Abstract: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 … Show more
“…The theoretical modeling of the heavy load radial tire with a large flat ratio was investigated with the flexible beam on an elastic continuous sidewall beam tire model [20] and planar experimental modal analysis was researched. To conclude, the prior research is introduced briefly in the following section.…”
Section: Theoretical Derivation Of the Two Dimension Tire Modelmentioning
confidence: 99%
“…Figure 1 illustrates the coupling vibration between the flexible belt and the continuous sidewall with the same direction. The vibration characteristic of heavy load radial tire was theoretically and experimentally investigated in the prior paper with the flexible beam on an elastic continuous sidewall beam tire model [20], in which the one-dimensional vibration characteristic, due to the radial deformation of the flexible belt, is considered, while the radial and tangential deformation of the flexible belt and the continuous sidewall is ignored. Considering the coupling feature between the radial and tangential deformations of the flexible belt, the flexible ring on an elastic continuous sidewall ring tire model is proposed and developed from the flexible beam on an elastic continuous sidewall beam tire model.…”
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.
“…The theoretical modeling of the heavy load radial tire with a large flat ratio was investigated with the flexible beam on an elastic continuous sidewall beam tire model [20] and planar experimental modal analysis was researched. To conclude, the prior research is introduced briefly in the following section.…”
Section: Theoretical Derivation Of the Two Dimension Tire Modelmentioning
confidence: 99%
“…Figure 1 illustrates the coupling vibration between the flexible belt and the continuous sidewall with the same direction. The vibration characteristic of heavy load radial tire was theoretically and experimentally investigated in the prior paper with the flexible beam on an elastic continuous sidewall beam tire model [20], in which the one-dimensional vibration characteristic, due to the radial deformation of the flexible belt, is considered, while the radial and tangential deformation of the flexible belt and the continuous sidewall is ignored. Considering the coupling feature between the radial and tangential deformations of the flexible belt, the flexible ring on an elastic continuous sidewall ring tire model is proposed and developed from the flexible beam on an elastic continuous sidewall beam tire model.…”
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.
“…The in-plane vibration modal of heavy-loaded radial tyre is investigated with flexible beam on elastic continuous sidewall beam tyre model 14 (Figure 2(a)) and some important assumptions are highlighted as: The inflation pressure is taken as constant and invariable;The in-plane characteristic only is presented and the lateral bulging of sidewall is ignored;Friction/longitudinal tyre creep is omitted;The flexible carcass tyre model briefly deals with issues of off-road tyre kinematic modeling and does not cover the condition of rutting, sinkage in soft soil, etc.…”
Section: Rigid-elastic Coupling Tyre Model With Continuous Sidewallmentioning
confidence: 99%
“…The structural parameters of the tyre kinematic equation are identified utilizing genetic algorithm (GA) taking the error between the experimental and analytical modal resonant frequency as the object value. Figure 2.Proposed tyre model for heavy-loaded radial tyre; 14 (a) flexible beam on elastic continuous sidewall beam tyre model; (b) rigid-elastic coupling tyre model with continuous sidewall.…”
Section: Rigid-elastic Coupling Tyre Model With Continuous Sidewallmentioning
In this study, combining the membrane feature with inflation pressure and the structural deformation caused by sidewall curvature, rigid-elastic coupling tyre model with analytical multi-stiffness sidewall is proposed for a heavy-loaded radial tyre with a large section ratio. The membrane pre-tension of sidewall arc resulting from inflation pressure is investigated. By means of virtual work principle, the structural deformation of sidewall curved arc resulting from the arc curvature, including stretching, bending and shearing deformation is derived. The structural stiffness caused by the sidewall curvature and membrane pre-tension caused by the inflation pressure are combined for the multi-stiffness sidewall model. The influence of the sidewall structural and geometrical parameters on the sidewall multi-stiffness, modal resonant frequency and transfer function is researched and discussed. The non-linear characteristic of sidewall multi-stiffness with respect to the sidewall radial deformation is investigated. Experimental and theoretical results show that: (1) the multi-stiffness of sidewall can characterise the membrane-tension stiffness caused by inflation pressure and the structural stiffness led by the sidewall curvature and material properties; (2) the different multi-stiffnesses of upper and lower sidewall arcs results from the different interval angles; (3) the multi-stiffness of sidewall is non-linear to the radial sidewall deformation. Taking the flexible deformation of tyre carcass and the analytical multi-stiffness of tyre sidewall into consideration, rigid-elastic coupling tyre model with multi-stiffness sidewall is suitable for the heavy-loaded radial tyre with a large section ratio or tyres under impulsive loading and large deformation.
“…Another problem is that it is unable to deal with dynamic problems and can't be used for comfort and fatigue load analysis. Structure-based tire models, [21][22][23] which can reflect the structural characteristics of tires, are a popular development trend, but they are only applicable to pneumatic tires. The theoretical basis of these models can be considered as the ring model, that is, the tire is simplified to a ring on the basis of elasticity, the elastic foundation represents the sidewall stiffness, and the ring represents the belt of the tire.…”
A novel flexible road wheel with hub-hinge-ring combined structure is introduced to improve the buffer damping performance and lightweight level of tracked vehicles. To balance computational efficiency and precision, an advanced rigid-flexible coupled model of the flexible road wheel is established using a hybrid modelling method combining finite element method and multi-body dynamics. The reliability and accuracy of the established rigid-flexible coupled model are verified by wheel static loading experiment. The modal flexible body of the elastic outer ring is developed by modified Craig-Bampton method and the simulated results are in good agreement with the experimental data. Based on the verified rigid-flexible coupled model, the dynamic characteristics of the flexible road wheel under typical operation conditions were investigated. The simulation results show that when the motion state changes, the elastic outer ring will produce a hysteretic angle with respect to the hub, delaying the transmission of torque. The system parameters have a greater effect on the vertical vibration of the flexible road wheel. The higher the vehicle speed, the more vibration will be caused, and the increase in the load and number of hinge groups will reduce the vibration. The research results provide reference for structure optimization of flexible road wheel and lay a foundation for flexible multi-body dynamic simulation of tracked vehicles with flexible road wheels.
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