Studies on dynamic behavior of composite and isotropic cylindrical shells with PZT layers under axisymmetric temperature variation
TL;DR: In this paper, a comparative study on the vibratory characteristics of isotropic and orthotropic cylindrical shells with perfectly bonded piezoelectric material on the inner and outer surface of the shell lamina is presented.
About: This article is published in Journal of Sound and Vibration.The article was published on 2004-03-22. It has received 11 citations till now. The article focuses on the topics: Isotropy & Shell (structure).
Citations
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01 Oct 2006
TL;DR: In this article, a non-linear dynamic governing equation of piezoelectric laminated cylindrical shells with freely supported end conditions is derived on the basis of the minimum potential energy principle.
Abstract: This article presents an analytical solution for wave propagation in piezoelectric laminated cylindrical shells under large deformation with the effect of rotary inertias. In this research, non-linear dynamic governing equations of piezoelectric laminated cylindrical shells with freely supported end conditions are derived on the basis of the minimum potential energy principle. The effects of piezoelectricity, rotary inertias, and geometrical non-linear deformations on wave propagation are considered in the governing equations. Wave propagation characteristics curves are carried out by solving an eigenvalue problem. In example calculations, the effects of the wave propagation modes, piezoelectric layers, and the stacking sequence on wave propagation in piezoelectric laminated cylindrical shell are obtained and discussed from the wave characteristics curves. The results carried out can be used in the ultrasonic inspection techniques and health monitoring for piezoelectric laminated structures.
7 citations
TL;DR: In this paper, a numerical approach is presented to study the guided wave propagation through periodic specimen with thermal dependence of material properties, which can predict the sensitivity of the wave propagation characteristics in presence of temperature variations.
5 citations
TL;DR: In this article, a dynamic model of laminated piezoelectric cylindrical shells is derived based on Cooper-Naghdi shell theory considering the effects of transverse shear and rotary inertia.
Abstract: This paper reports the result of an investigation into wave propagation in orthotropic laminated piezoelectric cylindrical shells in hydrothermal environment. A dynamic model of laminated piezoelectric cylindrical shell is derived based on Cooper-Naghdi shell theory considering the effects of transverse shear and rotary inertia. The wave characteristics curves are obtained by solving an eigenvalue problem. The effects of layer numbers, thickness of piezoelectric layers, thermal loads and humid loads on the wave characteristics curves are discussed through numerical results. The solving method presented in the paper is validated by the solution of a classical elastic shell non-containing the effects of transverse shear and rotary inertia. The new features of the wave propagation in laminated piezoelectric cylindrical shells with various laminated material, layer numbers and thickness in hydrothermal environment and some meaningful and interesting results in this paper are helpful for the application and the design of the ultrasonic inspection techniques and structural health monitoring.
3 citations
25 Jul 2009
TL;DR: In this paper, a rigid piezo-damping epoxy-matrix composites containing piezoelectric lead zirconate titanate thin films was presented.
Abstract: A new type of rigid piezo-damping epoxy-matrix composites containing piezoelectric lead zirconate titanate thin films
was prepared. The PbZr0.47Ti0.53O3 thin films were fabricated on the Pt/Ti/SiO2/Si substrates by sol-gel method. The
crystal structure of the films was characterized. The thin films showed a perovskite phase by changing annealing
temperature. The produced film and the substrates have been joined into epoxy resin as constrained layer, and then the
damping property of composites has been study. Through improving the annealing process when proparing film, the
optimum filming technology which can improve the damping property of composites has obtained. The film was hated
up to 700°C with 10°C/min and holding time for 30min, then cooling with furnace. By this way, The dielectric constant
and the dissipation factor of the PbZr0.47Ti0.53O3 thin films were about 480 and 0.027 at 1MHz, respectively.The peak of
the damping tanδ has reached 0.923. The results show that when the Pb(Zr0.53Ti0.47)O3 thin films annealed at 700°C, the
damping loss factor of the composites has reached the maximum.
2 citations
Cites background from "Studies on dynamic behavior of comp..."
...Loss factor (tanδ) is an important parameter characterizing macromolecular viscoelasticity, and also represents damping capacity of the materials that expresses an ability of converting the mechanical energy into heat energy when the material is subjected to an external loading.([10-12]) Figure4 shows the loss factor of the composites of PZT thin films annealed in the temperatures range from 550°C to 850°C....
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TL;DR: In this article, the conditions of optimal transformation of electric energy into mechanical deformations are defined with due account of dielectric relaxation processes, and a theory of nonlinear autowave systems with energy dissipation was used in a physical model of the electrothermal fracture of polar dielectrics, and as a result a nondestructive testing method to study the microstructure defect formation has been suggested.
Abstract: Three-dimensional (3D) constitutive equations of piezoelectric (PZ) plates and shells are considered for inverse linear and electrostrictive (quadratic) piezoeffects. Prestressed multilayer PZ shells reinforced with metal including the case of uneven thickness polarization are studied. Asymptotic and variational methods to solve the governing differential equations of PZ shells are considered. Concentrations of electrical and mechanical fields near structure imperfections and external local loading are investigated. The electrothermoviscoelastic heating of PZ shells is considered at harmonic excitation. From numerical analysis and the experimental data of energy dissipation and the temperature behavior of PZ shell the conditions of optimal transformation of electric energy into mechanical deformations are defined. Thus, the geometrical parameters and working frequencies are determined with due account of dielectric relaxation processes. The following nonlinear phenomena are studied: acoustoelectronic wave amplification; electron injection into metalized polar dielectric; resonance growth by 5–20 times of internal electrical field strength in the PZ shells and plates; and autothermostabilization of ferroelectric resonators. For a better understanding of R.D. Mindlin’s gradient theory of polarization in view of electron processes in thin metal-dielectric-metal structures, use was made of solid state physics interpretations as well as experimental data. High concentration of mechanical stresses and temperature and electrical fields near structure defects (first of all, near boundary between various materials) defines the main properties of polar dielectrics. An unknown domain of electrode rough surface influence was estimated, and as result an uneven polarization distribution was found. A theory of nonlinear autowave systems with energy dissipation was used in a physical model of the electrothermal fracture of dielectrics (contacting with metal electrodes), and as a result a nondestructive testing method to study the microstructure defect formation has been suggested.
2 citations
References
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Book•
01 Jan 1974
TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
Abstract: Notation. Introduction. One-Dimensional Elements, Computational Procedures. Basic Elements. Formulation Techniques: Variational Methods. Formulation Techniques: Galerkin and Other Weighted Residual Methods. Isoparametric Elements. Isoparametric Triangles and Tetrahedra. Coordinate Transformation and Selected Analysis Options. Error, Error Estimation, and Convergence. Modeling Considerations and Software Use. Finite Elements in Structural Dynamics and Vibrations. Heat Transfer and Selected Fluid Problems. Constaints: Penalty Forms, Locking, and Constraint Counting. Solid of Revolution. Plate Bending. Shells. Nonlinearity: An Introduction. Stress Stiffness and Buckling. Appendix A: Matrices: Selected Definition and Manipulations. Appendix B: Simultaneous Algebraic Equations. Appendix C: Eigenvalues and Eigenvectors. References. Index.
6,126 citations
Book•
01 Jan 1993
TL;DR: In this paper, a linear piezoelectricity theory is proposed for the control of cylindrical shells with finite element sensors and actuators, based on a finite element formulation and analysis.
Abstract: Piezoelectric shell vibration theory common piezoelectric continua and active piezoelectric structures distributed sensing and control of elastic shells multi-layered shell actuators boundary control of beams distributed control of plates with segmented sensors and actuators convolving shell sensors and actuators applied to rings sensing and control of cylindrical shells finite element formulation and analyses. Appendix: linear piezoelectricity theory.
493 citations
TL;DR: In this paper, a finite element formulation based on the classical laminated plate theory is presented for the shape and vibration control of the functionally graded material (FGM) plates with integrated piezoelectric sensors and actuators.
407 citations
TL;DR: In this article, a system of two-dimensional equations for high frequency motions of crystal plates accounting for coupling of mechanical, electrical and thermal fields is derived for high-frequency motions.
349 citations