Design and optimization of a XY compliant mechanical displacement amplifier

Abstract. Piezoelectric actuators are increasingly becoming popular for the use in various industrial, pharmaceutical, and engineering applications. However, their short motion range limits their wide applications. This shortcoming can be overcome by coupling the piezoelectric actuators with a mechanical displacement amplifier. In this paper, a new design for a XY planar motion compliant mechanical displacement amplifier (CMDA) based on the design of a symmetric five-bar compliant mechanical amplifier is introduced. Detailed analysis with Finite Element Method (FEM) of static and dynamic characteristics of the proposed XY CMDA design is also provided. Finally, the optimization process and results to increase the Amplification Ratio (AR) of the proposed XY compliant mechanism with minimal compromise in Natural Frequency (NF) is discussed.

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A New Compliant Mechanical Amplifier Based on a Symmetric Five-Bar Topology

Journal of Mechanical Design ◽

10.1115/1.2965600 ◽

2008 ◽

Vol 130 (10) ◽

Cited By ~ 33

Author(s):

P. R. Ouyang ◽

W. J. Zhang ◽

M. M. Gupta

Keyword(s):

Finite Element Method ◽

Finite Element ◽

High Resolution ◽

Theoretical Analysis ◽

Detailed Analysis ◽

Natural Frequency ◽

Long Range ◽

Piezoelectric Actuator ◽

Compliant Mechanism ◽

Amplification Ratio

A mechanical amplifier is an important device, which together with a piezoelectric actuator can achieve motion with high resolution and long range. In this paper, a new topology based on a symmetric five-bar structure for displacement amplification is proposed, and a compliant mechanism is implemented for the amplifier. In short, the new mechanical amplifier is called a compliant mechanical amplifier (CMA). The proposed CMA can achieve large amplification ratio and high natural frequency, as opposed to the existing CMAs, in terms of topology. Detailed analysis with finite element method has further shown that a double symmetric beam five-bar structure using corner-filleted hinges can provide good performances compared with its counterpart, which is based on four-bar topology. Finally, experiments are conducted to give some validation of the theoretical analysis.

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Key Parameter Design and Optimization for Aviation Corrugated Pipe with Finite Element Method

CSAA/IET International Conference on Aircraft Utility Systems (AUS 2018) ◽

10.1049/cp.2018.0357 ◽

2018 ◽

Author(s):

Zhiyuan Gao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parameter Design ◽

Design And Optimization ◽

Key Parameter ◽

Element Method

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On the Comparison of the Pseudo Rigid Body Model Method and the Finite Element Method for a 3DOF Planar Micro-Motion Stage

Volume 7B: 26th Biennial Mechanisms and Robotics Conference ◽

10.1115/detc2000/mech-14182 ◽

2000 ◽

Author(s):

J. Zou ◽

L. G. Watson ◽

W. J. Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Compliant Mechanism ◽

The Finite Element Method ◽

Real Time Control ◽

Body Model ◽

Time Control ◽

Rigid Body Model ◽

Micro Motion ◽

Element Method

Abstract This paper discusses one type of commonly used parallel manipulator mechanism for the generation of micro-motion. This mechanism is designed as a compliant mechanism. The design and control of such a compliant mechanism is an important issue. This paper focuses on kinematic issues with consideration of future real-time control of the system. In particular, a constant-Jacobian method to approximate the kinematics, which is based on a pseudo rigid body model of the compliant mechanism, is further validated. This validation is based on the difference between this approximate method and the finite element method to the actual device, for an actuator range of 0–15 μm. The computational time with this approximate method is nearly 50 times less than that with the finite element method. It is expected that this approximation method will be far superior to the finite element method in terms of real-time control.

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Topology Optimization of Compliant Mechanisms Based on Interpolation Meshless Method and Geometric Nonlinearity

Volume 5A: 43rd Mechanisms and Robotics Conference ◽

10.1115/detc2019-97412 ◽

2019 ◽

Author(s):

Yonghong Zhang ◽

Zhenfei Zhao ◽

Yaqing Zhang ◽

Wenjie Ge

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Topology Optimization ◽

Galerkin Method ◽

Meshless Method ◽

Geometric Nonlinearity ◽

Compliant Mechanism ◽

Linear Convergence ◽

The Finite Element Method ◽

Element Method

Abstract In order to prevent mesh distortion problem arising in topology optimization of compliant mechanism with massive displacement, a meshless Galerkin method was proposed and studied in this paper. The element-free Galerkin method (EFG) is more accurate than the finite element method, and it does not need grids. However, it is difficult to impose complex boundaries. This paper presents a topology optimization method based on interpolation meshless method, which retains the advantages of the finite element method (FEM) that is easy to impose boundary conditions and high accuracy of the meshless method. At the same time, a method of gradually reducing step is proposed to solve the problem of non-linear convergence caused by low-density points in topology optimization. Numerical example shows that these techniques are valid in topology optimization of compliant mechanism considering the geometric nonlinearity, and simultaneously these techniques can also improve the convergence of nonlinearity.

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Design and Optimization of Bismuth Telluride (Bi2Te3) Thermal Barrier Coating Fabrication by Finite Element Method

International Journal of Engineering Trends and Technology ◽

10.14445/22315381/ijett-v38p227 ◽

2016 ◽

Vol 38 (3) ◽

pp. 149-153

Author(s):

Salit Khan ◽

◽

Meeta Chouhan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Thermal Barrier Coating ◽

Bismuth Telluride ◽

Thermal Barrier ◽

Design And Optimization ◽

Barrier Coating ◽

Element Method

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A Complaint Mechanism with Freedom Degrees of One Movement and Two Rotations

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.551.444 ◽

2014 ◽

Vol 551 ◽

pp. 444-447

Author(s):

Sheng Lin ◽

Xi Kong ◽

Chun Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Element Model ◽

Stiffness Matrix ◽

Degrees Of Freedom ◽

Compliant Mechanism ◽

Element Model ◽

Theory Analysis ◽

The Finite Element Model

Based on the method of Freedom and Constraint Topology (FACT), a compliant mechanism with 3 degrees of freedom is designed. The 3 DOF are one movement and two rotations, which belongs to Case 3, Type 2. The whole stiffness matrix of the compliant mechanism is obtained. The finite element model is established for statics analysis. The results of theory analysis and finite element method are closed.

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Dynamics of a compliant mechanism based on flexure hinges

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/095440605x8478 ◽

2005 ◽

Vol 219 (2) ◽

pp. 225-235 ◽

Cited By ~ 16

Author(s):

K-B Choi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Compliant Mechanism ◽

Equation Of Motion ◽

Rigid Bodies ◽

Flexure Hinge ◽

Flexure Hinges ◽

Better Than ◽

Element Method

This paper presents a novel equation of motion for flexure hinge-based mechanisms. The conventional equation of motion presented in previous work does not adequately describe the behaviours of rigid bodies for the following reasons: firstly, rotational directions for a transformed stiffness lack consistency at the two ends of a flexure hinge; secondly, the length of the flexure hinge is not considered in the equation. The equation of motion proposed in this study solves these problems. Modal analyses are carried out using the proposed equation of motion, the conventional equation of motion found in previous work, and a finite element method. The results show that the proposed equation of motion describes the behaviours of the rigid bodies better than the conventional equation of motion does.

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The Analytical Modeling and Finite Element Analysis of a Bridge-Type Displacement Amplifier

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.397-400.652 ◽

2013 ◽

Vol 397-400 ◽

pp. 652-655

Author(s):

Chuan Liang Shen ◽

Jing Shi Dong ◽

Feng Jun Tian

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Analytical Method ◽

Analytical Relationship ◽

Link Length ◽

Element Analysis ◽

Amplification Ratio ◽

Comparison Results ◽

Bridge Type ◽

Element Method

The bridge-type displacement amplifier is modeled by the analytical method and finite element method. The analytical relationship between the input displacement and output displacement is established. The analytical model is validated by finite element method. The geometric parameters influence of amplification ratio is studied. The comparison results show that the link length and the link angle influence the amplification ratio dramatically. A small link angle and a large link length is beneficial to the amplification ratio. The finite element method has a more precise simulation results than the analytical method under the circumstance of small link angle and short link length.

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