Investigation of planar vibrations of rectangular piezoceramic plates

Гринченко, В. Т.; Карлаш, В. Л.; Meleshko, V. V.; Улітко, А. Ф.

doi:10.1007/bf00882456

Cited by 11 publications

(12 citation statements)

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“…The frequencies of the modes ((3, 5)) and ( (4,5)) become close at the point γ = 0.65 and of the modes ((10, 5)) and ( (11,5)) within the interval 0.15 ≤ γ ≤ 0.2. The frequency of the mode ((2, 5)) hardly depends on the geometry of the ring.…”

Section: Asymmetric Vibrations Of Circular Plates and Ringsmentioning

confidence: 92%

“…The first three lines correspond to the longitudinal modes L1, L2, and L3 and the fourth line to a mode characterized by an unusual increase in the dynamic stresses toward the plate end. This mode was identified in [33-37, 79] with the edge resonance E1 of a rectangle detailed in [11]. This weak mode is distinguished by an abrupt increase in the amplitudes of displacements toward the corners and in the amplitudes of stresses toward the ends.…”

Section: Resonant Electroelastic Vibrations Of Piezoelectric Transformentioning

confidence: 98%

“…In particular, so-called potential circles of the first six modes of planar vibrations for 2 ≤ a/b ≤ 4 were plotted and analyzed in [11,25,40]. Deformation is very complex at intensive modes: the principal stresses concentrate first at the center of the plate (2 ≤ a/b ≤ 3.2) and then at some distance from it (3.2 ≤ a/b ≤ 4).…”

Section: Electroelastic Planar Vibrations Of Rectangular Piezoceramicmentioning

confidence: 99%

“…The curves are similar in that the frequency of edge resonance is between L3 and Ò1 and that the intensive transverse modes dominate in amplitude the longitudinal modes. The difference is in that the vibration spectrum of the piezoelectric transformer is denser than that of the homogeneous rectangle; for example, the modes L2 and L6 do not exist in the rectangular piezoceramic plate with solid electrodes [11,13].…”

Section: Frequency Response Of Homogeneous and Inhomogeneous Rectangumentioning

confidence: 99%

“…In [38] the potential $ ϕ of the probe was analytically related to the components of elastic strains ( ) ε ε θ r + , the piezoelectric moduli e 13 and e 33 , the components of elastic stiffness c E 11 and c E 33 , and dielectric permittivity ε 33 S at constant strain.…”

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confidence: 99%

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Resonant Electromechanical Vibrations of Piezoelectric Plates

Карлаш

2005

Int Appl Mech

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The scientific results on the resonant electromechanical vibrations of piezoceramic plates in the form of disks, rings, and polygons obtained over the last 30 years are analyzed, systematized, and generalized. Emphasis is on experimental methods. It is shown that all piezoceramic plates have vibration modes at which deformations are in-phase over the entire volume of the body Introduction. Thin piezoelectric plates have been a central preoccupation of scientists and engineers for more than one hundred and twenty years passed since the Curie brothers discovered (in 1880) the piezoelectric effect in conductivity experiments on natural crystals. Direct and converse piezoelectric effects are distinguished. The former (piezoelectricity) is that in which mechanical stresses applied to a piezoelectric body induce electric charges on its surface, and the latter (electrostriction) is the deformation of the piezoelectric body caused by charges generated on its surface. The modern piezoelectric transducers employ either direct or converse piezoeffect, or both, as in piezoelectric transformers. In other words, piezoelectric bodies convert electrical into mechanical energy or, vice versa, mechanical into electrical energy. Piezoelectric transformers and transfilters are based on double energy conversion: an electric potential difference is converted into a mechanical stress and then again into a different (higher or lower) electric potential difference. The efficiency of piezoelectric energy conversion is determined by the static and dynamic electromechanical coupling coefficients and the intensity (amplitude) of mechanical vibrations relative to the level of the applied electric power. The piezoelectric effect is a widespread phenomenon observed in many anisotropic crystals, of which quartz, tourmaline, and Rochelle salt have been used since the beginning of the 20th century.A powerful impetus to the development and application of piezoelectricity was the creation, in the 40s of the past century, of synthetic poled piezoceramics based on barium titanate, which was predicted by A. V. Shubnikov even in 1940 [9]. Elements of ultrasonic devices made of poled piezoceramics have a few advantages over natural piezoelectrics such as larger, by an order of magnitude, electromechanical-coupling coefficient. Nowadays, lead-zirconate-titanate solid solutions and their compositions with barium-titanate solid solutions have superseded barium-titanate piezoceramics. But piezoceramics continue to be perfected.In the last decades, piezoelectric, primarily ceramic plates of various geometries have been widely used in vibration detection and control systems, such as actuators and sensors, and in multilayer metal-ceramic structures. Monolithic and composite piezoceramic plates of heterogeneous structure continue to be used in various piezoelectric transformers and frequency filters. Thus, study into the resonant electromechanical vibrations of piezoceramic plates is an important and urgent task of the mechanics of coupled fields in materials an...

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