direction of non-motion [ 32 , 33 ]; the Scott–Russell mechanism is a triangular amplification mechanism, and, due to the lack of symmetry of the mechanism, and the structure of the bloated, low amplification, it is less used in practical engineering. Therefore, in this paper, a symmetric lever mechanism is used, which not only enhances its output displacement significantly, but also decouples the displacement in the non-motion direction [ 34 ].…”

Section: Introductionmentioning

confidence: 99%

Design and Analysis of XY Large Travel Micro Stage Based on Secondary Symmetric Lever Amplification

Zhang,

Xiong,

Pan

et al. 2023

Micromachines

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This study presents a newly developed piezoelectric drive mechanism for the purpose of designing, analyzing, and testing a micro-positioning platform driven by piezoelectric actuators. The platform incorporates a piezoelectric ceramic actuator and a flexible hinge drive and features a symmetrical two-stage lever (STSL) amplification mechanism and a parallelogram output structure. The implementation of this design has led to notable enhancements in the dynamic properties of the platform, thereby eliminating the undesired parasitic displacement of the mechanism. An analytical model describing the fully elastic deformation of the platform is established, which is further verified by finite element simulation. Finally, the static and dynamic performances of the platform are comprehensively evaluated through experiments. A closed-loop control strategy is adopted to eliminate the nonlinear hysteresis phenomenon of the piezoceramic actuator (PEA). The experimental results show that the piezoelectric micro-actuator platform has a motion range of 97.84 μm × 98.03 μm; the output coupling displacement error is less than 1%; the resolutions of the two axes are 8.1 nm and 8 nm, respectively; and the x-axis and y-axis trajectory tracking errors are both 0.6%. The piezoelectric micromotion platform has good dynamic properties, precision, and stability. The design has a wide application potential in the field of micro-positioning.

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Multi-Material Topology Optimization of Flexure Hinges Using Element Stacking Method

Cited by 3 publications

References 44 publications

A novel ultra-simplified flexure-based spring-mass device for relative gravimeter

A novel ultra-simplified flexure-based spring-mass device for relative gravimeter

Theoretical, numerical, and experimental investigation on the compliance and natural frequency of sinusoidal flexure hinges

Design and Analysis of XY Large Travel Micro Stage Based on Secondary Symmetric Lever Amplification

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