Panel Flutter Detection and Control Using the Eigenvector Orientation Method and Piezoelectric Layers

AIAA Journal ◽  
2007 ◽  
Vol 45 (1) ◽  
pp. 118-127 ◽  
Author(s):  
Nebojsa Sebastijanovic ◽  
Tianwei Ma ◽  
Henry T. Y. Yang
Keyword(s):  
Panel Flutter ◽  
Piezoelectric Layers ◽  
Orientation Method ◽  
And Control

Structural Modeling and Dynamic Analysis of a Piezoelectric Forceps Actuator

2008 ◽  
Author(s):  
Ken Susanto ◽  
Bingen Yang
Keyword(s):  
Feedback Control ◽  
Dynamic Analysis ◽  
Transfer Functions ◽  
Structural Modeling ◽  
Open Loop ◽  
Curved Beam ◽  
Control Logic ◽  
Non Invasive ◽  
Piezoelectric Layers ◽  
And Control

A piezoelectric forceps actuator (PFA) is recently invented for potential use in minimum invasive and non-invasive surgery and diagnosis, and other biomedical applications. This paper is concerned with structural modeling, dynamic analysis, and feedback control of such an actuator. The PFA is modeled as a composite curved beam with laminated piezoelectric layers. The exact open-loop and closed-loop transfer functions of the PFA control system consisting of the curved beam, sensor, actuator and control logic are obtained in exact and closed form without discretization. With the transfer function formulation, the natural frequencies and frequency response of the actuator are then predicted and a simple feedback control law is implemented. The theoretical model of the actuator is validated in experiments.

Nonlinear Piezothermoelasticity and Multi-Field Actuations, Part 2: Control of Nonlinear Deflection, Buckling and Dynamics

1997 ◽  
Vol 119 (3) ◽  
pp. 382-389 ◽  
Author(s):  
H. S. Tzou ◽  
Y. H. Zhou
Keyword(s):  
Circular Plate ◽  
Geometrical Nonlinearity ◽  
Nonlinear Effects ◽  
Thermal Buckling ◽  
Control Effect ◽  
Control Moment ◽  
Piezoelectric Layers ◽  
Equivalent Control ◽  
High Control ◽  
And Control

Linear dynamics and distributed control of piezoelectric laminated continua have been intensively investigated in recent years. In this study, dynamics, electromechanical couplings, and control of thermal buckling of a nonlinear piezoelectric laminated circular plate with an initial large deformation are investigated. It is assumed that the transverse nonlinear component is much more prominent than the other two in-plane components—the von Karman type geometrical nonlinearity. In addition, the piezoelectric layers are uniformly distributed on the top and bottom surfaces of the circular plate. Accordingly, the control effect is introduced via an equivalent control moment on the circumference. Dynamic equations and boundary conditions including the elastic and piezoelectric couplings are formulated, and solutions are derived. Active control of plate’s nonlinear deflections, thermal buckling, and natural frequencies using high control voltages are studied, and their nonlinear effects are evaluated.

An eigenvector orientation approach for detection and control of panel flutter

2005 ◽  
Author(s):  
Nebojsa Sebastijanovic ◽  
Tianwei Ma ◽  
Anthony DiCarlo ◽  
Henry T. Y. Yang
Keyword(s):  
Panel Flutter ◽  
And Control

Forced Vibration Analysis of FG-Graphene Platelet Reinforced Polymer Composite Shells Bonded With Piezoelectric Layers Considering Electroelastic Nonlinearities

2018 ◽  
Author(s):  
M. N. Rao ◽  
R. Schmidt ◽  
K.-U. Schröder
Keyword(s):  
Polymer Composites ◽  
Forced Vibration ◽  
Composite Shell ◽  
Constitutive Relations ◽  
Weight Fraction ◽  
Shell Structures ◽  
Control Analysis ◽  
Composite Shells ◽  
Piezoelectric Layers ◽  
And Control

In the present article, we focus on the forced vibration and control analysis of functionally graded (FG) graphene-polymer composites bonded with piezoelectric layers considering strong electric fields. Different non-uniform gradient distributions of graphene platelets (GPLs) are assumed through the thickness direction. The Modified Halpin-Tsai micromechanics model is used to obtain the effective material properties of GPL/polymer composites. Electromechanical coupling of piezoelectric layers is described by two rotationally invariant non-linear constitutive relations. A four-node shell element considering transverse shear effect based on the Reissner-Mindlins hypothesis has been developed for forced vibration and control analysis of smart FG-GPL/composites using the principle of virtual work considering nonlinear material law for the piezoelectric layers. The developed element is verified and compared with the numerical results those available in the literature. Different configurations of FG-GPL composite shells have been analysed and discussed to compare in terms of settling time, first resonance frequency and absolute amplitude corresponding to first resonant frequency by carrying out time and frequency response analysis, and the effects of weight fraction of GPLs on vibration response of such shell structures are also discussed. The influence of electromechanical nonlinear constitutive relations is also presented and discussed by performing active control analysis on different FG-GPL composite shell structures. Moreover, the results show that the GPL distribution and weight-fraction of GPLs have a significant effect on the vibration and damping characteristics of the FG-GPL composite shell structures.

Nonlinear Vibration and Control of Piezoelectric Laminates

2009 ◽  
Author(s):  
Li-hua Chen ◽  
Chang-Liang Liu ◽  
Wei Zhang ◽  
Jin-hong Fan
Keyword(s):  
Differential Equations ◽  
Rectangular Plate ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
Chaotic Motions ◽  
Nonlinear Dynamic Equations ◽  
Control Gain ◽  
Piezoelectric Layers ◽  
Nonlinear Relation ◽  
And Control

In this paper, the dynamic behavior of piezoelectric laminates is investigated. Thin piezoelectric layers are assumed to be embedded on the top and the bottom surfaces of the rectangular plate. The top and the bottom layers are taken as the actuator and sensor, respectively. Based on Von Karman theory, the geometrically nonlinear relation between strain and displacement is proposed and basic large deformation equations are established. Nonlinear dynamic equations of piezoelectric laminates are formulated using Hamilton’s principle. The Galerkin’s approach is applied to partial differential equations to obtain the ordinary differential equations. The numerical results show the existence of periodic, bifurcation and chaotic motions for the laminated piezoelectric rectangular plate with the changes of frequency and amplitude of forcing loads. Furthermore we can control the vibration of the piezoelectric laminates using a constant gain velocity minus control algorithm. Using the control gain, the free vibration of the plate is damped out more quickly, and the nonlinear dynamic behavior varies from the system without control. Finally, a numerical simulation example shows that the method suggested in this paper is effective and simply.

Nonlinear Dynamic Analysis and Control of FG Cylindrical Shell Fitted with Piezoelectric Layers

2021 ◽  
pp. 2150083
Author(s):  
Aliakbar Bayat ◽  
Amir Jalali ◽  
Habib Ahmadi
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Vibration Control ◽  
Power Index ◽  
Cylindrical Shells ◽  
Excitation Frequency ◽  
Shear Deformation Theory ◽  
Phase Portraits ◽  
Piezoelectric Layers ◽  
And Control

In this study, the nonlinear vibration control of functionally graded laminated piezoelectric cylindrical shells under simultaneous parametric axial and radial external excitations is presented. The partial differential equations of shells are derived based on Hamilton’s principle, first-order shear deformation theory (FSDT), and nonlinear von Karman relations. The coupled nonlinear ordinary differential equations are obtained by Galerkin’s procedure and solved by the method of static condensation. Two piezoelectric layers are placed on the outer and inner surfaces of the cylindrical shell each as distributed sensor and actuator. Then the constant-gain negative velocity feedback strategy is employed. Regarding the nonlinear equations of motion, for the first time, the vibration analysis and active vibration control of smart FG cylindrical shells under combined parametric and external excitations are analyzed using the multiple scales approach. The effects of various parameters such as power index, external excitation’s amplitude, and control gain on the dynamic behavior of the system are investigated, using bifurcation diagrams, phase portraits, time histories, and Poincare maps. It is shown that quasi-periodic motion is the most common behavior of the system and controller gain and power index have inevitable effects on enhancing the quasi-periodic response of the system. Care should be exerted in selecting the parameters to have the desired response in the broad range of excitation frequency.

Distributed Modal Identification and Vibration Control of Continua: Theory and Applications

1991 ◽  
Vol 113 (3) ◽  
pp. 494-499 ◽  
Author(s):  
H. S. Tzou
Keyword(s):  
Vibration Control ◽  
Reference Signal ◽  
Modal Identification ◽  
State Equations ◽  
Oscillation System ◽  
Distributed Sensor ◽  
Piezoelectric Layers ◽  
Generic Theory ◽  
And Control ◽  
Distributed Actuator

Conventional transducers and actuators are “discrete” in nature, i.e., they usually measure and control spatially discrete locations. These discrete devices become useless when they are placed at modal nodes or lines. In this paper, a generic “distributed” modal identification and vibration control theory for sensing and control of continua, e.g., shells, plates, cylinders, beams, etc., is proposed. The generic theory is derived for a thin shell coupled with two electroded piezoelectric layers. One piezoelectric layer serves as a distributed sensor and the other a distributed actuator. The sensor output, or a reference signal, is processed, amplified, and fed back into the distributed actuator. Due to the converse effect, the injected high voltage induces in-plane strains which result in counteracting moments used to suppress the shell oscillation. System dynamic equations and state equations are also derived. The theory shows that the distributed sensor can identify all vibration modes and the distributed actuators also control all modes. Simplification of the generic theory to other geometries is also demonstrated.

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