The study investigates the kinematic characteristic of the radial tire with a large section ratio with the analytical elastic foundation modeling. A proposed tire model with a flexible belt on an elastic analytical stiffness foundation considering the coupled feature between the radial and tangential of the tire carcass is investigated. the analytical two-dimension multi-stiffness function of a large section ratio sidewall is expanded from the radial function. The grounding modeling with the flexible carcass is discussed and the changed stiffness of the tire sidewall resulting from the structure is researched. The experimental and theoretical results indicate the following: (1) the radial and tangential stiffness function of the curved sidewall is related to the inflation pressure, structural curvature, and material properties; (2) the flexible carcass tire model with the non-linear elastic foundation can exactly character the stiffness and grounding feature, and the maximum error with the elastic foundation tire model is reduced by 5.8%.
LIU Zhihao, MA Chaoqun, FENG Haoran, LIU Xiuyu, GAO Qinhe.
2-D stiffness modeling of tire sidewall with a large flat ratio and verification of tire deformation characteristics[J]. Journal of Vibration and Shock, 2025, 44(7): 86-95
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参考文献
[1]Amir S,Avesta G,Mohamad H S.Optimizing Tire Vertical Stiffness Based on Ride,Handling,Performance,and Fuel Consumption Criteria.Journal of Dynamic Systems,Measurement,and Control,2015,137(12):121004.
[2] Alireza P,Subhash R,Cao D P.Modeling and validation of off-road vehicle ride dynamics [J].Mechanical Systems and Signal Processing,2012,(28):679-695.
[3] Li B,Yang X,Yang J.Tire model application and parameter identification-A literature review[J].SAE International Journal of Passenger Cars-Mechanical Systems,2014,7(2014-01-0872):231-243.
[4] L. Li,K.Yang,G.Jia,et al.Comprehensive tire–road friction coefficient estimation based on signal fusion method under complex maneuvering operations[J].Mechanical Systems and Signal Processing,2015,(56-57):259-276.
[5] 危银涛,冯希金,冯启章,等.轮胎动态模型研究的进展[J].汽车安全与节能学报,2014,5(4):311-523.
WEI Y T, FNEG X J, FENG Q Z. State of the art for tire dynamical model research [J]. Journal of Automotive Safety and Energy,2014,5(4):311-523.
[6] Lee J,Wang S,Pluymers B,et al.A modified complex modal testing technique for a rotating tire with a flexible ring model[J].Mechanical Systems and Signal Processing,2015,60:604-618.
[7] 赵又群,李小龙,张明杰,等.机械弹性车轮随机振动理论与数值分析[J].哈尔滨工业大学学报,2015,47(7):47-51.
ZHAO Y Q,LI X L,ZHANG M J. Theoretical and numerical analysis on the random vibration of mechanical elastic wheel[J].Journal of harbin institute of technology,2015,47(7):47-51.
[8] Liu Z.H,Gao Q.H..Development and parameter identification of the flexible beam on elastic continuous tire model for a heavy-loaded radial tire [J].Journal of Vibration and Control,2018:1077546317749674.
[9] Muggleton J M,Mace B R,Brennan M J.Vibrational response prediction of a pneumatic tyre using an orthotropic two-plate wave model[J].Journal of Sound and Vibration,2003,264(4):929-950.
[10] R.J. Pinnington.A wave model of a circular tyre. Part 2: side-wall and force transmission modelling[J].Journal of Sound and Vibration,2006,(290):133-168.
[11] Lecomte C,Graham W R,Dale M.A shell model for tyre belt vibrations[J].Journal of Sound and Vibration,2010,329(10):1717-1742.
[12]. Zhou F,Yu T X,Yang L.Elastic behavior of ring-on-foundation[J].International Journal of Mechanical Sciences,2012,54(1):38-47.
[13]. Liu Z H,Gao Q H.In-plane vibration analysis of heavy-loaded radial tire utilizing the rigid-elastic coupling tire model with normal damping[J].Journal of Vibroengineering,2018,20(1):573-590.
[14]. Liu Z.H,Gao Q.H..In-plane vibration response of time and frequency domain with rigid-elastic coupled tire model with continuous sidewall [J].Proceedings of the Institution of Mechanical Engineers,Part K:Journal of Multi-body Dynamics,2017:1464419317744681.
[15]. Pacejka H.Tire and vehicle dynamics[M].Elsevier,2005.
[16] Sunrong G,Arvin R. Savkoor.The Influence of Boundary Conditions on the Vibration Transmission Properties of Tires[J].SAE Technical Paper,1993:931280.
[17] Liu Z.H,Gao Q.H..Analytical investigation on tire dynamics by rigid-elastic coupled tire model with nonlinear sidewall stiffness [J].Journal of the Brazilian Society of Mechanical Sciences and Engineering,2018,40 (2):80.
[18] Noga S,Bogacz R,Markowski T.Vibration analysis of a wheel composed of a ring and a wheel-plate modelled as a three-parameter elastic foundation[J].Journal of Sound and Vibration,2014,333(24):6706-6722.
[19] 刘志浩,刘钇汛,高钦和. 基于解析弹性基础的重载轮胎动力学建模与分析[J]. 机械工程学报, 2021,57(19):102-112.
LIU Zhihao,LIU Yixun,GAO Qinhe. Kinematic Modeling and Analysis of the Tire Model with the Analytical Elastic Foundation for the Heavy-Loaded Radial Tire[J]. Journal of mechanical engineering , 2021,57(19):102-112.
[20] Liu Z.H,Gao Q.H..Development of flexible belt on elastic multi-stiffness foundation tire model for heavy load radial tire with a large section ratio [J]. Mechanical Systems and Signal Processing,2019,(123):43-67.