In non-conforming rolling contact, the contact stress is highly concentrated in the contact area. However, there are some limitations of the special contact model and stress model used for the theoretical study of the...In non-conforming rolling contact, the contact stress is highly concentrated in the contact area. However, there are some limitations of the special contact model and stress model used for the theoretical study of the phenomenon, and this has prevented in-depth analysis of the associated friction, wear, and failure. This paper is particularly aimed at investigating the area of rolling contact between a sphere and a cone, for which purpose the boundary is determined by the Hertz theory and the geometries of the non-conforming surfaces. The phenomenon of stick-slip contact is observed to occur in the contact area under the condition of no-full-slip（Q 〈 μ·P）. Using the two-dimensional rolling contact theory developed by CARTER, the relative positions of the stick and slip regions and the distribution of the tangential force over the contact area are analyzed. Furthermore, each stress component is calculated based on the Mc Ewen theory and the idea of narrow band. The stress equations for the three-dimensional rolling contact between the sphere and the cone are obtained by the principle of superposition, and are used to perform some numerical simulations. The results show that the stress components have a large gradient along the boundary between the stick and slip regions, and that the maximum stress is inversely proportional to the contact coefficient and proportional to the friction coefficient. A new method for investigating the stress during non-classical three-dimensional rolling contact is proposed as a theoretical foundation for the analysis of the associated friction, wear, and failure.展开更多
通过径向微动的数值模拟,研究了径向微动磨损过程中的力学行为和损伤机理.以球(Si3N4)-平板(Vita Mark II)模型为研究对象,通过Hertz理论分析,得到球和平板的接触半径、法向分布力之间的关系.应用Ansys软件建立有限元模型,计算得到接触...通过径向微动的数值模拟,研究了径向微动磨损过程中的力学行为和损伤机理.以球(Si3N4)-平板(Vita Mark II)模型为研究对象,通过Hertz理论分析,得到球和平板的接触半径、法向分布力之间的关系.应用Ansys软件建立有限元模型,计算得到接触表面的应力、应变和滑移分布.研究结果表明:滑动区摩擦因数对粘着区应力、应变影响不大,但对滑动区应力、应变、滑移量造成的影响比较明显,必须考虑;采用弹性模量和泊松比相近的材料为对摩副时,可减小相对滑移量,降低磨损;在滑动区,特别是在接近接触边缘区域,滑移量较大,与实验结果吻合.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.51275140)
文摘In non-conforming rolling contact, the contact stress is highly concentrated in the contact area. However, there are some limitations of the special contact model and stress model used for the theoretical study of the phenomenon, and this has prevented in-depth analysis of the associated friction, wear, and failure. This paper is particularly aimed at investigating the area of rolling contact between a sphere and a cone, for which purpose the boundary is determined by the Hertz theory and the geometries of the non-conforming surfaces. The phenomenon of stick-slip contact is observed to occur in the contact area under the condition of no-full-slip（Q 〈 μ·P）. Using the two-dimensional rolling contact theory developed by CARTER, the relative positions of the stick and slip regions and the distribution of the tangential force over the contact area are analyzed. Furthermore, each stress component is calculated based on the Mc Ewen theory and the idea of narrow band. The stress equations for the three-dimensional rolling contact between the sphere and the cone are obtained by the principle of superposition, and are used to perform some numerical simulations. The results show that the stress components have a large gradient along the boundary between the stick and slip regions, and that the maximum stress is inversely proportional to the contact coefficient and proportional to the friction coefficient. A new method for investigating the stress during non-classical three-dimensional rolling contact is proposed as a theoretical foundation for the analysis of the associated friction, wear, and failure.
文摘通过径向微动的数值模拟,研究了径向微动磨损过程中的力学行为和损伤机理.以球(Si3N4)-平板(Vita Mark II)模型为研究对象,通过Hertz理论分析,得到球和平板的接触半径、法向分布力之间的关系.应用Ansys软件建立有限元模型,计算得到接触表面的应力、应变和滑移分布.研究结果表明:滑动区摩擦因数对粘着区应力、应变影响不大,但对滑动区应力、应变、滑移量造成的影响比较明显,必须考虑;采用弹性模量和泊松比相近的材料为对摩副时,可减小相对滑移量,降低磨损;在滑动区,特别是在接近接触边缘区域,滑移量较大,与实验结果吻合.
