Topology and size optimization for a flexure hinge using an integration of SIMP, deep artificial neural network, and water cycle algorithm

Chau, Ngoc Le; Tran, Ngoc Thoai; Dao, Thanh-Phong

doi:10.1016/j.asoc.2021.108031

Cited by 7 publications

(3 citation statements)

References 66 publications

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“…Many researchers have applied algorithms to the structural optimization of flexure mechanisms. 38,39 For the triangular bi-axial flexure hinge, the general expression of the optimized mathematical model is as follows:…”

Section: Optimization Of the Triangular Bi-axial Flexure Hingementioning

confidence: 99%

Design and analysis of a triangular bi-axial flexure hinge

Lin

Zhao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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To achieve the requirement of flexure hinges for specific optical precision equipment, a new triangular bi-axial flexure hinge is proposed. The analysis model for the flexibility of the triangular bi-axial flexure hinges is derived. After that, the linear and nonlinear finite element methods are used to verify the analysis model. Then, the physical dimensions of the hinge are optimized using the multi-island genetic algorithm in conjunction with the finite element method, and the rotational stiffness and center drift are diminished. Static analysis and modal analysis of the hinge are conducted. A test system was built to gage the flexure hinge’s rotational stiffness. The results demonstrated that there was good agreement between the analytically calculated value, simulated calculated value, and experimental value. To summarize, the analysis model met the design requirements of the triangular bi-axial flexible hinge, and the multi-island genetic algorithm effectively optimized the physical dimensions of the hinge and enhanced its performance. The design process provides new ideas for the design of other forms of hinges.

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Section: Optimization Of the Triangular Bi-axial Flexure Hingementioning

confidence: 99%

Design and analysis of a triangular bi-axial flexure hinge

Lin

Zhao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The first natural frequency of the proposed positioner is defined as the following equation: (31) which has the unit of Hertz.…”

Section: Dynamic Establishment For 1-dof Stagementioning

confidence: 99%

“…Primarily, analytical approaches comprise of a pseudo-rigid-body model (PRBM), compliance matrix method, elastic beam theory, and Castigliano's second theorem [30]. Besides, intelligence-based computational methods were well-formulated such as fuzzy logic, artificial neural network, and adaptive neuro-fuzzy inference system (ANFIS) [31]. Especially, the PRBM is well blended with the Largange method to rapidly assess the primary superiority performances of the positioners, e.g., force-displacement curve and dynamic response.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design and Analysis for a New 1-DOF Compliant Stage Based on Additive Manufacturing Method for Testing Medical Specimens

Dang

Le²,

Tran³

et al. 2022

Symmetry

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In situ nanoindentation is extensively employed for online observing deformation and mechanical behaviors of bio-materials. However, the existing designs of the positioning stages have limited performances for testing soft or hard biomaterials. Consequently, this paper proposes a new structural design of a compliant one degree of freedom (01-DOF) stage with faster response. In addition to a new design, this article applies an analytical method to estimate the kinematic and dynamic behaviors of the stage. Firstly, the 01-DOF stage is designed with two modules, including a displacement amplifier with six levers and a symmetric parallelogram mechanism. Secondly, a kinetostatic diagram of the stage is built by pseudo-rigid-body method. Then, the dynamic equation of the proposed stage is formulated using the Lagrange method. In order to speed up the response of the indentation system, the structural optimization of the stage is conducted via the Firefly algorithm. The results showed that the theoretical first-order resonant frequency is found at about 226.8458 Hz. The theoretical consequences are nearby to the verified simulation. Besides, this achieved frequency of the presented stage is greater than that of previous stages. In an upcoming study, the prototype will be fabricated by additive manufacturing method or a computerized wire cutting method in order to verify the analytical results with experimental results.

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