Modeling Of Piezolaminated Composite Shells For Vibration Control (original) (raw)
Related papers
Vibration Control Simulation of Laminated Composite Plates with Integrated Piezoelectrics
Journal of Sound and Vibration, 1999
A finite element formulation is presented to model the dynamic as well as static response of laminated composite plates containing integrated piezoelectric sensors and actuators subjected to both mechanical and electrical loadings. The formulation is based on the classical laminated plate theory and Hamilton's principle. In this formulation, the mass and stiffness of the piezo-layers have been taken into account. A four-node non-conforming rectangular plate bending element is implemented for the analysis. A simple negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects is used to actively control the dynamic response of an integrated structure through a closed control loop. The model is validated by comparison with existing results documented in the literature. Several numerical examples are presented. The influence of stacking sequence and position of sensors/actuators on the response of the plate is evaluated.
Finite element modeling of piezoelectric structures
The design of control systems involving piezoelectric actuators and sensors requires an accurate knowledge of the transfer functions between the inputs and the outputs of the system. These are not easy to determine numerically, particularly for shell structures with embedded distributed actuators and sensors. The situation where they are nearly collocated is particularly critical, because the zeros of the transfer functions are dominated by local effects which can only be accounted for by finite elements. This paper presents a general finite element formulation for piezoelectrically coupled systems. Piezoelectric finite elements were developed based on Mindlin shell elements and integrated in the FE package Samcef. Volume elements have also been derived and integrated. Volume finite element and shell finite element solutions are compared for the bimorph device. A shear actuation device is modelized. The interfacing with a control oriented software environment is discussed and non-trivial applications in noise and vibration control are presented.
Smart Materials and Structures, 1997
In order to reduce the vibrational level of lightweight composite structures, active vibration control methods have been applied both numerically and experimentally. Using the classical laminated beam theory and Ritz method, an analytical model of the laminated composite beam with piezoelectric sensors and actuators has been developed. Smart composite beams and plates with surface-bonded piezoelectric sensors and actuators were manufactured and tested. It is found that the developed analytical model predicts the dynamic characteristics of smart composite plates very well. Utilizing a linear quadratic Gaussian (LQG) control algorithm as well as well known classical control methods, a feedback control system was designed and implemented. A personal computer (PC) was used as a controller with an analogue-digital conversion card. For a cantilevered beam the first and second bending modes are successfully controlled, and for cantilevered plates the simultaneous control of the bending and twisting modes gives a significant reduction in the vibration level. LQG has shown advantages in robustness to noise and control efficiency compared with classical control methods. In this study examples of control spillover are demonstrated via the instantaneous power spectrum of the sensor output.
Analysis of Piezoelectric Actuator for Vibration Control of Composite plate
ICDMM , 2017
Vibration analysis is studied numerically in this paper for a simply supported composite plate subjected to external loadings. Vibrations are controlled by using piezoelectric patches. Finite element method (ANSYS) is used for obtaining finite element model of the smart plate structure, a layered composite plate is manufactured experimentally and tested to obtain the structure mechanical properties. Different piezoelectric patch areas and different applied gain voltage effects on vibration attenuation is studied. The numerical solution is compared with the experimental work, a good agreement achieved.
Active vibration control structures using piezoelectric materials: A review
The purpose of this study is to focus on the application of piezoelectric material to control the vibration of the structures. Piezoceramics are low cost, light weight and easy to implement materials which can be applied to minimize the amplitude of structural vibration. The basic principle of piezoelectric actuation is also discussed in this study. Piezoceramics are applied as sensor or actuators or in both form of sensor and actuators by different authors. It is available in various forms such as rigid patch, flexible patch, stack etc. In this study an attempt has been taken to discuss the application of various form of piezoceramics for active control of structural vibration.
Core and patch position optimizations for vibration control of piezolaminated structures
2005
This paper deals with a finite element formulation based on the classical laminated plate theory, for active control of thin plate laminated structures with integrated piezoelectric layers, acting as sensors and actuators. The control is initialized through a previous optimization of the core of the laminated structure, in order to minimize the vibration amplitude. Also the optimization of the patches position is performed to maximize the piezoelectric actuator efficiency. The simulating annealing method is used for these purposes. The finite element model is a single layer triangular nonconforming plate/shell element with 18 degrees of freedom for the generalized displacements, and one electrical potential degree of freedom for each piezoelectric element layer, which can be surface bonded or imbedded on the laminate. To achieve a mechanism of active control of the structure dynamic response, a feedback control algorithm is used, coupling the sensor and active piezoelectric layers. To calculate the dynamic response of the laminated structures the Newmark method is considered. The model is applied in the solution of an illustrative case and the results are presented and discussed.
Materials & Design, 2002
The interaction between active and passive vibration control characteristics was investigated numerically and verified experimentally for carbonrepoxy laminated composite beams with a collocated piezoceramic sensor and actuator. The finite element method was used for the analysis of dynamic characteristics of the laminated composite beams. Damping and stiffness of adhesive and piezoceramic layers were taken into account in the finite element modeling. The optimal control theory was applied for the analysis of control characteristics of the beam. Experiments on the active vibration control of the laminated composite beams were carried out using velocity feedback control. The effect of varying the stacking sequence of the laminated composite beam on the active and passive damping properties was studied. The finite element analysis was verified by comparing the Ž . Ž . experimental results in terms of active and passive damping ratios and modal dampings 2 as well as fundamental frequency. When the gain in velocity feedback control is small, the active control follows the trend of the passive control, but provides additional effects due to the active control. For a large feedback gain, the active control is dominant over the passive control. Active control is more effective in the structure with higher bending stiffness than in the structure with lower bending stiffness when the feedback gain is large. ᮊ
On models of layered piezoelectric beams for passive vibration control
Journal De Physique Iv, 2004
In this paper models of layered piezoelectric beams are discussed. The attention is focused on the analysis of the assumptions on transversal stress and strain distribution and their influence on the deduction of the beam constitutive equations from a three dimensional description. A model accounting for non trivial transversal interactions between different layers is deduced from a mixed variational formulation where non-local conditions on transversal stress are enforced by Lagrange multipliers method. The fully coupled electromechanical nature of the system is described. For a sandwich piezoelectric beam, analytical expressions of the beam constitutive coefficients are provided and comparisons to standard modelling approaches are presented. Finally, the fundamental features of the proposed model are highlighted by presenting the through-the-thickness distribution of the 3D state fields.
2021
In this paper, the nonlinear vibration control of the piezoelectric laminated cylindrical shell with point supported elastic boundary condition is analyzed, in which the geometric nonlinearity is considered by the first-order shear nonlinear shell theory. In the model, different boundary conditions are simulated by introducing a series of artificial springs. The elastic-electrically coupled differential equations of piezoelectric laminated cylindrical shells are obtained based on the Chebyshev polynomials and Lagrange equation, and decoupled by using the negative velocity feedback adjustment. Later, the Incremental Harmonic Balance Method (IHBM) is deduced, and the frequency-amplitude response of the piezoelectric laminated cylindrical shell is obtained by IHBM. Finally, the influence of the constant gain, size and position of the piezoelectric layer on frequency-amplitude response are investigated. The results show that the position, size and constant gain of the piezoelectric laye...