Journal ArticleDOI
Closed loop finite element modeling of active structural damping in the frequency domain
TLDR
In this article, a three-dimensional finite element model was developed for analyzing the response of active damping structures to steady state input in a closed loop, which indicated the significant and broad band attenuation capability of piezoelectric sensors and actuators.Abstract:
This is the first attempt at closed loop numerical simulation in the frequency domain using control theory and detailed finite element modeling of a smart structure with embedded piezoelectric sensors and actuators. A three-dimensional finite element model is developed for analysing the response of active damping structures to steady state input in a closed loop. Control authority resulting from charge or voltage as the active control force applied to the actuator are studied for the first two modes of vibration of a flexible beam. Comparison between constant velocity feedback control and constant displacement feedback control is also investigated. By applying an appropriate feedback control using the voltage generated by the piezoelectric sensor, substantial reduction of the resonance amplitude peaks of the cantilever beam is obtained. Numerical results are present which indicate the increase in damping as the feedback gain is increased. The results obtained clearly demonstrate the significant and broad band attenuation capability of piezoelectric sensors and actuators. A major advantage of active damping is to reduce the resonance peak without significantly altering the structural mass or stiffness.read more
Citations
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Journal ArticleDOI
Advances in piezoelectric finite element modeling of adaptive structural elements: a survey
TL;DR: In this paper, the advances and trends in the formulations and applications of the finite element modeling of adaptive structural elements are surveyed and discussed in a first attempt to survey and discuss the advances.
Journal ArticleDOI
Active vibration control of an elastic plate using multiple piezoelectric sensors and actuators
TL;DR: Different H2 control laws have been designed and compared by simulation, in order to evaluate the performance obtained using different combinations of sensors and actuators together with models taking into account an increasing number of structural eigenmodes.
Journal ArticleDOI
Smart materials and structures—a finite element approach—an addendum: a bibliography (1997–2002)
TL;DR: In this article, a bibliographical review of the finite element methods (FEMs) applied to the analysis and simulation of smart materials and structures is given, including smart materials, smart components/structures, smart sensors and actuators, and controlled structures technology.
Journal ArticleDOI
Dynamic stability analysis of finite element modeling of piezoelectric composite plates
TL;DR: In this paper, the dynamic stability of negative-velocity feedback control of piezoelectric composite plates using a finite element model is investigated, where the energy functional based on the derived general governing equations of motion with active damping is used to carry out the stability analysis.
Journal ArticleDOI
Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model
TL;DR: In this paper, a model reduction method and uncertainty modeling for the design of a low-order H∞ robust controller for suppression of smart panel vibration is presented, where a smart panel with collocated piezoceramic actuators and sensors is modeled using solid, transition and shell finite elements, and then the size of the model is reduced in the state space domain.
References
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Journal ArticleDOI
Use of piezoelectric actuators as elements of intelligent structures
Edward F. Crawley,Javier de Luis +1 more
TL;DR: In this paper, a scaling analysis is performed to demonstrate that the effectiveness of actuators is independent of the size of the structure and evaluate various piezoelectric materials based on their effectiveness in transmitting strain to the substructure.
Journal ArticleDOI
Reduction of stiffness and mass matrices
TL;DR: In this article, the authors proposed a method for reducing the size of the stiffness matrix by eliminating coordinates at which no forces are applied, based on the procedure used in Ref. 1 for stiffness matrix reduction.
Journal ArticleDOI
Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam
Thomas Bailey,James E. Hubbard +1 more
TL;DR: In this article, an active vibration damper for a cantilever beam was designed using a distributed-parameter actuator and distributedparameter control theory, and preliminary testing of the damper was performed on the first mode of the beam.
Journal ArticleDOI
Finite element method for piezoelectric vibration
Henno Allik,Thomas J. R. Hughes +1 more
TL;DR: In this paper, a finite element formulation which includes the piezoelectric or electroelastic effect is given, a strong analogy is exhibited between electric and elastic variables, and a stiffness finite element method is deduced.
Journal ArticleDOI
Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach
Horn-Sen Tzou,C.I. Tseng +1 more
TL;DR: In this paper, a new structure (shell or plate) containing an integrated distributed piezoelectric sensor and actuator is proposed, where the distributed sensing layer monitors the structural oscillation due to the direct PDE and the distributed actuator layer suppresses the oscillation via the converse PDE.
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