scholarly journals Design and Analysis of a Novel Flexure-Based XY Micropositioning Stage

2020 ◽  
Vol 10 (23) ◽  
pp. 8336
Author(s):  
Chenlei Jiao ◽  
Zhe Wang ◽  
Bingrui Lv ◽  
Guilian Wang ◽  
Weiliang Yue
Keyword(s):  
Piezoelectric Actuators ◽  
Analytical Models ◽  
Element Analysis ◽  
Compliance Matrix ◽  
Input Signals ◽  
The Finite Element Analysis ◽  
Response Performance ◽  
Compliance Matrix Method ◽  
Micropositioning Stages ◽  
Two Degree Of Freedom

Flexure-based micropositioning stages with high positioning precision are really attractive. This paper reports the design and analysis processes of a two-degree-of-freedom (2-DOF) flexure-based XY micropositioning stage driven by piezoelectric actuators to improve the positioning accuracy and motion performance. First, the structure of the stage was proposed, which was based on rectangular flexure hinges and piezoelectric actuators (PZT) that were arranged symmetrically to realize XY motion. Then, analytical models describing the output stiffness in the XY directions of the stage were established using the compliance matrix method. The finite element analysis method (FEA) was used to validate the analytical models and analyze the static characteristics and the natural frequency of the stage simultaneously. Furthermore, a prototype of the micropositioning stage was fabricated for the performance tests. The output response performance of the stage without an end load was tested using different input signals. The results indicated that the stage had a single direction amplification capability, low hysteresis, and a wide positioning space. The conclusion was that the proposed stage possessed an ideal positioning property and could be well applied to the positioning system.

Design and Analysis of Flexible Continuum Robot Based on Origami and Mortise-Tenon Structure (FCRBOM)

2021 ◽  
Author(s):  
Yue Yu ◽  
Lifang Qiu ◽  
Decheng Wang ◽  
Jing Zou
Keyword(s):  
Degrees Of Freedom ◽  
High Capacity ◽  
Element Analysis ◽  
Compliance Matrix ◽  
The Finite Element Analysis ◽  
Continuum Robot ◽  
Dimensional Parameters ◽  
Compliance Matrix Method ◽  
The Impact ◽  
The Continuum

Abstract The continuum robot is a soft robot with infinite degrees of freedom. Origami has a high capacity for spatial deployment. This paper proposes a flexible continuum robot based on origami and mortise-tenon structure (FCRBOM). The robot consists of some flexible hinges based on origami and mortise-tenon structure (FHBOM). The design process of the FCRBOM is given. The compliance of the FCRBOM is analyzed by the compliance matrix method. The Finite element analysis (FEA) is used to simulate and analyze the FCRBOM, and the correctness of the theoretical analysis is verified. Then a spatial FCRBOM (SFCRBOM) is designed. The impact of key dimensional parameters on the flexibility of SFCRBOM is discussed. Finally, an SFCRBOM with higher flexibility is presented.

Kinetostatics Modeling and Decoupling Analysis of a Crosshair Flexures-Based Nanopositioner

2017 ◽  
Author(s):  
Pengbo Liu ◽  
Songsong Lu ◽  
Peng Yan ◽  
Zhen Zhang
Keyword(s):  
Performance Improvement ◽  
Open Loop ◽  
Element Analysis ◽  
Compliance Matrix ◽  
Input And Output ◽  
Stiffness Model ◽  
Decoupling Analysis ◽  
Compliance Matrix Method ◽  
Cross Axis ◽  
Castigliano’S Theorem

In the present paper, we take the input and output decoupling into account and propose a 2-DOF parallel nanopositioner, which is composed of lever amplification mechanisms, compound parallelogram mechanisms and novel crosshair flexures. In order to demonstrate the decoupling performance improvement of the crosshair flexures, the stiffness model of the crosshair flexures and the kinetostatics model of the nanopositioner are established based on Castigliano’s theorem and the compliance matrix method. Accordingly, the input and output decoupling compliance matrix models are derived to demonstrate the excellent decoupling property of the crosshair flexures based nanopositioner, which is further verified by finite-element analysis and experimental results. The open-loop experiments on the prototype stage demonstrate the maximum stroke of the nanopositioner is up to 65μm and the cross axis coupling errors are less than 1.6%.

Mechanics of Regular-Shape Nanomeshes for Transparent and Stretchable Devices

2020 ◽  
Vol 87 (10) ◽  
Author(s):  
Sandra Vinnikova ◽  
Hui Fang ◽  
Shuodao Wang
Keyword(s):  
Mechanical Properties ◽  
Finite Element Analysis ◽  
Analytical Models ◽  
Regular Polygons ◽  
Element Analysis ◽  
Micro Scale ◽  
Regular Shape ◽  
The Finite Element Analysis ◽  
Mechanical Performances ◽  
Analytical Expressions

Abstract Open nanomesh structures with nano/micro-scale geometric dimensions are important candidates for transparent, soft, and stretchable microelectrodes. This study developed analytical and numerical mechanics models for three types of nanomeshes that consist of regular polygons and straight traces. The analytical models described the transparency, effective stiffness, and stretchability of the nanomeshes and agree with the finite element analysis. The mechanical performances of the nanomeshes are compared based on the same level of transparency. The validated analytical expressions provide convenient guidelines for designing the nanomeshes to have levels of transparency and mechanical properties suitable for bio-integrated applications.

scholarly journals Analytical Study of Coupling Effects for Vibrations of Cable-Harnessed Beam Structures

2019 ◽  
Vol 141 (3) ◽  
Author(s):  
Karthik Yerrapragada ◽  
Armaghan Salehian
Keyword(s):  
Natural Frequencies ◽  
Strain Tensor ◽  
Linear Displacement ◽  
Analytical Models ◽  
Space Structures ◽  
Distributed Parameter ◽  
Element Analysis ◽  
Model Studies ◽  
The Finite Element Analysis ◽  
Lagrange Strain

This paper presents a distributed parameter model to study the effects of the harnessing cables on the dynamics of a host structure motivated by space structures applications. The structure is modeled using both Euler–Bernoulli and Timoshenko beam theories (TBT). The presented model studies the effects of coupling between various coordinates of vibrations due to the addition of the cable. The effects of the cable's offset position, pretension, and radius are studied on the natural frequencies of the system. Strain and kinetic energy expressions using linear displacement field assumptions and Green–Lagrange strain tensor are developed. The governing coupled partial differential equations for the cable-harnessed beam that includes the effects of the cable pretension are found using Hamilton's principle. The natural frequencies from the coupled Euler, Bernoulli, Timoshenko and decoupled analytical models are found and compared to the results of the finite element analysis (FEA).

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.

scholarly journals Wrinkling of a stiff thin film bonded to a pre-strained, compliant substrate with finite thickness

2016 ◽  
Vol 472 (2192) ◽  
pp. 20160339 ◽  
Author(s):  
Yinji Ma ◽  
Yeguang Xue ◽  
Kyung-In Jang ◽  
Xue Feng ◽  
John A. Rogers ◽  
...  
Keyword(s):  
Thin Film ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Thickness ◽  
Analytical Models ◽  
Thickness Effect ◽  
Element Analysis ◽  
Compliant Substrate ◽  
Tensile Stiffness ◽  
The Finite Element Analysis

A stiff thin film bonded to a pre-strained, compliant substrate wrinkles into a sinusoidal form upon release of the pre-strain. Many analytical models developed for the critical pre-strain for wrinkling assume that the substrate is semi-infinite. This critical pre-strain is actually much smaller than that for a substrate with finite thickness (Ma Y et al. 2016 Adv. Funct. Mater. ( doi:10.1002/adfm.201600713 )). An analytical solution of the critical pre-strain for a system of a stiff film bonded to a pre-strained, finite-thickness, compliant substrate is obtained, and it agrees well with the finite-element analysis. The finite-thickness effect is significant when the substrate tensile stiffness cannot overwhelm the film tensile stiffness.

A Linear Scheme for the Displacement Analysis of Micropositioning Stages with Flexure Hinges

1994 ◽  
Vol 116 (3) ◽  
pp. 770-776 ◽  
Author(s):  
I. Her ◽  
J. C. Chang
Keyword(s):  
Stage Structure ◽  
Flexure Hinge ◽  
Element Analysis ◽  
Displacement Analysis ◽  
Constraint Equations ◽  
Flexure Hinges ◽  
Analytical Scheme ◽  
The Finite Element Analysis ◽  
Linear Scheme ◽  
Micropositioning Stages

In this paper we present an analytical scheme for the displacement analysis of micropositioning stages with flexure hinges. The proposed scheme is based on linearization of the geometric constraint equations of the stage structure. A design chart for evaluating the stiffness of the flexure hinge is also presented in this paper. This chart provides more accurate estimations than the design formula presently in use. The proposed linear scheme is general, easy to use, yet capable of obtaining results close to those obtained from the finite element analysis.

scholarly journals Design of Star-Shaped Flextensional Stator for Ultrasonic Motor

2014 ◽  
Vol 6 ◽  
pp. 162535 ◽  
Author(s):  
Lien-Kai Chang ◽  
Mi-Ching Tsai
Keyword(s):  
Normal Force ◽  
Piezoelectric Actuators ◽  
Operating Voltage ◽  
Driving Voltage ◽  
Element Analysis ◽  
Voltage Range ◽  
Resonance Frequencies ◽  
The Finite Element Analysis ◽  
Sensitivity Analysis Method ◽  
Stator Design

When a driving voltage opposite to the piezoelectric polarity is applied on the flextensional stator, it will generate the normal force, of which the operating voltage range of piezoelectric actuators will decrease. This paper presents a novel stator design for producing the normal force in which the driving voltage has the same piezoelectric polarity, which is based on the structure of two multilayer piezoelectric actuators clamped in a star-shaped shell. To obtain the two close resonance frequencies of flexural and translation modes, a genetic algorithm combined with the finite element analysis is employed to find the optimal dimensions for the geometry of the stator. The importance of each design parameter is evaluated through a proposed sensitivity analysis method. A prototype resulting from the optimal design was fabricated and the experimental results are given to show that the stator can generate, in practice, the required coupling resonance mode between 35.15 kHz and 36.49 kHz.

Stiffness analysis of corrugated flexure beam using stiffness matrix method

2018 ◽  
Vol 233 (5) ◽  
pp. 1818-1827 ◽  
Author(s):  
Nianfeng Wang ◽  
Zhiyuan Zhang ◽  
Xianmin Zhang
Keyword(s):  
Stiffness Matrix ◽  
Matrix Method ◽  
Beam Theory ◽  
Analytical Models ◽  
The Finite Element Method ◽  
Compliance Matrix ◽  
Stiffness Analysis ◽  
Compliance Matrix Method ◽  
Euler Bernoulli Beam ◽  
The Relationship

Precision positioning techniques present a significant opportunity to support the instrumentation development for state-of-the-art micro-positioning research. The requirement of large stroke and high resolution of the mechanism without a need for amplifier mechanisms is universally recognized. Corrugated flexure beam can have some potential if designed right because of its large flexibility obtained from longer overall length on the same span. This paper presents stiffness analysis of corrugated flexure beam using stiffness or compliance matrix method. Based on Euler–Bernoulli beam theory and Mohr’s integral method, the deformation analyses of straight segment and semi-circle segment are presented. And the stiffness matrix of corrugated flexure unit is then obtained via transformation matrix. By combining the stiffness matrix of every single corrugated flexure unit, the stiffness matrix of corrugated flexure beam is delivered, which reflects the relationship between the load and displacement. The analytical models are verified by taking advantage of the finite element method, which shows that all the results can be of considerable use in the design of corrugated flexure beam.

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