Optimal Placement of PZT Transducers for Passive Vibration Control of Planar Composite Structures

Aerospace ◽  
2003 ◽  
Author(s):  
Suresh V. Venna ◽  
Y. J. Lin
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
Modal Analysis ◽  
Electric Potential ◽  
Composite Structures ◽  
Composite Plate ◽  
Optimal Placement ◽  
Vibration Absorber ◽  
Passive Vibration Control ◽  
Piezoelectric Vibration

In this paper, an attempt is made to determine the electric potential that would be generated in the piezoelectric vibration absorber using finite element piezoelectric analysis to determine optimal location for damping of first mode. Optimal placement of piezoelectric vibration absorber for passive vibration control of a cantilever composite plate is investigated. Finite element piezoelectric modal analysis is performed. Models based on placing piezoelectric vibration absorbers at five different locations on the surface of the plate and incorporating piezoelectric properties are built. Modal analysis is used to find the electric potential developed in the piezoelectric vibration absorber. The location that yields the highest amount of electric potential would be the best location for the vibration absorber. First bending mode of the cantilever composite plate is aimed for damping. Results of the analysis are verified with an experimental testing of the composite plate with piezoelectric vibration absorber firmly attached to the plate. A good agreement is found between the analytical and experimental results. Further, a resistive shunt circuit is designed for the passive damping of the first mode and attached to the vibration absorber in which the electric potential developed would be dissipated as heat to obtain passive vibration compensation. The experiment also demonstrates that a damping of 6 percent is obtained in the first mode and a great amount of damping is achieved in the second and third modes too.

A novel method for piezoelectric transducers placement for passive vibration control of geometrically non‐linear structures

Sensor Review ◽  
2008 ◽  
Vol 28 (3) ◽  
pp. 233-241 ◽  
Author(s):  
Y‐J. Lin ◽  
Suresh V. Venna
Keyword(s):  
Vibration Control ◽  
Electric Potential ◽  
Vibration Suppression ◽  
Piezoelectric Transducers ◽  
Passive Vibration Control ◽  
Content Type ◽  
Electric Potentials ◽  
Actuator Placement ◽  
Piezoelectric Vibration

PurposeThe purpose of this paper is to propose an effective and novel methodology to determine optimal location of piezoelectric transducers for passive vibration control of geometrically complicated structures and shells with various curvatures. An industry‐standard aircraft leading‐edge structure is considered for the actuator placement analysis and experimental verification.Design/methodology/approachThe proposed method is based on finite element analysis of the underlying structure having a thin layer of piezoelectric elements covering the entire inner surface with pertinent boundary conditions. All the piezoelectric properties are incorporated into the elements. Specifically, modal piezoelectric analysis is performed to provide computed tomography for the evaluations of the electric potential distributions on these piezoelectric elements attributed by the first bending and torsional modes of structural vibration. Then, the outstanding zone(s) yielding highest amount of electric potentials can be identified as the target location for the best actuator placement.FindingsSix piezoelectric vibration absorbers are determined to be placed alongside both of the fixed edges. An experimental verification of the aluminum leading edge's vibration suppression using the proposed method is conducted exploiting two resistive shunt circuits for the passive damping. A good agreement is obtained between the analytical and experimental results. In particular, vibration suppression around 30 and 25 per cent and Q‐factor reduction up to 15 and 10 per cent are obtained in the designated bending and torsional modes, respectively. In addition, some amount of damping improvement is observed at higher modes of vibration as well.Research limitations/implicationsThe frequency in the proposed approach will be increased slowly and gradually from 0 to 500 Hz. When the frequency matches the natural frequency of the structure, owing to the resonant condition the plate will vibrate heavily. The vibrations of the plate can be observed by connecting a sensor to an oscilloscope. Owing to the use of only one sensor, not all the modes can be detected. Only the first few modes can be picked up by the sensor, because of its location.Practical implicationsThis method can also be used in optimizing not only the location but also the size and shape of the passive vibration absorber to attain maximum amount of damping. This can be achieved by simply changing the dimensions and shape of the piezoelectric vibration absorber in the finite element model on an iterative basis to find the configuration that gives maximum electric potential.Originality/valueThe determination of optimal location(s) for piezoelectric transducers is very complicated and difficult if the geometry of structures is curved or irregular. Therefore, it has never been reported in the literature. Here an efficient FEA‐based electric potential tomography method is proposed to identify the optimized locations for the PZT transducers for passive vibration control of geometrically complicated structures, with minimal efforts. In addition, this method will facilitate the determination of electric potentials that would be obtained at all the possible locations for piezoelectric transducers and hence makes it possible to optimize the placement and configurations of the candidate transducers on complex shape structures.

Optimal Placement of Piezoelectric Transducers for Passive Vibration Control of Geometrically Non-Linear Structures

Aerospace ◽  
2004 ◽  
Author(s):  
Suresh V. Venna ◽  
Y. J. Lin
Keyword(s):  
Vibration Control ◽  
Experimental Verification ◽  
Electric Potential ◽  
Leading Edge ◽  
Piezoelectric Transducers ◽  
Vibration Absorbers ◽  
Passive Vibration Control ◽  
Edge Structure ◽  
Piezoelectric Elements ◽  
Piezoelectric Vibration

In this paper, an attempt is made to determine optimal location of piezoelectric transducers for passive vibration control of geometrically complicated structures and shells with non-linear curvatures. Industry-standard aircraft leading edge structure is considered for the analysis and experimental verification. Finite element model of the leading edge structure consisting of a thin layer of piezoelectric elements on the inner surface of the leading edge covering the whole surface is built and appropriate boundary conditions are applied. All the piezoelectric properties are incorporated into the elements. Modal piezoelectric analysis is performed to investigate the electric potential developed in the piezoelectric elements in the first bending and torsion modes. Location of the piezoelectric elements yielding highest amount of electric potential is identified as the best location for vibration absorption. Based on the analysis results, six piezoelectric vibration absorbers are determined to be used for performing the passive vibration control of the two modes. Results of the analysis are verified with an experimental testing of the aluminum leading edge with piezoelectric vibration absorbers firmly attached to it. A good agreement is found between the analytical and experimental results. Further, two resistive shunt circuits are designed for the passive damping of the first bending and torsion modes in which the electric potential developed would be dissipated as heat to obtain passive vibration compensation. Experimental verification of the passive damping is performed at these two modes with appropriate shunt circuits affixed to the piezoelectric vibration absorbers. Amplitude reduction around 30% and 25% and Q-factor reduction up to 15% and 10% are obtained in the bending and torsion modes, respectively. In addition, some amount of damping is observed at higher modes as well.

Passive vibration control of plate structures using shape memory alloy ribbons

2016 ◽  
Vol 23 (1) ◽  
pp. 69-88 ◽  
Author(s):  
M Bodaghi ◽  
M Shakeri ◽  
MM Aghdam
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Vibration Control ◽  
Composite Structures ◽  
Shear Deformation Theory ◽  
Dynamic Loads ◽  
Niti Shape Memory Alloy ◽  
Shear Stresses ◽  
Governing Equations ◽  
Passive Vibration Control

Problems associated with the modeling and vibration control of rectangular plates under dynamic loads with integrated polycrystalline NiTi shape memory alloy (SMA) ribbons are developed. In order to simulate the thermo-mechanical behavior of SMA ribbons under dominant axial and transverse shear stresses, a robust macroscopic constitutive model is introduced. The model is able to accurately predict martensite transformation/orientation, shape memory effect, pseudo-elasticity and in particular reorientation of martensite variants and ferro-elasticity features. The structural model is based on the adoption of the first-order shear deformation theory and on the geometrical non-linearity in the von Kármán sense. Towards obtaining the governing equations of motion, the Hamilton principle is used. Finite element and Newmark methods along with an iterative incremental process based on the elastic-predictor inelastic-corrector return mapping algorithm are implemented to solve the non-linear governing equations in spatial and time domains. Numerical simulations highlighting the implications of pre-strain state and temperature of the SMA ribbons, as well as those related to the respective dynamic loads, are presented and discussed in detail. It is found that the modeling of ferro-elasticity in the dynamic analysis of SMA composite structures could lead to significant conclusions concerning the passive vibration control capability of low-temperature SMA ribbons.

Design of an Almost Critically-Damped Single Robot Arm

1991 ◽  
Author(s):  
Mohamed K. Abdelhamid ◽  
Kuan-Yuh Ko
Keyword(s):  
Vibration Control ◽  
Equilibrium Position ◽  
Design Method ◽  
Settling Time ◽  
Vibration Absorber ◽  
Robot Arm ◽  
Passive Vibration Control ◽  
Robot Arms ◽  
Vibration Problems ◽  
Simulation Results

Abstract Modern, fast, and light robot arms are more susceptible to vibration problems than the old, slow, and massive robot arms. Passive vibration control using damping and dynamic absorbers may be used to decrease the settling time of the robot arm after it has been driven to its desired position. Implementation of an optimally damped vibration absorber has been recently investigated and results showed success in shortening the settling time of a single robot arm. This paper realizes that a critically damped structure is the fastest structure to settle in its static equilibrium position. This paper, thus, uses recent results on damping ratios of multi-degree-of-freedom systems to provide a design scheme that uses both a damped vibration absorber and distributed damping (such as a damping layer) with the robot arm to realize an almost critically damped design. Simulation results show that the new design method results a single arm link design that is faster to settle than the previously published designs.

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