机械弹性车轮径向刚度和阻尼模型的分析

摘要/Abstract

摘要： 针对新型机械弹性车轮刚度特性，利用曲梁理论建立了弹性基础封闭圆环曲梁模型，对车轮刚度与輮轮抗弯刚度、铰链组弹性基础刚度及激振频率之间的关系进行了分析。结合车轮静态和动态试验分析结果，验证了根据曲梁理论所建模型的正确性，并分析了车轮刚度与车轮变形量、变形速率及激振频率之间的解析关系。根据分析结果建立了车轮刚度和阻尼的非线性解析模型，该模型反映了车轮变形量和激振频率对车轮刚度的影响，以及车轮变形速率和激振频率对车轮阻尼的影响，从而为车轮结构振动的进一步研究提供指导。

关键词: 机械弹性车轮, 輮轮层合结构, 径向刚度, 阻尼特性, 非线性模型

Abstract: In view of the stiffness characteristics of the new mechanical elastic wheel, an elastic foundation closed circle curved beam model was established by curved beam theory. The relationships among the wheel stiffness and the elastic foundation stiffness of hinge group, bending stiffness of elastic wheel and excitation frequency were analyzed. Based on the static and dynamic test analysis results of wheel, the correctness of the curved beam model was validated, the numerical analytical relations among the wheel stiffness and deformation, deformation rate, excitation frequency were analyzed. The nonlinear analytical model for wheel stiffness and damping was established, and it could reflect the nonlinear effects of the wheel deformation, deformation rate and excitation frequency on the stiffness and damping. It provides a grounds for the further studies of vibration of the wheel structure.

Key words: mechanical elastic wheel, elastic wheel laminated structure, radial stiffness, damping characteristics, nonlinear model

中图分类号:

U463.3

王强, 赵又群, 杜现斌, 付宏勋. 机械弹性车轮径向刚度和阻尼模型的分析[J]. 中国机械工程.

Wang Qiang, Zhao Youqun, Du Xianbin, Fu Hongxun. Analyses of Radial Stiffness and Damping Model for Mechanical Elastic Wheel[J]. China Mechanical Engineering.

参考文献

[1]季学武，高义民，裘熙定，等. 轮胎动刚度和阻尼特性的研究[J]. 汽车工程，1994，16(5)：315-320.

Ji Xuewu, Gao Yimin, Qiu Xiding, et al. The Dynamic Stiffness and Damping Characteristics of the Tire[J]. Automotive Engineering, 1994, 16(5): 315-320.

[2]刘任先. 拖拉机轮胎刚度和阻尼特性研究[J]. 农业机械学报，1988，6（2）：17-24.

Liu Renxian. Study of Tractor Tire Stiffness and Damping Characteristics[J]. Transactions of the Chinese Society for Agricultural Machinery, 1988, 6(2): 17-24.

[3]周继铭，程悦荪，郑联珠，等. 轮胎刚度和阻尼非线性模型的研究[J]. 吉林工业大学学报，1992，22(3)：47-51.

Zhou Jiming, Cheng Yuesun, Zheng Lianzhu,et al. A Nonlinear Model for Tire Stiffness and Damping[J]. Journal of Jilin University of Technology, 1992, 22(3): 47-51.

[4]Kim Byoung Sam, Chi Chang Heon, Lee Tae Keun. A Study on Radial Directional Natural Frequency and Damping Ratio in a Vehicle Tire[J]. Applied Acoustics, 2007, 68(5): 538-556.

[5]Tonkovich A, Li Zhanbiao, DiCecco S, et al. Experimental Observations of Tyre Deformation Characteristics on Heavy Mining Vehicles under Static and Quasi-static Loading[J]. Journal of Terramechanics, 2012, 49(3/4): 215-231.

[6]Wang Wei, Yan Shan, Zhao Shugao. Experimental Verification and Finite Element Modeling of Radial Truck Tire under Static Loading[J]. Journal of Reinforced Plastics and Composites, 2013, 32(7): 490-498.

[7]Gruber P, Sharp R S， Crocombe A D. Friction and Camber Influences on the Static Stiffness Properties of a Racing Tyre[J]. Journal of Automobile Engineering, 2008, 222(11): 1965-1976.

[8]Ramji K, Goel V K, Saran V H. Stiffness Properties of Small-sized Pneumatic Tyres[J]. Journal of Automobile Engineering, 2002, 216(2): 107-114.

[9]Kim Kwangwon, Kim Seunghye, Kim Doo-Man， et al. Contact Pressure of Non-pneumatic Tires with Hexagonal Lattice Spokes[C]// Proceedings of the ASME 2011 International Mechanical Engineering Congress & Exposition. Denver, USA,2011：IMECE 2011-64233.

[10]Lee Chihun, Ju Jaehyung, Kim Doo-Man. The Dynamic Properties of a Non-pneumatic Tire with Flexible Auxetic Honeycomb Spokes[C]// Proceedings of the ASME 2012 International Mechanical Engineering Congress & Exposition. Houston, USA,2012：IMECE 2012-88199.

[11]Gasmi A, Joseph P F, Rhyne T B, et al. Development of a Two-dimensional Model of a Compliant Non-Pneumatic Tire[J]. International Journal of Solids and Structures, 2012, 49(13): 1723-1740.

[12]岳红旭，赵又群. 一种新型安全车轮的非线性有限元分析[J]. 中国机械工程，2012，23(11)：1380-1385.

Yue Hongxu, Zhao Youqun. Nonlinear Finite Element Analysis of a New Safety Wheel[J]. China Mechanical Engineering, 2012, 23(11): 1380-1385.

[13]汪伟，赵又群，黄超，等. 新型机械弹性车轮的建模与通过性研究[J]. 中国机械工程，2013，24(6)：724-729.

Wang Wei, Zhao Youqun, Huang Chao,et al. Modeling and Trafficability Analysis of New Mechanical Elastic Wheel[J]. China Mechanical Engineering, 2013, 24(6): 724-729.

[14]臧利国，赵又群，李波，等. 非充气机械弹性安全车轮静态径刚度特性研究[J].兵工学报，2015，36(2)：354-362.

Zang Liguo, Zhao Youqun, Li Bo,et al. Static Radical Stiffness Characteristics of Non-pneumatic Mechanical Elastic Wheel[J]. Acta Armamentarii, 2015, 36(2): 354-362.

[15]汪伟，赵又群，姜成，等. 新型机械弹性车轮的力学传递特性分析[J]. 江苏大学学报（自然科学版），2013，34(3)：261-266.

Wang Wei, Zhao Youqun, Jiang Cheng,et al. Characteristics Analysis of Mechanical Transmission for a New Mechanical Elastic Wheel[J]. Journal of Jiangsu University (Natural Science Edition), 2013, 34(3): 261-266.

[16] Lin K C, Hsieh C M. The Closed Form General Solutions of 2-D Curved Laminated Beams of Variable Curvatures[J]. Composite Structures, 2007, 79(4): 606-618.