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.

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 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.

scholarly journals Passive vibration control: a structure–immittance approach

2017 ◽  
Vol 473 (2201) ◽  
pp. 20170011 ◽  
Author(s):  
Sara Ying Zhang ◽  
Jason Zheng Jiang ◽  
Simon A. Neild
Keyword(s):  
Vibration Control ◽  
Vibration Suppression ◽  
Vibration Absorbers ◽  
Tuned Mass Dampers ◽  
Passive Vibration Control ◽  
New Approach ◽  
Advantages And Disadvantages ◽  
Parallel Networks ◽  
Element Type ◽  
Automotive Suspension

Linear passive vibration absorbers, such as tuned mass dampers, often contain springs, dampers and masses, although recently there has been a growing trend to employ or supplement the mass elements with inerters. When considering possible configurations with these elements broadly, two approaches are normally used: one structure-based and one immittance-based. Both approaches have their advantages and disadvantages. In this paper, a new approach is proposed: the structure–immittance approach. Using this approach, a full set of possible series–parallel networks with predetermined numbers of each element type can be represented by structural immittances, obtained via a proposed general formulation process. Using the structural immittances, both the ability to investigate a class of absorber possibilities together (advantage of the immittance-based approach), and the ability to control the complexity, topology and element values in resulting absorber configurations (advantages of the structure-based approach) are provided at the same time. The advantages of the proposed approach are demonstrated through two case studies on building vibration suppression and automotive suspension design, respectively.

VIBRATION CONTROL OF SLENDER STRUCTURES WITH OPTIMIZED LIQUID COLUMN VIBRATION ABSORBERS

2019 ◽  
Author(s):  
Jéssica Carolina Barbosa Vieira ◽  
Thiago da Silva ◽  
Carlos Alberto Bavastri
Keyword(s):  
Vibration Control ◽  
Liquid Column ◽  
Vibration Absorbers ◽  
Slender Structures
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