Elastic behavior of ring-on-foundation

Zhou, Fenghua; Yu, Tongqiang; Yang, Liming

doi:10.1016/j.ijmecsci.2011.09.005

Cited by 16 publications

(9 citation statements)

References 8 publications

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“…Most of the studies on beam with elastic foundations are for continuous, non-interrupted supports, such as those in [17][18][19][20] where different material models and loading conditions are considered. Yu and his colleagues did dynamic analysis of impact loading on beam-on-foundation based on a simplified rigid-plastic model [17].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic response of continuous beams with discrete viscoelastic supports under sinusoidal loading

Wang

et al. 2014

International Journal of Mechanical Sciences

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Analysis of vibrations of continuous beams with discrete viscoelastic supports has been established through theoretical modeling and a finite element analysis. The theoretical model is based on the Euler-Bernoulli theory, and the Ritz approach was employed to obtain numerical results from which the attenuation of the beam's vibration was obtained. In parallel, a finite element analysis was carried out in ABAQUS using 3D beam elements. It is shown that the results of theoretical calculation agree well with those of the finite element analysis.Both models were applied to explore geometric and design variations, and then to a full model of a bridge expansion unit as an application example. The vibration of the beams in the design, the influence of the stiffness and the viscous damping coefficient of the supports were discussed, demonstrating the models' usefulness in helping with design optimization.

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Section: Introductionmentioning

confidence: 99%

“…Zhou et all studied the elastic behavior of ring-on-foundation [20]. However, analyses on beams under discrete viscoelastic supports are rare.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of continuous beams with discrete viscoelastic supports under sinusoidal loading

Wang

et al. 2014

International Journal of Mechanical Sciences

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“…The circumference vibration of the flexible belts can be featured as the one-dimensional tire model [14] (referred to as the radial deformation in the polar coordinate system), or the two-dimensional tire model [15] (referred to as the radial and tangential deformation in the polar coordinate system), while the cross-section vibration of the belts [16] is added to form the three-dimensional tire model (referred to as the radial, tangential, and lateral deformation [17] in polar coordinates). The stiffness dimension of the sidewall spring model is consistent with the belt dimension ranging from one dimension [18] to three dimensions [19]. The radial deformation resulting from the inflation pressure and bending stiffness of the flexible belt is validated to be the main influence factor within the low/medial frequency band.…”

Section: Introductionmentioning

confidence: 53%

Development of the Flexible Ring on an Elastic Continuous Foundation Tire Model for Planar Vibration of the Heavy Load Radial Tire

2018

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This paper investigates the planar vibration characteristic of heavy load radial tires with a large flat ratio. A proposed tire model with a flexible ring on an elastic continuous foundation is investigated utilizing kinematic modeling and experimental modal analysis. Planar coupling deformation of the radial and tangential direction is considered to enrich the kinematic characteristic of the flexible belt and the continuous sidewall; a flexible ring on an elastic continuous foundation tire model is proposed to investigate the coupling vibration characteristic between the flexible belt and the continuous sidewall. In-extensibility assumption is utilized to simplify the proposed tire model and the planar vibration modal features of the heavy load radial tire are discussed. The variation of the inflation pressure on the radial and tangential stiffness of the sidewall spring model is enriched into the flexible ring on an elastic continuous foundation tire model to extend the modal prediction of the tires with a different inflation pressure. Taking the relative error between the experimental and analytical modal resonance frequency of the tested tire with a different inflation pressure as the object value, structural parameters of the proposed tire model are identified by a backward genetic algorithm. Experimental and theoretical results show that: the planar coupling vibration characteristic of the heavy load radial tire can be predicted precisely with the flexible ring on an elastic continuous foundation tire model; meanwhile, considering the linear variations of the radial and tangential sidewall stiffness due to the inflation pressure, the proposed tire model can be extended to analyze the vibration characteristic of the heavy load radial tire with a different inflation pressure.

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“…A large number of researches have been conducted to study the nonlinear force-deformation relationship 23 and vibration characteristic. Common assumptions of sidewall are linear and uniformly distributed springs, and mechanical property of sidewall can be referred to the radial stiffness property by Zhou et al 24 and extended to twodimensional and three-dimensional stiffnesses. Analytical sidewall dynamics 23 is coupled with tread with the continuous displacement and force conditions.…”

Section: Introductionmentioning

confidence: 99%

In-plane vibration response of time and frequency domain with rigid-elastic coupled tire model with continuous sidewall

Liu

Gao

2017

Proceedings of the Institution of Mechanical Engineers, Part K:

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The in-plane vibration characteristic of time and frequency domain for heavy-loaded radial tire with a larger flat ratio (close to 1) is researched by utilizing the rigid-elastic coupled tire model with continuous sidewall. The sidewall bending stiffness is considered and the flexible beam on the elastic continuous beam tire model is proposed and investigated analytically to simulate the in-plane vibration of the heavy-loaded radial tire within more wider frequency band. The rigidelastic coupled tire model is derived with finite difference method and the analytical stiffness matrix; mass matrix is formed based on the geometrical and structural parameters of heavy-loaded radial tire. Structural parameters are identified utilizing genetic algorithm based on the error between the analytical and experimental modal frequency. Inplane frequency domain transfer function and time domain dynamics response of heavy-loaded radial tire is investigated and compared with the experimental result. Experimental and theoretical results show that in-plane rigid-elastic coupled tire model with sidewall bending stiffness can be used to precisely predict the transfer function and vibration feature within the frequency band of 300 Hz, compared with the tire model with the distributed independent sidewall element. The flexible beam on the elastic continuous beam tire model and rigid-elastic coupled tire model with continuous sidewall can be extended to the dynamic analysis of the tire with larger flat ratio or the tire under the impulsive loading conditions. Keywords Tire dynamics, heavy-loaded radial tire, flexible beam on elastic continuous beam tire model, rigid-elastic coupled tire model with continuous sidewall, sidewall bending stiffness Date

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Elastic behavior of ring-on-foundation

Cited by 16 publications

References 8 publications

Dynamic response of continuous beams with discrete viscoelastic supports under sinusoidal loading

Dynamic response of continuous beams with discrete viscoelastic supports under sinusoidal loading

Development of the Flexible Ring on an Elastic Continuous Foundation Tire Model for Planar Vibration of the Heavy Load Radial Tire

In-plane vibration response of time and frequency domain with rigid-elastic coupled tire model with continuous sidewall

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