Commentary on Discussion of ‘On the theory of standing waves in tyres at high vehicle speeds’ by V.V. Krylov and O. Gilbert, Journal of Sound and Vibration 329 (2010) 4398–4408

Krylov, Victor V.

doi:10.1016/j.jsv.2013.08.030

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…Huang and Maradudin get the conclusion that surface roughness leads to the attenuation of surface acoustic wave in two polarization directions through studying on the acoustic surface wave propagation over the inserted groove [5]. V． V． Krylov and Z． A． Smimova measure the relative change of velocity surface acoustic wave on rough surface in the two dimensional and three dimensional and the results can match well with the theoretical results [6]. In this paper the effect of dispersion curves of the wave from rough surface are investigated using the finite element method based on surface acoustic wave dispersion theory.…”

Section: Introductionmentioning

confidence: 55%

Study on the Influence of Roughness on the Detection for Mechanical Characteristics of the Machined Surface by Surface Acoustic Wave Dispersion Theory

Lin

Wei

2016

KEM

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The surface acoustic wave (SAW) technique is a precise and nondestructive method to detect the mechanical characteristics of the precision-machined surface. The paper is concerned with the effect of the roughness of the machined surface on the dispersion of surface acoustic waves propagating in the precision-machined surface which indicates mechanical characteristics of the machined surface. The finite element method (FEM) is employed by establishing a series of models with different roughness Ra value to analyze influences from different roughness Ra value on surface acoustic wave dispersion. The models are established by applying a combined method based on fractal theory and wavelet analysis. The simulation results showed that the roughness of machined surface will cause the dispersion of surface acoustic wave propagation, the effect varies with the different roughness Ra values. A critical Ra value influencing on the surface acoustic wave propagation exists. Accordingly, that the factor of roughness should be considered in advance or not, the situation can be determined through studying and determining the critical roughness Ra value above mentioned. Consequently, the study has the important meaning regarding the detection for mechanical characteristics of the machined surface.

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Section: Introductionmentioning

confidence: 55%

Study on the Influence of Roughness on the Detection for Mechanical Characteristics of the Machined Surface by Surface Acoustic Wave Dispersion Theory

Lin

Wei

2016

KEM

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“…Berthet et al (2003) noted this for the case close to case PWPV, yet with the vorticity localised within a region long compared with the acoustic wavelength. The cause is the analogy between the representation (3.6) and two-dimensional Kirchhoff's diffraction formula (see Schot (1992) and Krylov (1989), S 3), both of which are based on the Helmholtz equation (3.1), though a source is distributed for scattering by a flow and localised on a one-dimensional surface for diffraction by an aperture. On the forward direction, where the diffraction pattern is typically of interest, the far field can be identified with the Fraunhofer region, while the near field with the Fresnel region.…”

Section: Leading-order Solution Asmentioning

confidence: 99%

Sound scattering by a vortex: case of exponentially decaying velocity

Gadzhiev

Gaifullin

2021

J. Fluid Mech.

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“…However, the linearisation procedure adopted in [28] is discussable. Recent contributions to the discussion on the existence of resonance speeds can be found in [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

A high-order model for in-plane vibrations of rotating rings on elastic foundation

Lü

Tsouvalas

Metrikine

2019

Journal of Sound and Vibration

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A new high-order model for in-plane vibrations of rotating rings is developed in this paper. The inner surface of the ring is connected to an immovable axis through an elastic foundation (distributed springs), whereas the outer surface is traction free. The developed model enables the dynamic analysis of the rings on stiff elastic foundation that rotate with a high speed. The traction force at the inner surface of such rings is so high that it influences significantly the through-thickness stress distribution. This boundary effect cannot be captured by the classical low order theories while the model proposed in this paper can account for this effect. Nonlinear equations of motion are first derived, considering the geometrical nonlinearity of the system while assuming the linear elastic behaviour of the ring material. The formulation accounts for the stress caused by rotation and the significant normal and tangential traction forces at the inner surface of the ring. The displacement fields are assumed to be polynomials of the throughthickness coordinate in both the radial and circumferential directions. The derivation is generic and can yield ring theories of different order, i.e. of the Timoshenko-type and beyond, with proper consideration of both the internal state of the body and the boundary effects at the surfaces. Two types of critical speeds are investigated, namely the one at which the free vibrations become unstable and the one at which the forced vibration of a rotating ring subjected to a constant stationary point load experiences resonance. A comparison is presented of the predictions of the developed model to those of the lower order theories. It is shown that even for thin rings on elastic foundation, high order corrections, beyond the ones of the Timoshenko theory, need to be considered for an accurate estimation of the critical speeds of rotating rings. The new high-order model is superior to the existing ring models in predicting dynamic behaviour of either stationary or rotating rings. Without loss of generality, the model is applicable to both plane strain and plane stress configurations.

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Commentary on Discussion of ‘On the theory of standing waves in tyres at high vehicle speeds’ by V.V. Krylov and O. Gilbert, Journal of Sound and Vibration 329 (2010) 4398–4408

Cited by 4 publications

References 11 publications

Study on the Influence of Roughness on the Detection for Mechanical Characteristics of the Machined Surface by Surface Acoustic Wave Dispersion Theory

Study on the Influence of Roughness on the Detection for Mechanical Characteristics of the Machined Surface by Surface Acoustic Wave Dispersion Theory

Sound scattering by a vortex: case of exponentially decaying velocity

A high-order model for in-plane vibrations of rotating rings on elastic foundation

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