Vibration analysis of a wheel composed of a ring and a wheel-plate modelled as a three-parameter elastic foundation

Noga, Stanisław; Bogacz, R.; Markowski, Tadeusz

doi:10.1016/j.jsv.2014.07.019

Cited by 17 publications

(22 citation statements)

References 19 publications

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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: 52%

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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Section: Introductionmentioning

confidence: 52%

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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“…The small displacements in these directions are denoted    , respectively, and t is time. Similarly as in paper [2], the foundation is formulated by the special three-parameter Winkler model. The coefficients k f , k p and k S represent the radial and tangential stiffness per length unit, and the ring cross-section angle rotation stiffness modulus, respectively.…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…The ten node tetrahedral element (solid187) with three degrees of freedom in each node is utilized to solve the considered problem. The proper value of the substitute mass density  z of the ring system is selected during simulation to minimise the so-called frequency error defined by [2]  …”

Section: The Finite Element Representationmentioning

confidence: 99%

“…The vibration theory of thin rings with wheel-plate as an elastic foundation finds application in several fields of engineering including the railway and aviation industries, and others [1,2,6]. The fundamental vibration theory of circular rings is presented in monograph [5].…”

Section: Introductionmentioning

confidence: 99%

“…The introductory investigation related to the systems of the rings with wheel-plate as the elastic foundation are conducted in articles [3,4]. In paper [2] the analytical model of foundation which consists of a special three-parameter Winkler elastic foundation is proposed. In the present paper the free in-plane flexural vibration of a circular ring with 132 S. Noga wheel-plate as a special three-parameter elastic foundation is studied using the classical thin ring theory, and the finite element (FE) formulation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibration analysis of a thin ring interacting with the annular plate treated as an elastic foundation

Noga

2014

JCEEA

Self Cite

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In this paper the free in-plane flexural vibration of a thin ring with elastic foundation of a Winkler type is analysed on the basis of the analytical and numerical methods. Mathematical model of the three-parameter elastic foundation is proposed. The separation of variables method is used to obtain the general solution of the considered system free vibration. Then the eigenvalue problem is solved by using the finite element method. Natural frequencies and normal modes of the system vibration are determined. The achieved results of calculation are discussed and verified by experimental data. FE model is formulated by using ANSYS software. It is important to note that the problems discussed in the paper bring practical advice for engineers dealing with dynamics of circular ring systems like aviation gears and railway wheels, respectively.

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Preparation of finely macroporous SiOC foams with high mechanical properties and with hierarchical porosity via pyrolysis of a siloxane/epoxide composite

Strachota

Černý

Chlup

et al. 2015

Ceramics International

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Vibration analysis of a wheel composed of a ring and a wheel-plate modelled as a three-parameter elastic foundation

Cited by 17 publications

References 19 publications

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

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

Vibration analysis of a thin ring interacting with the annular plate treated as an elastic foundation

Preparation of finely macroporous SiOC foams with high mechanical properties and with hierarchical porosity via pyrolysis of a siloxane/epoxide composite

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