Dynamic behaviour of a rolling tyre: Experimental and numerical analyses

Díaz, Cristóbal González; Kindt, Peter; Middelberg, Jason; Vercammen, Stijn; Thiry, Christophe; Close, Roland; Leyssens, Jan

doi:10.1016/j.jsv.2015.11.025

Cited by 49 publications

(13 citation statements)

References 20 publications

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“…The paper [15] presents the measurement with a laser Doppler vibrometer and analysis of rolling tire vibrations due to road impact excitations. Based on the results of experimental and numerical analyses, the effect of rotation on the tire dynamic behaviour was investigated in [16]. The effects of rotation on the NF of a loaded tire were studied in [17] using finite element model.…”

Section: F Kozhevnikovmentioning

confidence: 99%

Another Special Case of Vibrations of a Rolling Tire

Kozhevnikov¹

2020

Nelin. Dinam.

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We investigate a special case of vibrations of a loaded tire rolling at constant speed. A previously proposed analytical model of a radial tire is considered. The surface of the tire is a flexible tread combined with elastic sidewalls. In the undeformed state, the tread is a circular cylinder. The tread is reinforced with inextensible cords. The tread is the part of the tire that makes actual contact with the ground plane. In the undeformed state, the sidewalls are represented by parts of two tori and consist of incompressible rubber described by the Mooney –Rivlin model. The previously obtained partial differential equation which describes the tire radial in-plane vibrations about steady-state regime of rolling is investigated. Analyzing the discriminant of the quartic polynomial, which is the function of the frequency of the tenth degree and the function of the angular velocity of the sixth degree, the rare case of a root of multiplicity three is discovered. The angular velocity of rotation, the tire speed and the natural frequency, corresponding to this case, are determined analytically. The mode shape of vibration in the neighborhood of the singular point is determined analytically.

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Section: F Kozhevnikovmentioning

confidence: 99%

Another Special Case of Vibrations of a Rolling Tire

Kozhevnikov¹

2020

Nelin. Dinam.

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“…Such problems are found in engineering practice in rotor systems of gas turbine engines, high-speed centrifugal separators, rotating satellite structures, automotive tyres etc. [8,9]. Rotation makes dynamic behaviour of this type of structures significantly more complex due to bifurcation of natural frequencies and travelling natural modes [3].…”

Section: Introductionmentioning

confidence: 99%

Natural vibration analysis of pressurised and rotating toroidal shell segment by Rayleigh-Ritz method

Senjanović

Alujević

Ćatipović

et al. 2020

IJEM

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A semi-analytical procedure for natural vibration analysis of a simply supported toroidal shell segment is presented. The segment is closed in the circumferential direction and open in the meridional direction. The open edges are assumed to be simply supported. The segment therefore roughly resembles the geometry of a rotating tyre. The energy approach is used assuming shell displacements in the form of Fourier series in both circumferential and meridional directions. In the circumferential direction only one term of the Fourier series is necessary to describe exactly each vibration mode. In the meridional direction a relatively small number of Fourier series terms is necessary to achieve convergence. Tensional forces induced by the pressure and centrifugal loads are also determined by the energy approach. The application of the proposed procedure is illustrated by a numerical example. The increase in the internal pressure increases values of natural frequencies, whereas the shell rotation causes their bifurcation and the occurrence of travelling modes. In order to validate the method, the obtained results are compared with those determined by the finite strip method and by the finite element method.

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“…Structural acoustics involves the interaction between a vibrating structure and the pressure fluctuations in an acoustic field, and it can be useful in identifying the noise radiated from a structure or how a structure responds to acoustic waves. Applications of coupled structural acoustics include shock loads on ships [1,2], tire-road interaction [3][4][5], and aero-structures [6][7][8][9]. Computational structural acoustics is used at Sandia National Laboratories to predict structural responses in various acoustic environments.…”

Section: Introductionmentioning

confidence: 99%

Partitioned Coupling for Structural Acoustics

Bunting

Miller

2019

Journal of Vibration and Acoustics

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We expand the second-order fluid–structure coupling scheme of Farhat et al. (1998, “Load and Motion Transfer Algorithms for 19 Fluid/Structure Interaction Problems With Non-Matching Discrete Interfaces: Momentum and Energy Conservation, Optimal Discretization and Application to Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 157(1–2), pp. 95–114; 2006, “Provably Second-Order Time-Accurate Loosely-Coupled Solution Algorithms for Transient Nonlinear Computational Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 195(17), pp. 1973–2001) to structural acoustics. The staggered structural acoustics solution method is demonstrated to be second-order accurate in time, and numerical results are compared to a monolithically coupled system. The partitioned coupling method is implemented in the Sierra Mechanics software suite, allowing for the loose coupling of time domain acoustics in sierra/sd to structural dynamics (sierra/sd) or solid mechanics (sierra/sm). The coupling is demonstrated to work for nonconforming meshes. Results are verified for a one-dimensional piston, and the staggered and monolithic results are compared to an exact solution. Huang, H. (1969, “Transient Interaction of Plane Acoustic Waves With a Spherical Elastic Shell,” J. Acoust. Soc. Am., 45(3), pp. 661–670) sphere scattering problem with a spherically spreading acoustic load demonstrates parallel capability on a complex problem. Our numerical results compare well for a bronze plate submerged in water and sinusoidally excited (Fahnline and Shepherd, 2017, “Transient Finite Element/Equivalent Sources Using Direct Coupling and Treating the Acoustic Coupling Matrix as Sparse,” J. Acoust. Soc. Am., 142(2), pp. 1011–1024).

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Dynamic behaviour of a rolling tyre: Experimental and numerical analyses

Cited by 49 publications

References 20 publications

Another Special Case of Vibrations of a Rolling Tire

Another Special Case of Vibrations of a Rolling Tire

Natural vibration analysis of pressurised and rotating toroidal shell segment by Rayleigh-Ritz method

Partitioned Coupling for Structural Acoustics

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