【作者】 刘哲； 文璐； 何一超； 危银涛；

【Author】 Zhe LIU;Lu WEN;Yichao HE;Yintao WEI;State Key Lab.of Automotive Safety and Energy,Department of Automotive Engineering,Tsinghua University;

【机构】 清华大学汽车工程系汽车安全与节能国家重点实验室；

【摘要】 本文利用三维各向异性的环模型对轮胎的自由振动问题进行了分析和数值计算。考虑到轮胎的橡胶-帘线结构,轮胎被简化为弹性基础上的各向异性环。文中考虑了胎压导致的初始应力,并利用复合材料层合理论与一阶剪切理论,给出了环的三维位移模式和应变表达式。文中利用Hamilton变分原理和虚位移原理建立了轮胎的三维振动的动力学方程,并利用模态展开技术得到了固有频率的解析解。通过对轮胎自由振动模态的分析,解释了轮胎结构参数对轮胎固有频率的影响。为了验证模型的准确性,文中将理论计算结果与有限元结果进行对比,发现两者吻合良好,从而证明了文中提出的模型的准确性与可靠性。更多还原

【Abstract】 In the present study,a new three-dimensional free vibration model of tires is proposed,to predict the natural frequencies of tires which are ring-like laminated composite structures. In order to verify the proposed model,the tire body was considered as a steel-rubber laminated composite ring. The sidewall was treated as an elastic foundation. Considering the Timoshenko beam theory,the ring is shear deformable with a shear strain constant through the thickness. The kinematics of the ring,including the warping mode of the cross sections,is specified in terms of five deformation variables. The equilibrium equations are derived by using the principle of virtual displacements. The mode expansion method was used to get the analytical solutions of the natural frequencies of tires. The results of natural frequencies are compared with the previous model and the results of the finite element method and show a good agreement,showing the accuracy and feasibility of the new model. The model also can be applied to those ring-like structures.更多还原