Performance Evaluation of Numerical Finite Element Coupled Algorithms for Structure–Electric Interaction Analysis of MEMS Piezoelectric Actuator

2019 ◽  
Vol 16 (07) ◽  
pp. 1850106 ◽  
Author(s):  
Prakasha Chigahalli Ramegowda ◽  
Daisuke Ishihara ◽  
Tomoya Niho ◽  
Tomoyoshi Horie
Keyword(s):  
Finite Element ◽  
Piezoelectric Actuator ◽  
3D Structure ◽  
Time Integration ◽  
Low Frequency ◽  
Piezoelectric Actuators ◽  
Piezoelectric Bimorph ◽  
Iterative Coupling ◽  
Electric Interaction ◽  
Numerical Finite Element

This work presents multiphysics numerical analysis of piezoelectric actuators realized using the finite element method (FEM) and their performances to analyze the structure-electric interaction in three-dimensional (3D) piezoelectric continua. Here, we choose the piezoelectric bimorph actuator without the metal shim and with the metal shim as low-frequency problems and a surface acoustic wave device as a high-frequency problem. More attention is given to low-frequency problems because in our application micro air vehicle’s wings are actuated by piezoelectric bimorph actuators at low frequency. We employed the Newmark’s time integration and the central difference time integration to study the dynamic response of piezoelectric actuators. Monolithic coupling, noniterative partitioned coupling and partitioned iterative coupling schemes are presented. In partitioned iterative coupling schemes, the block Jacobi and the block Gauss–Seidel methods are employed. Resonance characteristics are very important in micro-electro-mechanical system (MEMS) applications. Therefore, using our proposed coupled algorithms, the resonance characteristics of bimorph actuator is analyzed. Comparison of the accuracy and computational efficiency of the proposed numerical finite element coupled algorithms have been carried out for 3D structure–electric interaction problems of a piezoelectric actuator. The numerical results obtained by the proposed algorithms are in good agreement with the theoretical solutions.

Modeling approach to evaluating reduction in stress intensity factor in center-cracked plate with piezoelectric actuator patches

2016 ◽  
Vol 28 (10) ◽  
pp. 1334-1345 ◽  
Author(s):  
Ahmed Abuzaid ◽  
Meftah Hrairi ◽  
MSI Shaik Dawood
Keyword(s):  
Stress Intensity Factor ◽  
Finite Element ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Piezoelectric Actuator ◽  
Piezoelectric Actuators ◽  
Mode I ◽  
Damage Propagation ◽  
Piezoelectric Patch ◽  
Cracked Structure

Active repairs using piezoelectric actuators can play a significant role in reducing the crack damage propagation in thin plate structures. Mode-I crack opening displacement is the most predominant one in tension, and it is responsible for the failure which in turn affects the load carrying capability of the cracked structure. In addition, there are limited studies that investigated the effect of the piezoelectric actuator over mode-I active repair. In this study, the mode-I stress intensity factor for a plate with a center crack, and a bonded piezoelectric actuator was modeled using the linear elastic fracture mechanics. For this, an analytical closed-form solution is developed using the virtual crack closure technique taking into account mode-I as the only effective mode, coupling effects of the piezoelectric patch, and the singular stress at the crack tip. In addition, the total stress intensity factor was obtained by the superposition of the stress intensity factor obtained from the stresses produced by the piezoelectric actuators on the crack surfaces as the only external loads on the cracked plate and the stress intensity factor due to the far-field tension load. The proposed analytical model for mode-I stress intensity factor was verified by a finite element–based approach using ANSYS finite element software. The results demonstrated a good agreement between the analytical and finite element models with a relative error of less than 4% in all the cases studied. The results illustrated that the piezoelectric patch is efficient in reducing stress intensity factor when an extension mode of the actuator is applied. However, applying a contraction mode of the piezoelectric actuators produced negative strain which increased the stress intensity factor and thus the severity of the cracked structure and could lead to damage propagation.

scholarly journals A Microfluidic Rotational Motor Driven by Circular Vibrations

Micromachines ◽  
2019 ◽  
Vol 10 (12) ◽  
pp. 809 ◽  
Author(s):  
Suzana Uran ◽  
Božidar Bratina ◽  
Riko Šafarič
Keyword(s):  
Theoretical Model ◽  
Piezoelectric Actuator ◽  
Rotational Speed ◽  
Water Droplet ◽  
Low Frequency ◽  
Piezoelectric Actuators ◽  
Frequency Region ◽  
Practical Application ◽  
3D Printed ◽  
Electro Wetting

Constructing micro-sized machines always involves the problem of how to bring the energy (electric, magnetic, light, electro wetting, vibrational, etc.) source to the device to produce mechanical movements. The paper presents a rotational micro-sized motor (the diameter of the rotor is 350 µm) driven by low frequency (200–700 Hz) circular vibrations, made by two piezoelectric actuators, through the medium of a water droplet with diameter of 1 mm (volume 3.6 µL). The theoretical model presents how to produce the circular streaming (rotation) of the liquid around an infinitely long pillar with micro-sized diameter. The practical application has been focused to make a time-stable circular stream of the medium around the finite long vibrated pillar with diameter of 80 µm in the presence of disturbances produced by the vibrated plate where the pillar is placed. Only the time-stable circular stream in the water droplet around the pillar produces enough energy to rotate the micro-sized rotor. The rotational speed of the rotor is controlled in both directions from −20 rad/s to +26 rad/s. 3D printed mechanical amplifiers of vibrations, driven by piezoelectric actuators, amplify the amplitude of the piezoelectric actuator up to 20 µm in the frequency region of 200 to 700 Hz.

Finite Element Analysis of Cantilever Beam for Optimal Placement of Piezoelectric Actuator

2011 ◽  
Vol 110-116 ◽  
pp. 4212-4219
Author(s):  
Abhay M. Khalatkar ◽  
Rakesh H. Haldkar ◽  
V.K. Gupta
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Cantilever Beam ◽  
Piezoelectric Actuator ◽  
Smart Structures ◽  
Piezoelectric Actuators ◽  
Small Scale ◽  
Cantilever Plate ◽  
Element Analysis ◽  
Plate Structure

There is increasing demand for developing smart structures in various electronic and electromechanical systems during past two decades. The modeling analyzing and manufacturing of these small-scale components remained always a challenging job. Finite element capability available in commercial software package ANSYS makes it convenient to perform modeling and analyzing of these smart structures. In this study a 3-D finite element analysis for cantilever plate structure excited by patches of piezoelectric actuator is presented. To investigate the influence of actuator location and configuration of piezoelectric actuators attached to the plate structure in order to identify the optimal configuration of the actuators for selective excitation of the mode shapes of the cantilever plate structure. The finite element modeling based on ANSYS package using modal analysis and harmonic analysis is used in this study for cantilever plate structure excited by patch type of piezoelectric actuators of PZT-5A at different locations of same geometrical parameters on the cantilever beam. The results clearly indicate optimal locations and configuration of the piezoelectric actuator patches for achieving the excitation of plate modes. Consequently, the results indicate that effective active damping of structural vibration of the cantilever plate can be achieved by proper positioning of the piezoelectric actuator patches.

scholarly journals Design of a Low-Frequency Harmonic Rotary Piezoelectric Actuator

Actuators ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 4
Author(s):  
Kang Liang ◽  
Chong Li ◽  
Yujian Tong ◽  
Jiwen Fang ◽  
Wei Zhong
Keyword(s):  
Piezoelectric Actuator ◽  
Harmonic Wave ◽  
Low Frequency ◽  
Experimental System ◽  
Piezoelectric Actuators ◽  
Driving Voltage ◽  
Driving Frequency ◽  
Output Characteristics ◽  
Driving Signal ◽  
Harmonic Displacement

Piezoelectric actuators usually operate under a high frequency driving signal. Here we report a harmonic rotating piezoelectric actuator by coupling a harmonic wave generator and a friction rotor, in which the actuator can be actuated by a low-frequency sinusoidal signal with positive bias. The harmonic wave is generated by a two-stage magnifying mechanism consisting of a displacement amplifier and a harmonic rod. Applying piezoelectricity theory, the actuator’s output characteristic equations are deduced. What is more, the output characteristics of piezoelectric actuators are tested with the established experimental system. Results show that the generated harmonic displacements can drive the actuator to work normally at a driving voltage of larger than 90 V and the maximum total harmonic displacement of the piezoelectric actuator comes up to 427.6 μm under the driving voltage of 150 V. Meanwhile, the error between the measured and calculated values of the harmonic displacement is less than 7%. Furthermore, the rotational speed of the piezoelectric actuator reaches 5.45 rpm/min at 150 V voltage and 5 Hz driving frequency.

scholarly journals Design and Fabrication of the Large Thrust Force Piezoelectric Actuator

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Shyang-Jye Chang ◽  
Jing Chen
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Piezoelectric Actuator ◽  
Vibration Mode ◽  
Thrust Force ◽  
Piezoelectric Actuators ◽  
Design Parameters ◽  
Analysis Software ◽  
Element Analysis ◽  
Length Width

This paper presents a novel piezoelectric actuator containing double pushers. By using finite element analysis software, this study simulated the vibration mode and amplitude of piezoelectric actuators. The Taguchi method was used to design the parameters of piezoelectric actuators including length, width, height, and electrodes setting. This paper also presents a discussion regarding the influence that the design parameters had on the actuator amplitudes. Based on optimal design parameters, a novel piezoelectric actuator containing double pushers is produced and some thrust tests are also carried out. From the experiment results, the piezoelectric actuator containing double pushers can provide a greater thrust force than that of traditional actuators containing a single pusher as the preload is greater. Comparing with the traditional actuators, the thrust force of new actuator can be increased by 48% with the double preload.

scholarly journals Simultaneous Piezoelectric Actuator and Sensor Placement Optimization and Control Design of Manipulators with Flexible Links Using SDRE Method

2010 ◽  
Vol 2010 ◽  
pp. 1-23 ◽  
Author(s):  
Alexandre Molter ◽  
Otávio A. Alves da Silveira ◽  
Jun S. Ono Fonseca ◽  
Valdecir Bottega
Keyword(s):  
Finite Element ◽  
Piezoelectric Actuator ◽  
Control Design ◽  
Piezoelectric Actuators ◽  
Mode Shapes ◽  
Nonlinear Feedback ◽  
Lagrange Equations ◽  
State Dependent ◽  
Optimization And Control ◽  
And Control

This paper presents a control design for flexible manipulators using piezoelectric actuators bonded on nonprismatic links. The dynamic model of the manipulator is obtained in a closed form through the Lagrange equations. Each link is discretized using finite element modal formulation based on Euler-Bernoulli beam theory. The control uses the motor torques and piezoelectric actuators for controlling vibrations. An optimization problem with genetic algorithm (GA) is formulated for the location and size of the piezoelectric actuator and sensor on the links. The natural frequencies and mode shapes are computed by the finite element method, and the irregular beam geometry is approximated by piecewise prismatic elements. The State-Dependent Riccati Equation (SDRE) technique is used to derive a suboptimal controller for a robot control problem. A state-dependent equation is solved at each new point obtained for the variables from the problem, along the trajectory to obtain a nonlinear feedback controller. Numerical tests verify the efficiency of the proposed optimization and control design.

scholarly journals An Improved Time Integration Method Based on Galerkin Weak Form with Controllable Numerical Dissipation

2021 ◽  
Vol 11 (4) ◽  
pp. 1932
Author(s):  
Weixuan Wang ◽  
Qinyan Xing ◽  
Qinghao Yang
Keyword(s):  
High Frequency ◽  
Integration Method ◽  
Time Integration ◽  
Low Frequency ◽  
Weak Form ◽  
High Accuracy ◽  
Numerical Dissipation ◽  
Frequency Range ◽  
Time Integration Method ◽  
Numerical Damping

Based on the newly proposed generalized Galerkin weak form (GGW) method, a two-step time integration method with controllable numerical dissipation is presented. In the first sub-step, the GGW method is used, and in the second sub-step, a new parameter is introduced by using the idea of a trapezoidal integral. According to the numerical analysis, it can be concluded that this method is unconditionally stable and its numerical damping is controllable with the change in introduced parameters. Compared with the GGW method, this two-step scheme avoids the fast numerical dissipation in a low-frequency range. To highlight the performance of the proposed method, some numerical problems are presented and illustrated which show that this method possesses superior accuracy, stability and efficiency compared with conventional trapezoidal rule, the Wilson method, and the Bathe method. High accuracy in a low-frequency range and controllable numerical dissipation in a high-frequency range are both the merits of the method.

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