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Journal ArticleDOI

Vibroacoustic response and active control of a fluid-filled functionally graded piezoelectric material composite cylinder

TL;DR: In this paper, the linear three-dimensional piezoelasticity theory in conjunction with the versatile transfer matrix approach is employed to investigate the steady-state nonaxisymmetric fluid-structure-coupled vibrations of an arbitrarily thick bilaminate simply supported hollow cylinder of finite length, composed of an inner layer of orthotropic functionally graded material perfectly bonded to an outer layer of radially/axially/circumferentially polarized functionally graded piezoceramic material.
Abstract: The linear three-dimensional piezoelasticity theory in conjunction with the versatile transfer matrix approach is employed to investigate the steady-state nonaxisymmetric fluid–structure-coupled vibrations of an arbitrarily thick bilaminate simply supported hollow cylinder of finite length, composed of an inner layer of orthotropic functionally graded material perfectly bonded to an outer layer of radially/axially/circumferentially polarized functionally graded piezoceramic material. The cylinder is filled with a compressible nonviscous fluid and may be subjected to arbitrary time-harmonic on-surface mechanical drives. The analytical results are illustrated with numerical examples in which water-filled homogeneous PZT4–steel composite cylinders are driven by harmonic external concentrated or distributed radial surface loads. When the outer piezoelectric layer is operating in the receiving (sensing) mode, the frequency spectrums of the induced voltage, stress components, and on-axis acoustic pressure are c...
Citations
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Journal ArticleDOI
TL;DR: In this article, the authors reviewed most of the researches done in recent years (2005-2015) on FGM cylindrical structures with an emphasis on coupled mechanics, including thermo-elastic coupling, multi-physic fields coupling, structure-foundation coupling and fluid-solid coupling.

102 citations

Journal ArticleDOI
TL;DR: In this article, the effects of both partial and complete nanotube agglomerations on the effective elastic properties and wave dynamics are examined within various axial and circumferential wave numbers for different wave modes by solving an eigenvalue problem.
Abstract: Dynamics of wave propagation in carbon nanotube (CNT)-reinforced piezocomposite cylindrical shells affected by nanotube agglomeration is investigated in this study for the first time by developing an analytical approach incorporating existing theories and models. The Mori-Tanaka micromechanics model in combination of the first-order shear deformation shell theory and wave propagation solution are employed to determine wave propagation characteristics of piezocomposite cylindrical shells reinforced with agglomerated CNTs. The effects of both partial and complete nanotube agglomerations on the effective elastic properties and wave dynamics are examined within various axial and circumferential wave numbers for different wave modes by solving an eigenvalue problem. It is found that nanotube agglomeration leads to the reduction of wave phase velocity as a result of decrease in the effective elastic properties. The developed methodology in this study can be used for analysis of the data of structural health monitoring by the non-destructive testing (NDT) in estimating the degree of nanotube agglomeration in nanocomposites.

34 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of the piezoelectricity and its polarization on the wave dispersion behavior in different composites are studied for the first time, and the results can be used for solving a wave propagation problem in smart composite shell structures for dynamic stability evaluation and health monitoring.

33 citations

Journal ArticleDOI
TL;DR: The results prove that the considered methodology either suppresses the noise transmitted or keeps the system consistency, and establishes a compromise between error and chattering that preserves the stability and admissible performance of the system in a wide range of disturbances and uncertainties.

30 citations

References
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Book
01 Jun 1989
TL;DR: Pierces as mentioned in this paper is a classic text on acoustics with a rich history and development of the field of sound and acoustical engineering. But he organizes it superbly and writes intelligently with a wonderful way of integrating the history and evolution of the science and the graphics are exceptionally clear and communicative.
Abstract: My Personal Review: Texts on acoustics approach the subject from many different angles and at many different levels. Pierce's text is classic, rigorous and complete. It should serve the needs of serious students of acoustics for a variety of purposes musical acoustics and sound are my particular perspective.Some writers cater their approach to electrical engineers or to mechanical engineers, assuming that by tieing everything to those disciplines they will make the effort easier for their readers. This may serve well those who come from those disciplines, but may not serve others well and may not serve all applications of acoustics equally well either. Pierce does not do so. His approach is rigorously mathematical and pure, going to the heart of the matter, rather than one of attempting to cut corners by making analogies to other fields that you may or may not know.The book is not for the faint of heart or the mildly curious, it is deep and demanding. But he organizes it superbly and writes intelligently with a wonderful way of integrating the history and development of the science, and the graphics are exceptionally clear and communicative.Highly recommended for the very serious about this subject. My favorite among the books I have consulted.

2,235 citations

Book
Daniel J. Inman1
01 Jan 2006
TL;DR: In this article, the authors present a model of a single degree of freedom (SFL) system, which is a combination of linear and asymmetric feedback control systems with Damping.
Abstract: Preface. 1. SINGLE DEGREE OF FREEDOM SYSTEMS. Introduction. Spring-Mass System. Spring-Mass-Damper System. Forced Response. Transfer Functions and Frequency Methods. Measurement and Testing. Stability. Design and Control of Vibrations. Nonlinear Vibrations. Computing and Simulation in Matlab. Chapter Notes. References. Problems. 2. LUMPED PARAMETER MODELS. Introduction. Classifications of Systems. Feedback Control Systems. Examples. Experimental Models. Influence Methods. Nonlinear Models and Equilibrium. Chapter Notes. References. Problems. 3. MATRICES AND THE FREE RESPONSE. Introduction. Eigenvalues and Eigenvectors. Natural Frequencies and Mode Shapes. Canonical Forms. Lambda Matrices. Oscillation Results. Eigenvalue Estimates. Computational Eigenvalue Problems in Matlab. Numerical Simulation of the Time Response in Matlab. Chapter Notes. References. Problems. 4. STABILITY. Introduction. Lyapunov Stability. Conservative Systems. Systems with Damping. Semidefinite Damping . Gyroscopic Systems. Damped Gyroscopic Systems. Circulatory Systems. Asymmetric Systems. Feedback Systems. Stability in the State Space. Stability Boundaries. Chapter Notes. References. Problems. 5. FORCED RESPONSE OF LUMPED PARAMETER SYSTEMS. Introduction. Response via State Space Methods. Decoupling Conditions and Modal Analysis. Response of Systems with Damping. Bounded-Input, Bounded-Output Stability. Response Bounds. Frequency Response Methods. Numerical Simulations in Matlab. Chapter Notes. References. Problems. 6. DESIGN CONSIDERATIONS. Introduction. Isolators and Absorbers. Optimization Methods. Damping Design. Design Sensitivity and Redesign. Passive and Active Control. Design Specifications. Model Reduction. Chapter Notes. References. Problems. 7. CONTROL OF VIBRATIONS. Introduction. Controllability and Observability. Eigenstructure Assignment. Optimal Control. Observers (Estimators). Realization. Reduced-Order Modeling. Modal Control in State Space. Modal Control in Physical Space. Robustness. Positive Position Feedback Control. Matlab Commands for Control Calculations. Chapter Notes. References. Problems. 8. VIBRATION MEASUREMENT. Introduction. Measurement Hardware. Digital Signal Processing. Random Signal Analysis. Modal Data Extraction (Frequency Domain). Modal Data Extraction (Time Domain). Model Identification. Model Updating. Chapter Notes. References. Problems. 9. DISTRIBUTED PARAMETER MODELS. Introduction. Vibrations of Strings. Rods and Bars. Vibration of Beams. Membranes and Plates. Layered Materials. Viscous Damping. Chapter Notes. References. Problems. 10. FORMAL METHODS OF SOLUTION. Introduction. Boundary Value Problems and Eigenfunctions. Modal Analysis of the Free Response. Modal Analysis in Damped Systems. Transform Methods. Green's Functions. Chapter Notes. References. Problems. 11. OPERATORS AND THE FREE RESPONSE. Introduction. Hilbert Spaces. Expansion Theorems. Linear Operators. Compact Operators. Theoretical Modal Analysis. Eigenvalue Estimates. Enclosure Theorems. Oscillation Theory. Chapter Notes. References. Problems. 12. FORCED RESPONSE AND CONTROL. Introduction. Response by Modal Analysis. Modal Design Criteria. Combined Dynamical Systems. Passive Control and Design. Distribution Modal Control. Nonmodal Distributed Control. State Space Control Analysis. Chapter Notes. References. Problems. 13. APPROXIMATIONS OF DISTRIBUTED PARAMETER MODELS. Introduction. Modal Truncation. Rayleigh- Ritz-Galerkin Approximations. Finite Element Method. Substructure Analysis. Truncation in the Presence of Control. Impedance Method of Truncation and Control. Chapter Notes. References. Problems. APPENDIX A: COMMENTS ON UNITS. APPENDIX B: SUPPLEMENTARY MATHEMATICS. Index.

354 citations


"Vibroacoustic response and active c..." refers methods in this paper

  • ...Just recently, Xiang et al. (2011b) employed the extended homogeneous capacity precision integration approach along with the superposition principle to offer a semianalytic solution for the previously derived electric fluid–solid-coupled governing equations associated with a liquid-filled circular cylindrical shell treated with PACLD layers and subjected to ground harmonic motion....

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Journal ArticleDOI
TL;DR: In this paper, the free vibration of an arbitrarily thick orthotropic piezoelectric hollow cylinder with a functionally graded property along the thickness direction and filled with a non-viscous compressible fluid medium is investigated.

183 citations

Journal ArticleDOI
TL;DR: In this paper, a state equation with variable coefficients is derived in a unified matrix form for the free vibration of cylindrically orthotropic functionally graded cylindrical shells with arbitrary thickness.

142 citations


"Vibroacoustic response and active c..." refers background or methods in this paper

  • ...Conventional coupled vibration of circular cylindrical shells filled with ideal liquid or submerged in an infinite liquid region has been extensively investigated (Chen et al., 2004a; Hasheminejad and AhamdiSavadkoohi, 2010; Shah et al., 2011; Ventsel et al., 2010). Nevertheless, these structures generally do not have sufficient amount of damping, which make them vulnerable when severe resonance occurs. Traditional structural vibration control methods use passive constrained layer damping (PCLD) materials (i.e. a viscoelastic core layer along with an elastic material layer) bonded to the structure’s surface in order to suppress the vibration and noise. The dynamic characteristics of fluid-filled cylindrical shells with viscoelastic damping layers have been studied by several authors. For example, Ramasamy and Ganesan (1999) used the firstorder deformation theory to develop a semianalytical FEM model for calculating the natural frequencies and dynamic response of fluid-filled orthotropic cylindrical shells fully covered with constrained layer damping (CLD)....

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  • ...The computed dimensionless frequencies, O = vaq ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi r P =C PZT4 44 p , as plotted in Figure 8(b), exhibit perfect agreements with the free vibration natural frequency data presented in Figure 8 of Chen et al. (2004b)....

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  • ...The computed dimensionless frequencies, O = vaq ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi rPZT4P =C PZT4 44 p , as plotted in Figure 8(b), exhibit perfect agreements with the free vibration natural frequency data presented in Figure 8 of Chen et al. (2004b)....

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  • ...Conventional coupled vibration of circular cylindrical shells filled with ideal liquid or submerged in an infinite liquid region has been extensively investigated (Chen et al., 2004a; Hasheminejad and AhamdiSavadkoohi, 2010; Shah et al., 2011; Ventsel et al., 2010)....

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  • ...Chen et al. (2004b) studied the coupled vibration of an orthotropic functionally graded piezoelectric material (FGPM) hollow cylinder filled with internal compressible fluid using the 3D equations of piezoelasticity....

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