Dynamic Responses of a Self-Moving Precision Positioning Stage Impacted by a Spring-Mounted Piezoelectric Actuator

2003 ◽  
Vol 125 (4) ◽  
pp. 658-661 ◽  
Author(s):  
Rong-Fong Fung, ◽  
Yung-Tien Liu, ◽  
Tai-Kun Huang, ◽  
Toshiro Higuchi,
Keyword(s):  
Piezoelectric Actuator ◽  
Numerical Solutions ◽  
High Accuracy ◽  
The Self ◽  
Dynamic Responses ◽  
Nanometer Scale ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Precision Positioning ◽  
Positioning Stage

The piezoelectric actuator (PA) has been used for precision positioning from micrometer down to nanometer scale. In this paper, a spring-mounted PA is designed to achieve a high accuracy and self-moving ability in precision positioning motion. The contact force between the hammer and the self-moving stage, and the friction force of Leuven’s model caused between the grinded groove and the self-moving stage are considered. The governing equations of the system are formulated by using the finite-element method (FEM). The numerical solutions are provided to compare with the experimental results, and demonstrate the well agreement of the present theoretical formulations.

An Elastic-Plastic Stress Analysis of the Specimen Used in the Torsional Kolsky Bar

1980 ◽  
Vol 47 (2) ◽  
pp. 278-282 ◽  
Author(s):  
Eric K. C. Leung
Keyword(s):  
Numerical Solutions ◽  
Elastic Stress ◽  
Dynamic Testing ◽  
Kolsky Bar ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Elastic Plastic ◽  
Applied Torque ◽  
Torsional Kolsky Bar ◽  
Tubular Specimens

This paper examines the stress concentration, the yielding process, and the growth of the elastic-plastic boundary as a function of applied torque in tubular specimens with a short thin-walled section. Although the analysis is entirely quasi-static, it can, under the proper circumstances, be applied to the deformation of short specimens as generally used for dynamic testing in the torsional Kolsky bar. In the analysis, the governing equations for both elastic and elastic-plastic analyses are presented, the latter taking into account work hardening. Numerical solutions of these equations employ the finite-element method. The elastic stress distribution in the specimen and the elastic-plastic enclaves are presented for various loading stages.

scholarly journals Application of piezoelectric actuator in series nano-positioning stage

2019 ◽  
Vol 103 (1) ◽  
pp. 003685041989219
Author(s):  
Qian Lu ◽  
Xifu Chen
Keyword(s):  
Piezoelectric Actuator ◽  
Piezoelectric Ceramics ◽  
High Accuracy ◽  
Linear Actuator ◽  
Working Space ◽  
Motion Modes ◽  
Positioning Stage ◽  
Motion Speed ◽  
In Series ◽  
Working Principle

The existing nano-positioning stages are driven by the piezoelectric ceramics, which have features of high accuracy and resolution, but the traditional positioning stage could not meet the requirement of large working space because the displacement of the piezoelectric ceramics is only tens of microns. To solve the contradiction between high accuracy and large working space, a novel non-resonant piezoelectric linear actuator, which adopted the two parallel v-shaped stators as the double driving feet, was proposed, and both its working principle and structure were discussed in detail. The actuator was used to drive the positioning stage directly to obtain the performance of nano-positioning and large working stroke. The experiment results show that the resolution of the actuator is 0.015 μm, and its stable maximum motion speed is 17.4 mm/s, while the degree-of-freedom of step resolution of teach nano-positioning stage is 0.018 μm, 0.016 μm, and 0.3 μrad, respectively. Compared with the traditional positioning stage, the nano-positioning stage driven by the actuators directly also has excellent working stroke. The key performance of both high resolution and large working stroke of the nano-positioning stage was realized based on different motion modes of only one piezoelectric actuator.

Modeling the Multiphysics Wrinkling Instability of Ionic Polymer Composite Plates for Artificial Muscle Applications

2016 ◽  
Author(s):  
John G. Michopoulos ◽  
Athanasios P. Iliopoulos
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Polymer Composite ◽  
Large Deflection ◽  
Numerical Solutions ◽  
Artificial Muscle ◽  
Composite Plates ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Ionic Polymer

In this paper we first present the derivation of the governing equations that describe the multiphysics behavior of Ionic Polymer Composite Plates (IPMC). This is done in a manner that accounts for their non-linear large deflection deformation under the influence of mechanical, electrical, thermal and multicomponent mass transport fields. We subsequently present numerical solutions of the system of these equations via the use of the finite element method for a case of a specific rectangular plate. Emphasis is given in identifying the multiphysics based wrinkling instability behavior that manifest near the corners of these plates due to multiphysics stimuli.

Derivation of Governing Equations For Self-Acting Foil Bearings

1967 ◽  
Vol 89 (3) ◽  
pp. 334-339 ◽  
Author(s):  
E. J. Barlow
Keyword(s):  
Boundary Conditions ◽  
Numerical Solutions ◽  
Bending Stiffness ◽  
The Self ◽  
Governing Equations ◽  
Foil Bearings ◽  
Foil Bearing

Contained is the derivation of the equations for the self-acting foil bearing. These equations include the effects of bending stiffness of the tape and of compressibility of the lubricant. They are nonlinear, and the boundary conditions are divided equally between the two ends of the tape. These complications even make obtaining numerical solutions difficult. Linearized solutions are derived for large wrap angles neglecting the bending stiffness of the tape.

Automation of Strength Calculations for Beam Structures

2014 ◽  
Vol 953-954 ◽  
pp. 1653-1656
Author(s):  
Alexander V. Chekanin
Keyword(s):  
Mechanical Characteristics ◽  
Numerical Solutions ◽  
High Accuracy ◽  
Automation System ◽  
The Finite Element Method ◽  
Sweep Method ◽  
Beam Structures ◽  
Beam Elements ◽  
External Loads ◽  
Physical And Mechanical Characteristics

In the article an automation system for analysis of stress-strain state of beam structures is considered. Unlike the finite element method, determining matrices are calculated using the sweep method in the Godunov’s form. Numerical solutions in this case can be gotten with almost any accuracy within accepted hypotheses of mathematical model for object calculation. It is assumed that beam elements can have variable along their axes physical and mechanical characteristics. External loads can also vary along the axes of beams. The paper contains examples that demonstrate the extremely high accuracy of the developed algorithms.

Dynamic Modeling and Vibration Analysis of the Atomic Force Microscope

2001 ◽  
Vol 123 (4) ◽  
pp. 502-509 ◽  
Author(s):  
Rong-Fong Fung ◽  
Shih-Chien Huang
Keyword(s):  
Atomic Force Microscope ◽  
Piezoelectric Actuator ◽  
Vibration Analysis ◽  
Equations Of Motion ◽  
Repulsive Force ◽  
Dynamic Responses ◽  
Governing Equations ◽  
External Voltage ◽  
Atomic Force ◽  
Vdw Force

The objective of this paper is to formulate the equations of motion and to investigate the vibrations of the atomic force microscope (AFM), which is divided into the contact and noncontact types. First, the governing equations of the AFM including both base oscillator and piezoelectric actuator are obtained using Hamilton’s principle. In the dynamic analysis, the piezoelectric layer is treated as a sensor to measure the deflection and as an actuator to excite the AFM via an external voltage. The repulsive force and van der Waals (vdW) force are considered in the contact and noncontact types of the AFM, respectively. Some important observations are made from the governing equations and boundary conditions. Finally, numerical results using a finite element method are provided to illustrate the excitation effects of base oscillator and piezoelectric actuator on the dynamic responses.

scholarly journals Design, Analysis, and Experiment on a Novel Stick-Slip Piezoelectric Actuator with a Lever Mechanism

Micromachines ◽  
2019 ◽  
Vol 10 (12) ◽  
pp. 863 ◽  
Author(s):  
Weiqing Huang ◽  
Mengxin Sun
Keyword(s):  
Piezoelectric Actuator ◽  
Simple Structure ◽  
Fast Response ◽  
Displacement Sensor ◽  
Design Parameters ◽  
The Finite Element Method ◽  
Stick Slip ◽  
Lever Mechanism ◽  
Series Of Experiments ◽  
Stator Design

A piezoelectric actuator using a lever mechanism is designed, fabricated, and tested with the aim of accomplishing long-travel precision linear driving based on the stick-slip principle. The proposed actuator mainly consists of a stator, an adjustment mechanism, a preload mechanism, a base, and a linear guide. The stator design, comprising a piezoelectric stack and a lever mechanism with a long hinge used to increase the displacement of the driving foot, is described. A simplified model of the stator is created. Its design parameters are determined by an analytical model and confirmed using the finite element method. In a series of experiments, a laser displacement sensor is employed to measure the displacement responses of the actuator under the application of different driving signals. The experiment results demonstrate that the velocity of the actuator rises from 0.05 mm/s to 1.8 mm/s with the frequency increasing from 30 Hz to 150 Hz and the voltage increasing from 30 V to 150 V. It is shown that the minimum step distance of the actuator is 0.875 μm. The proposed actuator features large stroke, a simple structure, fast response, and high resolution.

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