Design and Analysis of a Distributed Multi-Leaves and Large-Deformation Flexible Hooke Hinge

Flexible hinge is a typical flexible element in compliant mechanisms. But in the micro area, the design of flexible Hook hinge is rare. Compared with the traditional gap-type flexure hinges, flexure hinges with curve leaf are more prone to large deformation in functions direction under the load. And through the rational design, overall error of whole body with flexure hinges with curve leaf would be reduced to a minimum. So this article uses the curve leaf as the basic unit to construct a distributed multi-leaves and large-deformation flexible Hooke hinge. In view of the hinge structure is complex and very difficult to get accurate model, the model of flexible hinge Hook is establish by pseudo-rigid method to analysis the deformation of flexible hinge Hook under pure torque load. Theoretical analysis and nonlinear finite element analysis results are very close, proved that the construction of pseudo-rigid body model is correct. The results also show that this new type of distributed multi-leaves and large-deformation flexible Hooke hinge can provide the larger two-dimensional rotating schedule, and center drift of rotation is small. So this flexible Hooke hinge is a new type of large deformation flexible Hook hinge and line with the basic rotation characteristics of Hooke hinge.

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Simulation and Optimization of Flexible Hooke Hinge

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.201-202.574 ◽

2012 ◽

Vol 201-202 ◽

pp. 574-577 ◽

Cited By ~ 1

Author(s):

Wei Sun

Keyword(s):

Degrees Of Freedom ◽

Large Deflection ◽

Compliant Mechanisms ◽

Rotation Angle ◽

Basic Unit ◽

Excellent Performance ◽

Simulation And Optimization ◽

Element Simulation ◽

New Type ◽

Perpendicular Axis

Flexible Flexible hinge is a typical flexible element in compliant mechanisms. Hooke hinge is a combination of the two revolute whose axis through the same point. It allows the two components have relative rotation of two degrees of freedom along the perpendicular axis. The distributed multi-reeds and large-deflection flexible Hooke hinge with the curve reed as the basic unit is analysed by finite element simulation, and is optimized in Multi-objective. The Hooke hinge after optimization lines with the basic rotation characteristics of Hooke hinge. It can provide the larger two-dimensional rotating schedule.It’s unilateral rotation angle can up to ±11.9 °, and the center drift and input coupling of rotation is small. So this flexible Hooke hinge is a new type of large deformation flexible Hook hinge which have excellent performance.

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Hybrid Compliant Mechanism Design Using a Mixed Mesh of Flexure Hinge Elements and Beam Elements Through Topology Optimization

Journal of Mechanical Design ◽

10.1115/1.4030990 ◽

2015 ◽

Vol 137 (9) ◽

Cited By ~ 17

Author(s):

Lin Cao ◽

Allan T. Dolovich ◽

Wenjun (Chris) Zhang

Keyword(s):

Topology Optimization ◽

Compliant Mechanisms ◽

Compliant Mechanism ◽

Optimization Technique ◽

Flexure Hinge ◽

Beam Elements ◽

Flexure Hinges ◽

New Type ◽

Meshing Scheme ◽

Compliant Mechanism Design

This paper proposes a topology optimization framework to design compliant mechanisms with a mixed mesh of both beams and flexure hinges for the design domain. Further, a new type of finite element, i.e., super flexure hinge element, was developed to model flexure hinges. Then, an investigation into the effects of the location and size of a flexure hinge in a compliant lever explains why the point-flexure problem often occurs in the resulting design via topology optimization. Two design examples were presented to verify the proposed technique. The effects of link widths and hinge radii were also investigated. The results demonstrated that the proposed meshing scheme and topology optimization technique facilitate the rational decision on the locations and sizes of beams and flexure hinges in compliant mechanisms.

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Multi-objective optimization of a type of ellipse-parabola shaped superelastic flexure hinge

Mechanical Sciences ◽

10.5194/ms-7-127-2016 ◽

2016 ◽

Vol 7 (1) ◽

pp. 127-134 ◽

Cited By ~ 4

Author(s):

Zhijiang Du ◽

Miao Yang ◽

Wei Dong

Keyword(s):

Compliant Mechanisms ◽

Pareto Frontier ◽

Flexure Hinge ◽

Multi Objective Optimization ◽

Nsga Ii ◽

Element Analysis ◽

Multi Objective ◽

Flexure Hinges ◽

Static Responses ◽

Motion Range

Abstract. Flexure hinges made of superelastic materials is a promising candidate to enhance the movability of compliant mechanisms. In this paper, we focus on the multi-objective optimization of a type of ellipse-parabola shaped superelastic flexure hinge. The objective is to determine a set of optimal geometric parameters that maximizes the motion range and the relative compliance of the flexure hinge and minimizes the relative rotation error during the deformation as well. Firstly, the paper presents a new type of ellipse-parabola shaped flexure hinge which is constructed by an ellipse arc and a parabola curve. Then, the static responses of superelastic flexure hinges are solved via non-prismatic beam elements derived by the co-rotational approach. Finite element analysis (FEA) and experiment tests are performed to verify the modeling method. Finally, a multi-objective optimization is performed and the Pareto frontier is found via the NSGA-II algorithm.

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Investigation of Band-Pass Filters of K-Range on Rectangular Concentric Resonators

Journal of the Russian Universities Radioelectronics ◽

10.32603/1993-8985-2020-23-1-63-69 ◽

2020 ◽

Vol 23 (1) ◽

pp. 63-69

Author(s):

V. V. Komarov ◽

S. K. Bushanskiy

Keyword(s):

Finite Element ◽

Spectral Characteristics ◽

Microwave Filters ◽

Basic Unit ◽

Microwave Range ◽

Element Analysis ◽

Cavity Resonators ◽

Microwave Engineering ◽

New Type ◽

Electromagnetic Signals

Introduction. Simple-shaped cavity resonators: rectangular, cylindrical and coaxial, are widely applied in modern microwave engineering in design of different functional devices of middle and high power levels. Parameters of resonators can be obtained analytically by using expressions from literature. Concentric resonators, performed on the basis of classical simple-shaped cavities with a central metallic core represent a new class of electrodynamic systems of microwave range, the properties of which remain poorly studied. One of these structures, named a rectangular concentric resonator (RCR) is proposed in the paper as a basic unit of K-band bandpass filters (18...26 GHz).Aim. To study potential possibilities of RCR for creation electromagnetic signals filtration devices of micro wave range.Materials and methods. The finite element method implemented in the package COMSOL was used to investigate electrodynamic characteristics of RCR and scattering matrix parameters of the microwave filters on RCR basis.Results. Simple polynomial expressions for computation of normalized resonant wavelengths of RCR were obtained at the first stage of modeling. Next, two models of passband microwave filters by RCR with different sizes were built and their EM characteristics were studied. Cavities sizes were determined numerically and practical recommendations on the realization of a new type bandpass microwave filters were formulated.Conclusion. New results of the finite-element analysis of spectral characteristics of two models of bandpass Krange filters on rectangular concentric resonators were represented. The advantages of the filters were indicated. Simple analytical expressions for calculation of the resonance wavelengths of the considered concentric resonators were obtained.

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Optimization and Analysis of Z-Type Flexure Hinge Based on Workbench

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.668-669.226 ◽

2014 ◽

Vol 668-669 ◽

pp. 226-229

Author(s):

Hui Xue Bao ◽

Qiang Liu ◽

Rong Qi Wang ◽

Cheng Ming Zuo ◽

Xiao Qin Zhou

Keyword(s):

Compliant Mechanisms ◽

Structural Parameters ◽

Optimization Method ◽

Optimal Parameters ◽

Element Analysis ◽

Flexure Hinges ◽

Performance Indexes ◽

The Finite Element Analysis ◽

Critical Components ◽

Significant Factors

Flexure hinges are regarded as the critical components of the compliant mechanisms, its performance is one of the significant factors which could directly determine the merits and demerits of designed compliant mechanisms. So how to optimize the flexure hinges becomes the key step in designing processes of compliant mechanisms. In view of the presented importance of flexure hinges, this paper proposes a sort of multi-objective optimization method which can rapidly analyze the sensitivity and interactional laws between the performance indexes and the structural parameters of flexure hinges with the Workbench software, then to select the optimal parameters by combining with the actual working conditions of flexure hinges. Finally the finite element analysis is employed to analyze the optimization results and verify the effectiveness of proposed optimization method.

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New empirical stiffness equations for corner-filleted flexure hinges

Mechanical Sciences ◽

10.5194/ms-4-345-2013 ◽

2013 ◽

Vol 4 (2) ◽

pp. 345-356 ◽

Cited By ~ 22

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 &leq; t/l &leq; 1) and ensure the accuracy for each empirical stiffness equation under large deformation. The errors are within 6% when compared to FEA results.

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On mechanical properties of planar flexure hinges of compliant mechanisms

Mechanical Sciences ◽

10.5194/ms-2-109-2011 ◽

2011 ◽

Vol 2 (1) ◽

pp. 109-117 ◽

Cited By ~ 23

Author(s):

F. Dirksen ◽

R. Lammering

Keyword(s):

Natural Frequencies ◽

Compliant Mechanisms ◽

Experimental Studies ◽

Element Analysis ◽

Single Node ◽

Elastic Deformations ◽

Leaf Type ◽

Flexure Hinges ◽

Analytical Expressions ◽

Circular Notch

Abstract. The synthesis of compliant mechanisms yield optimized topologies that combine several stiff parts with highly elastic flexure hinges. The hinges are often represented in finite element analysis by a single node (one-node hinge) leaving doubts on the physical meaning as well as an uncertainty in the manufacturing process. To overcome this one-node hinge problem of optimized compliant mechanisms' topologies, one-node hinges need to be replaced by real flexure hinges providing desired deflection range and the ability to bear internal loads without failure. Therefore, several common types of planar flexure hinges with different geometries are characterized and categorized in this work providing a comprehensive guide with explicit analytical expressions to replace one-node hinges effectively. Analytical expressions on displacements, stresses, maximum elastic deformations, bending stiffness, center of rotation and first natural frequencies are derived in this work. Numerical simulations and experimental studies are performed validating the analytical results. More importance is given to practice-oriented flexure hinge types in terms of cost-saving manufacturability, i.e. circular notch type hinges and rectangular leaf type hinges.

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Optimal Structural Design of Micro-Motion Stage with Stiffness Constraints Using Topology and Sizing Optimization Method

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.679.55 ◽

2016 ◽

Vol 679 ◽

pp. 55-58

Author(s):

You Dun Bai ◽

Zhi Jun Yang ◽

Xin Chen ◽

Meng Wang

Keyword(s):

Compliant Mechanisms ◽

Optimization Methods ◽

Flexure Hinge ◽

Leaf Spring ◽

Element Analysis ◽

Sizing Optimization ◽

Flexure Hinges ◽

Spring Type ◽

Micro Motion ◽

Motion Stage

Flexure hinge is widely used in the compliant mechanisms for precision engineering. Generally, compliant mechanisms with flexure hinges are designed using the analytical stiffness formulas, which increases the design complexity. As the development of finite element analysis (FEA) and optimization methods, it is likely to design the flexure hinges directly using the FEA based numerical optimization methods. This paper developed a leaf spring type flexure hinge based micro-motion stage with specific stiffness constraints. Both topology and sizing optimization methods are used in the design of motion stage. The proposed methods is apply to optimal design formed the leaf spring type flexure hinge for a micro motion stage which serves as a guidance mechanism. Further numerical result shows the good stiffness stability of the refined stage.

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