Axisymmetric vibrations of radially polarized piezoelectric ceramic cylinders

Adelman, N. T.; Stavsky, Y.; Segal, E.

doi:10.1016/s0022-460x(75)80008-3

Cited by 88 publications

(33 citation statements)

References 3 publications

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“…For a piezoelectric medium, the constitutive relations are as follows [6]: where σ i j , D i andε i j are the components of the stress, electric displacement, and strain, respectively. C i jkl , e ki j , and ε ik are material properties, namely, the elastic, piezoelectric, and dielectric constants.…”

Section: Constitutive Relations and Fundamental Equationsmentioning

confidence: 99%

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Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft

Babaei

Chen

2007

Arch Appl Mech

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In the present paper, the analytical solution for a radially piezoelectric functionally graded rotating hollow shaft is presented. The variation of material properties is assumed to follow a power law along the radial direction of the shaft. Two resulting fully coupled differential equations in terms of the displacement and electric potential are solved directly. Numerical results for different shaft geometries with different profiles of inhomogeneity are also graphically displayed.

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Section: Constitutive Relations and Fundamental Equationsmentioning

confidence: 99%

“…(1), (5) and (6) and considering u ,tt = −r ω 2 , according to D'Alembert's principle, two coupled governing differential equations for the problem are obtained:…”

Section: Governing Equationsmentioning

confidence: 99%

Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft

Babaei

Chen

2007

Arch Appl Mech

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“…The nondimensional geometric parameters for the hollow cylinder are taken as ξ 0 = 0.5, ξ 1 = 0.6, ξ 2 = 0.7, ξ 3 = 0.8, ξ 4 = 0.9, ξ 5 = 1.0. The material constants for each layer are listed in Table 1 [15,16]. Suppose the hollow cylinder is subjected to a constant pressure at the interior surface and is traction-free at the exterior surface.…”

Section: Numerical Resultsmentioning

confidence: 99%

Control of stress response in a rotating infinite hollow multilayered piezoelectric cylinder

Wang

Ding

2006

Arch Appl Mech

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The theoretical study of the control of stress is developed for a rotating infinite hollow multilayered radially polarized piezoelectric cylinder. The exact solution is obtained by means of the state-space method. As an illustrative example, the distribution of the radial and tangential stresses in a rotating hollow internally pressurized five-layered piezoelectric cylinder subjected to different electric potential at the internal and external surfaces are performed. Numerical results show that the distribution of the stress can be controlled by applying appropriate electric potentials at the correct surfaces.

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“…Because synthetic materials (e.g., PZT and PLZT) and polymers (e.g., PVDF) can be fabricated into arbitrary geometries and shapes, they are very popular in many sensor and actuator applications. Fundamental theories on piezoelectricity, piezothermoelasticity, and optopiezothermoelasticity have been proposed and refined over the years [6,[8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Engineering application of piezoelectric materials started with a depth-sounding device, based on Rochelle salt, invented by Langevin in 1917.…”

Section: Piezoelectric Materialsmentioning

confidence: 99%

Smart Materials, Precision Sensors/Actuators, Smart Structures, and Structronic Systems

Tzou

Lee

Arnold

2004

Mechanics of Advanced Materials and Structures

177

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Many electroactive functional materials have been used in small-and microscale transducers and precision mechatronic control systems for years. It was not until the mid-1980s that scientists started integrating electroactive materials with large-scale structures as in situ sensors and/or actuators, thus introducing the concept of smart materials, smart structures, and structronic systems. This paper provides an overview of present smart materials and their sensor/actuator/structure applications. Fundamental multifield optomagnetopiezoelectric-thermoelastic behaviors and novel transducer technologies applied to complex multifield problems involving elastic, electric, temperature, magnetic, light, and other interactions are emphasized. Material histories, characteristics, material varieties, limitations, sensor/actuator/structure applications, and so forth of piezoelectrics, shape-memory materials, electro-and magnetostrictive materials, electro-and magnetorheological fluids, polyelectrolyte gels, superconductors, pyroelectrics, photostrictive materials, photoferroelectrics, magneto-optical materials, and so forth are thoroughly reviewed. INTRODUCTIONThe concepts of smart, intelligent, and adaptive materials and structures originated in the mid-1980s in an attempt to describe the newly emerging research area of integrating electroactive functional materials into large-scale structures as in situ sensors and actuators. Previously, electroactive materials had only been used in small-and microscale transducers and precision mechatronic (mechanical + electronic) control systems. The general perception of smart, intelligent, and adaptive materials or structures implies an ability to be clever, sharp, active, fashionable, and sophisticated. However, in reality, materials or structures can never achieve true intelligence or reasoning without the addition of artificial intelligence

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Axisymmetric vibrations of radially polarized piezoelectric ceramic cylinders

Cited by 88 publications

References 3 publications

Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft

Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft

Control of stress response in a rotating infinite hollow multilayered piezoelectric cylinder

Smart Materials, Precision Sensors/Actuators, Smart Structures, and Structronic Systems

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