scholarly journals Analytical Compliance Equations of Generalized Elliptical-Arc-Beam Spherical Flexure Hinges for 3D Elliptical Vibration-Assisted Cutting Mechanisms

Materials ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 5928
Author(s):  
Han Wang ◽  
Shilei Wu ◽  
Zhongxi Shao
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Flexure Hinge ◽  
Matrix Formulation ◽  
Element Analysis ◽  
Compliance Matrix ◽  
Flexure Hinges ◽  
Elliptical Vibration ◽  
Relative Standard ◽  
Cutting Mechanisms

Elliptical vibration-assisted cutting technology has been widely applied in complicated functional micro-structured surface texturing. Elliptical-arc-beam spherical flexure hinges have promising applications in the design of 3D elliptical vibration-assisted cutting mechanisms due to their high motion accuracy and large motion ranges. Analytical compliance matrix formulation of flexure hinges is the basis for achieving high-precision positioning performance of these mechanisms, but few studies focus on this topic. In this paper, analytical compliance equations of spatial elliptic-arc-beam spherical flexure hinges are derived, offering a convenient tool for analysis at early stages of mechanism design. The mechanical model of a generalized flexure hinge is firstly established based on Castigliano's Second Theorem. By introducing the eccentric angle as the integral variable, the compliance matrix of the elliptical-arc-beam spherical flexure hinge is formulated. Finite element analysis is carried out to verify the accuracy of the derived analytical compliance matrix. The compliance factors calculated by the analytical equations agree well with those solved in the finite element analysis for the maximum error; average relative error and relative standard deviation are 8.25%, 1.83% and 1.78%, respectively. This work lays the foundations for the design and modeling of 3D elliptical vibration-assisted cutting mechanisms based on elliptical-arc-beam spherical flexure hinges.

scholarly journals New empirical stiffness equations for corner-filleted flexure hinges

2013 ◽  
Vol 4 (2) ◽  
pp. 345-356 ◽  
Author(s):  
Q. Meng ◽  
Y. Li ◽  
J. Xu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Large Deformation ◽  
Flexure Hinge ◽  
Minimum Thickness ◽  
Element Analysis ◽  
Flexure Hinges ◽  
Fillet Radius

Abstract. This paper investigates the existing stiffness equations for corner-filleted flexure hinges. Three empirical stiffness equations for corner-filleted flexure hinges (each fillet radius, r, equals to 0.1 l; l, the length of a corner-filleted flexure hinge) are formulated based on finite element analysis results for the purpose of overcoming these investigated limitations. Three comparisons made with the existing compliance/stiffness equations and finite element analysis (FEA) results indicate that the proposed empirical stiffness equations enlarge the range of rate of thickness (t, the minimum thickness of a corner-filleted flexure hinge) to length (l), t/l (0.02 ≤ t/l ≤ 1) and ensure the accuracy for each empirical stiffness equation under large deformation. The errors are within 6% when compared to FEA results.

Design and Optimization of a New Hollow Circular Flexure Hinge for Precision Mechanisms

2019 ◽  
Vol 889 ◽  
pp. 337-345 ◽  
Author(s):  
Van Khien Nguyen ◽  
Duy Luong Tuong ◽  
Huy Tuan Pham ◽  
Huy Hoang Pham
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Optimization Procedure ◽  
Longitudinal Axis ◽  
Maximum Load ◽  
Flexure Hinge ◽  
Element Analysis ◽  
Design And Optimization ◽  
Parasitic Motion ◽  
Flexure Hinges

Flexure hinges have been used in many precision mechanisms where repeatable, friction free motion and high precision are required. Many kinds of flexure profiles have been proposed during the past decade. This paper presents a new type of flexure hinge which combines circular longitudinal axis beams to form hollow joint. This novel design will help to improve the range of motion, reduce stress level and increase the maximum load before yielding. Due to its special design, the cavity inside the hinge can also be filled with an elastomeric filler material to provide vibration damping. In order to synthesis this hinge, shape optimization integrating genetic algorithm and response surface methodology is used. The optimization procedure is programmed in MATLAB whereas finite element analysis in ANSYS is also embedded into the codes to enhance the calculation process. The new flexure hollow hinge is compared to the conventional straight-axis solid hinges (circular, elliptical and corner-filleted flexure hinges) in terms of stiffness, rotational precision and stress levels. It is also supposed that this new design would increase the precision of the mechanism due to reducing the parasitic motion. Finite element analysis in ANSYS is used to verify for the viability of the design before it can be fabricated and tested.

Design and Analysis of a Miniaturization Nanoindentation and Scratch Device

2011 ◽  
Vol 314-316 ◽  
pp. 1792-1795
Author(s):  
Hu Huang ◽  
Hong Wei Zhao ◽  
Jie Yang ◽  
Shun Guang Wan ◽  
Jie Mi ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Amorphous Alloy ◽  
Natural Frequencies ◽  
Geometric Parameters ◽  
Flexure Hinge ◽  
Element Analysis ◽  
Modal Characteristics

In this paper, a miniaturization nanoindentation and scratch device was developed. Finite element analysis was carried out to study static and modal characteristics of x/y flexure hinge and z axis driving hinge as well as effect of geometric parameters on output performances of z axis driving hinge. Results indicated that x/y flexure hinge and z axis driving hinge had enough strength and high natural frequencies. Geometric parameters of z axis driving hinge affected output performances significantly. The model of developed device was established. Indentation experiments of Si and amorphous alloy showed that the developed miniaturization nanoindentation and scratch device worked well and can carry out indentation experiments with certain accuracy.

Theory modeling and finite element analysis of tensile flexure hinge

2016 ◽  
Vol 24 (1) ◽  
pp. 119-125
Author(s):  
曹 毅 CAO Yi ◽  
刘 凯 LIU Kai ◽  
单春成 SHAN Chun-cheng ◽  
王 强 WANG Qiang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Flexure Hinge ◽  
Element Analysis

Design and Assessment of a Flexure-Based 2-DOF Micromanipulator for Automatic Cell Micro-Injection

2012 ◽  
Vol 457-458 ◽  
pp. 445-448 ◽  
Author(s):  
Hui Tang ◽  
Yang Min Li ◽  
Ji Ming Huang ◽  
Qin Min Yang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Theoretical Analysis ◽  
Degrees Of Freedom ◽  
Lagrange Equation ◽  
Element Analysis ◽  
Compliance Matrix ◽  
Cell Injection ◽  
Modeling And Analysis ◽  
Compliance Matrix Method

The design and assessment of a flexure-based parallel micromanipulator with two-degrees-of-freedom (2-DOF) for automatic cell injection is presented in this paper. The design and modeling of the micromanipulator are conducted by employing compliance matrix method. The dynamic modeling and analysis via Lagrange equation are conducted to improve the bandwidth of the mechanism. Both theoretical analysis and finite element analysis (FEA) results well validate the good performance of the micromanipulator which will be applied to practical cell manipulations.

Flexure Hinge Guided Motion Gripper with Force Sensor

2011 ◽  
Vol 121-126 ◽  
pp. 3299-3303
Author(s):  
Li Ma ◽  
Ci Xiong Xu ◽  
Sha Sha Zhou ◽  
Wei Bin Rong ◽  
Li Ning Sun
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Force Sensor ◽  
Flexure Hinge ◽  
Working Process ◽  
Temperature Drift ◽  
Maximum Displacement ◽  
Element Analysis ◽  
Output Displacement ◽  
Strain Type

A piezoelectric gripper with force sensor is presented for an optical precision manipulation. The gripper utilizes flexure hinge mechanisms with two-step amplification to achieve output displacement. Micro displacement amplification principle of the gripper is analyzed and verified using finite element analysis (FEA) soft. A force sensor of resistance strain type with elastic plate structure of bi-cantilever is designed, which is fixed at the bottom of the gripper to detect force signals during the working process. The strain foils adopt a connecting method of full-bridge. According to theoretical analysis and FEA of the force sensor, bonding positions of the strain foils are determined. Experimental results indicate that the sensor has good linearity and little temperature drift and creep, and its resolution is less than 100mN. Micro-vision method is used to test the gripper, and maximum displacement is 302μm.

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