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.

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.

Control of Static Shape, Dynamic Oscillation, and Thermally Induced Vibration of Nozzles

2005 ◽  
Vol 128 (3) ◽  
pp. 357-363 ◽  
Author(s):  
D. W. Wang ◽  
H. S. Tzou ◽  
S. M. Arnold ◽  
H.-J. Lee
Keyword(s):  
Finite Element ◽  
Conical Shell ◽  
Shape Control ◽  
Numerical Data ◽  
Analysis Data ◽  
Mode Shapes ◽  
Thermal Excitation ◽  
Thermally Induced ◽  
Control Effectiveness ◽  
And Control

Static shape actuation and dynamic control of nozzles can improve their performance, accuracy, reliability, etc. A new curved laminated piezothermoelastic hexahedral finite element is formulated based on the layerwise constant shear angle theory and it is used for modeling and analysis of piezothermoelastic conical shell structures subjected to control voltages for static shape actuation and dynamically and thermally induced vibration controls. Free vibration characteristics of an elastic truncated conical shell nozzle with fixed-free boundary conditions are studied using the new finite element. Both frequencies and mode shapes are accurately computed and compared favorably with available experimental and other numerical data. This study is then extended to evaluate control effectiveness of the conical shell with laminated piezoelectric layers. Static shape control is achieved by an applied electric potential. Vibration sensing and control are carried out using the negative velocity control scheme. Control of thermal excitation is also investigated. Analysis data suggest that the dynamic behavior and control characteristics of conical shells are quite complicated due to the coupled membrane and bending effects participating in the responses. To improve control effectiveness, segmentation and/or shaping of sensor and actuator layers need to be further investigated.

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.

Operator-based experimental studies on nonlinear vibration control for an aircraft vertical tail with considering low-order modes

2016 ◽  
Vol 38 (12) ◽  
pp. 1421-1433 ◽  
Author(s):  
Yuta Katsurayama ◽  
Mingcong Deng ◽  
Changan Jiang
Keyword(s):  
Vibration Control ◽  
Experimental Studies ◽  
Control Design ◽  
Piezoelectric Actuators ◽  
Nonlinear Feedback ◽  
Coprime Factorization ◽  
Hysteresis Nonlinearity ◽  
Control Scheme ◽  
Piezoelectric Elements ◽  
Low Order

In this paper, a robust nonlinear control design using an operator-based robust right coprime factorization approach is considered for vibration control on an aircraft vertical tail with piezoelectric elements. First, a model of the aircraft vertical tail is derived to describe vibration response using the operator-based approach, where, to stabilize vibration of the tail, piezoelectric elements are used as actuators and a hysteresis nonlinear property of piezoelectric actuators is considered. Simultaneously, positions of the piezoelectric actuators that are stuck on the plate are arranged by using a finite element method. Then based on the obtained operator-based model, a robust nonlinear feedback control design is given by using robust right coprime factorization for the aircraft vertical tail with considering the effect of hysteresis nonlinearity from piezoelectric actuators. In particular, low-order modes are employed to design the control scheme even though vibration is configured by high-order modes. In other words, robustness is considered, and the desired performance of tracking is discussed. Finally, both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.

scholarly journals Topology Optimization and Control Design of an Artificial Respirator

2021 ◽  
Author(s):  
K. Mosquera-Cordero ◽  
M. Amaya-Pinos ◽  
L. Calle-Arevalo ◽  
J. Zambrano-Abad ◽  
M. Carpio-Aleman
Keyword(s):  
Topology Optimization ◽  
Control Design ◽  
Optimization And Control ◽  
And Control ◽  
Artificial Respirator

scholarly journals Dynamical Analysis and Stabilizing Control of Inclined Rotational Translational Actuator Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Bingtuan Gao ◽  
Fei Ye
Keyword(s):  
Control Design ◽  
Dynamical Analysis ◽  
Lagrange Equations ◽  
Control Lyapunov Function ◽  
Stabilizing Controller ◽  
Control Techniques ◽  
Stabilizing Control ◽  
Rotor Angle ◽  
General Force ◽  
And Control

Rotational translational actuator (RTAC) system, whose motions occur in horizontal planes, is a benchmark for studying of control techniques. This paper presents dynamical analysis and stabilizing control design for the RTAC system on a slope. Based on Lagrange equations, dynamics of the inclined RTAC system is achieved by selecting cart position and rotor angle as the general coordinates and torque acting on the rotor as general force. The analysis of equilibriums and their controllability yields that controllability of equilibriums depends on inclining direction of the inclined RTAC system. To stabilize the system to its controllable equilibriums, a proper control Lyapunov function including system energy, which is used to show the passivity property of the system, is designed. Consequently, a stabilizing controller is achieved directly based on the second Lyapunov stability theorem. Finally, numerical simulations are performed to verify the correctness and feasibility of our dynamical analysis and control design.

FEM Analysis of a Diesel Engine’s Cylinder Head

2012 ◽  
Vol 490-495 ◽  
pp. 3023-3026
Author(s):  
Shao Zhong Jiang
Keyword(s):  
Finite Element ◽  
Modal Analysis ◽  
Cylinder Head ◽  
High Speed ◽  
Structural Characteristics ◽  
Fem Analysis ◽  
Mode Shapes ◽  
Element Analysis ◽  
Frequency Distributions ◽  
And Control

The article aims at the cylinder head used in a high speed and higher-power diesel engine. In order to obtain the vibration characteristics and vibration frequency distributions. By means of modal analysis technology and finite element method (FEM), structural characteristics of the cylinder head using modal analysis is investigated. Firstly, a physical model of the cylinder head is built. Through the comparison of all the modal analysis results with different meshing densities, a tetrahedron ten-node element with length of 30mm is selected. Then finite element analysis of the model is taken by FEM software. The cylinder head’s modal parameters namely its natural frequency are calculated and its mode shapes are identified. The results can provide basis for the engine’s dynamic analysis and control of the diesel engine’s noise

Modeling and Control with Hysteresis of Piezoelectric Smart Materials Actuators

2013 ◽  
Vol 397-400 ◽  
pp. 1426-1429
Author(s):  
Yan Mei Liu ◽  
Zhen Chen ◽  
Xue Zheng Zhuang ◽  
Zhao Hui Liu
Keyword(s):  
Piezoelectric Actuator ◽  
Smart Materials ◽  
Piezoelectric Actuators ◽  
Recursive Identification ◽  
Uniform Density ◽  
Sensors And Actuators ◽  
Modeling And Control ◽  
Preisach Operator ◽  
Effective Use ◽  
And Control

Hysteresis hinders the effective use of piezoelectric smart materials in sensors and actuators. This paper proposes a hybrid model that can precisely portray hysteresis in piezoelectric actuators, which is constructed by a preisach operator with a piecewise uniform density function. Then, the corresponding inverse model for hysteresis is developed. It studies online recursive identification of hysteresis drift. Based on the obtained models, a method for simultaneous compensation of the hysteresis of piezoelectric actuator is applied to the control of system nonlinearities. Simulation and experimental results based on an IPMC actuator are provided to illustrate the proposed approach. The result verified the validity of the model and effectiveness of the controller.

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.

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