Gyroscopic effect for SAW in common piezoelectric crystals

Biryukov, S. V.; Schmidt, H.; Weihnacht, M.

doi:10.1109/ultsym.2009.5441457

Cited by 23 publications

(18 citation statements)

References 9 publications

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“…Here, the functions U * ð0Þ are Bloch functions of the form exp½iðk 1 x þ k 2 yÞw * ðx; y; zÞ with functions w * ðx; y; zÞ having the same periodicity in the x-y plane as the surface corrugation. This implies that the integrals in (14) and (15) may both be extended over the volume 0 < x < L x , 0 < y < L y , À1 < z < 0.…”

Section: Application Of Perturbation Theory To Linear Acoustic Vmentioning

confidence: 99%

“…4-6 and references therein, Refs. [7][8][9][10][11][12][13][14]. This is because of new experimental work in connection with possible sensor applications.…”

Section: Introductionmentioning

confidence: 99%

“…In this study, we shall make use of this fact and perform an expansion in powers of c of the frequency shift that a linear acoustic mode experiences due to the rotation of the medium. In their detailed investigation of the gyroscopic effect on surface acoustic waves in piezoelectric media, Biryukov et al 14 considered such an expansion for the relative shift of phase velocity, and the first-order term in this expansion had been considered for Rayleigh waves in isotropic substrates in Refs. 11 and 15. For this first-order term, resulting from the Coriolis force, an explicit expression is derived in terms of the displacement field associated with the acoustic mode in the absence of rotation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the Coriolis effect in acoustic waveguides

Wegert

Reindl

Ruile³

et al. 2012

The Journal of the Acoustical Society of America

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Rotation of an elastic medium gives rise to a shift of frequency of its acoustic modes, i.e., the time-period vibrations that exist in it. This frequency shift is investigated by applying perturbation theory in the regime of small ratios of the rotation velocity and the frequency of the acoustic mode. In an expansion of the relative frequency shift in powers of this ratio, upper bounds are derived for the first-order and the second-order terms. The derivation of the theoretical upper bounds of the first-order term is presented for linear vibration modes as well as for stable nonlinear vibrations with periodic time dependence that can be represented by a Fourier series.

show abstract

Section: Application Of Perturbation Theory To Linear Acoustic Vmentioning

confidence: 99%

“…4-6 and references therein, Refs. [7][8][9][10][11][12][13][14]. This is because of new experimental work in connection with possible sensor applications.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Coriolis effect in acoustic waveguides

Wegert

Reindl

Ruile³

et al. 2012

The Journal of the Acoustical Society of America

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“…Biryukov et al . investigated the gyroscopic effect in arbitrary crystals by taking into account the medium rotation. Sharma considered the propagation of body waves in a homogenous isotropic, rotating, generalized thermoelastic solid with voids.…”

Section: Introductionmentioning

confidence: 99%

“…Kuma [20] presented a two dimensional problem in electromagnetic micropolar generalized thermoelastic medium subjected to mechanical force or thermal source. Biryukov et al [21] investigated the gyroscopic effect in arbitrary crystals by taking into account the medium rotation. Sharma [22] considered the propagation of body waves in a homogenous isotropic, rotating, generalized thermoelastic solid with voids.…”

Section: Introductionmentioning

confidence: 99%

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Yuan

Jiang

2016

Z Angew Math Mech

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This paper addresses the initial stresses and rotation effects on the wave reflection in the pyroelectric half‐plane using inhomogeneous wave approach. The rotation in the governing pyroelectric equation is characterized by considering the Coriolis and centrifugal accelerations, and the initial stresses are included by modifying the elasticity tensor. A scenario is modelled where a quasi‐longtitudinal wave is incident on free boundary surface, resulting into reflected waves like temperature wave, quasi‐transverse wave, quasi‐longitudianal wave, and surface wave. Attenuation angle, initial stresses, and rotation's impacts on the velocity, attenuation, and energy coefficients of reflected wave are presented.

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Electric bias dependence of piezoelectric wave reflection upon a rotating half‐plane

Yuan

2019

Z Angew Math Mech

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Main theory concerned with the piezoelectric wave reflection subjected the action of electric bias and rotation is presented, in which the higher order tensors of piezoelectric, elastic, dielectric and electrostrictive constants are involved. Some calculations for Lithium Niobate reveals that the electric bias and rotation are important factors of the wave reflection problems. K E Y W O R D Scoriolis acceleration, electric bias, nonlinear tensors, wave reflection

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Gyroscopic effect for SAW in common piezoelectric crystals

Cited by 23 publications

References 9 publications

On the Coriolis effect in acoustic waveguides

On the Coriolis effect in acoustic waveguides

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Electric bias dependence of piezoelectric wave reflection upon a rotating half‐plane

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