Influence of a cable line on the transient operation of a piezoelectric transmitter

Kubenko, V. D.; Babaev, A. A.

doi:10.1007/bf02700577

Cited by 2 publications

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“…As a result, the radiator is driven by an electric pulse differing from the input one. Several published papers [12][13][14] have studied the influence of the cable on the functioning of the thin-wall spherical and cylindrical radiators excited in nonstationary conditions. These studies were conducted within the framework of the theory of thin-wall electroelastic shells 15 based on the Kirchhoff-Love hypotheses.…”

Section: Introductionmentioning

confidence: 99%

Influence of an oscillating circuit on the radiation of transient acoustic waves by an electroelastic cylinder

Babaev

Babaev²,

Yanchevskiy

2010

The Journal of the Acoustical Society of America

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The problem of nonstationary wave radiation in an infinitely long thick-wall piezoelectric cylinder in fluid medium is considered. The influence of an oscillating circuit with lumped parameters on characteristics of transient process is taken into consideration. Problem formulation is executed within the forced electrostatic theory, acoustic approximations, and quasistatic theory for electric circuit. The solution method is based on the integral Laplace transform in time. This allows analytically reducing the problem to solving a system of Volterra integral equations with retarded arguments. The numerical results of calculations are presented and analyzed.

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Section: Introductionmentioning

confidence: 99%

Influence of an oscillating circuit on the radiation of transient acoustic waves by an electroelastic cylinder

Babaev

Babaev²,

Yanchevskiy

2010

The Journal of the Acoustical Society of America

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“…There are hydroelectroelastic systems where the piezoelectric transducer and the generator are spaced far apart and connected by a long cable. The influence of such a wire line on the transient characteristics was analyzed in [10,11,15], where the transducer is thin-walled and its behavior is described by the theory of electroelastic shells based on the Kirchhoff-Love hypotheses [5].The present paper addresses the problem of wave generation by a thick-walled, infinitely long, cylindrical piezoelectric transducer immersed in a perfect compressible liquid. The solid conductive coatings on the inner and outer surfaces of the transducer are connected by a two-wire line with distributed parameters (cable) to a source of nonstationary electric signals.…”

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confidence: 99%

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confidence: 99%

Generation of nonstationary waves by a thick-walled piezoceramic cylinder excited by electric signals

Babaev

2005

Int Appl Mech

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Coupled electroelasticity theory, acoustic approximation, and two-wire transmission line theory are used to study the generation of waves by a submerged cylindrical piezoelectric transducer connected by a cable to a source of nonstationary electric signals. The problem is reduced to a system of integral Volterra equations using the Laplace transform and analytical inversion of boundary conditions. The results of calculations for different cable lengths are presented Keywords: electroelasticity, piezoelectricity, generation of nonstationary waves, two-wire line Most studies on electroelasticity and hydroelectroelasticity have been carried out for time-periodic dynamic processes [5,8]. The significance of these results does not detract from the importance of such problems in a nonstationary formulation. This is due to the wide application of piezoceramic transducers that operate in pulse modes. There was a series of studies in which such problems were formulated assuming a potential difference between conductive coatings of the transducer. In addition to periodic publications (such as [12,13]), these results are partially generalized in the monograph [1] and review [14]. Of the recent studies on nonstationary continuum mechanics, it is worthwhile to mention the papers [9,16,17]. There are hydroelectroelastic systems where the piezoelectric transducer and the generator are spaced far apart and connected by a long cable. The influence of such a wire line on the transient characteristics was analyzed in [10,11,15], where the transducer is thin-walled and its behavior is described by the theory of electroelastic shells based on the Kirchhoff-Love hypotheses [5].The present paper addresses the problem of wave generation by a thick-walled, infinitely long, cylindrical piezoelectric transducer immersed in a perfect compressible liquid. The solid conductive coatings on the inner and outer surfaces of the transducer are connected by a two-wire line with distributed parameters (cable) to a source of nonstationary electric signals. The medium inside the cylinder is vacuum. A similar problem where a transducer is excited by a signal supplied directly to its electrodes was solved in [2].The dynamic processes in the hydroelectroelastic system in question are modeled using coupled electroelasticity theory [5], acoustic approximation, and two-wire transmission line theory [3].We will use the following notation: u r is the radial displacement of the transducer; σ rr and σ θθ are the radial and circumferential components of the stress tensor; Ψ and D r are the potential and electric displacements of the electric field; C E 11 , C E 13 , and C E 33 are the elastic moduli; ρ c is density; e 33 and e 31 are the piezoelectric moduli; d 33 is a piezoelectric constant; ε 33 s is the dielectric permittivity of the material; R 1 and R 2 are the outer and inner radii of the cylinder; r is the radial coordinate; ϕ is the velocity potential of the ambient acoustic medium; p and V r are the pressure and velocity in this medium; ρ and c are its ...

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Influence of a cable line on the transient operation of a piezoelectric transmitter

Cited by 2 publications

References 0 publications

Influence of an oscillating circuit on the radiation of transient acoustic waves by an electroelastic cylinder

Influence of an oscillating circuit on the radiation of transient acoustic waves by an electroelastic cylinder

Generation of nonstationary waves by a thick-walled piezoceramic cylinder excited by electric signals

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