高速圆柱滚子轴承非线性刚度分析

在航空发动机高速圆柱滚子轴承拟静力学分析基础上，建立基于轴承径向游隙的高速圆柱滚子轴承非线性刚度计算模型，分析了轴承内、外圈转速对高速圆柱滚子轴承工作径向游隙影响的关系，并对高速圆柱滚子轴承非线性刚度特性进行了研究，最后就某型号航空发动机主轴高速圆柱滚子轴承进行了实例计算与分析，得出在满足主机支承刚度条件下的合理高速圆柱滚子轴承工作径向游隙使用范围。     

考虑滚子位置变化的圆柱滚子轴承非线性刚度特性分析

以圆柱滚子轴承为研究对象,考虑轴承运转过程中滚子周向位置分布的周期性变化,对经典圆柱滚子轴承载荷分布理论进行改进,并对由此引起的轴承刚度时变特性进行分析,同时研究圆柱滚子轴承平均刚度及平均接触滚子数随径向力的非线性变化规律。为了对改进理论算法进行验证,采用有限元接触分析方法对圆柱滚子轴承刚度及滚子接触状态进行分析。研究结果表明,改进理论算法和有限元接触法均能准确预测轴承瞬时刚度的时变特性及平均刚度随径向力的非线性变化特性,同时证明轴承平均接触滚子数的改变是轴承刚度变化的根源。基于改进理论算法进而分析轴承初始径向游隙、径向力、滚子设计数量等关键参数对圆柱滚子轴承性能的定量影响规律。     

发动机圆柱滚子轴承载荷分析及刚度计算

在发动机圆柱滚子轴承拟静力学分析的基础上,建立了基于轴承径向游隙和油膜厚度的圆柱滚子轴承刚度计算模型。研究了圆柱滚子轴承的刚度特性,分析了圆柱滚子轴承的载荷分布和受载变形情况,为发动机轴系有限元分析中边界条件的处理提供了依据。     

弹性复合圆柱滚子轴承静态径向刚度分析

从弹性复合滚子轴承的基本结构形式出发,结合当前关于实心圆柱滚子轴承和空心圆柱滚子轴承的研究方法,对弹性复合圆柱滚子轴承的静态径向刚度进行了深入细致的研究,用ABAQUS软件建立了弹性复合圆柱滚子轴承径向刚度的有限元计算模型,分析了填充度、外载荷、滚子数对径向刚度的影响规律,并和空心圆柱滚子轴承的刚度进行了比较。计算结果表明：填充度越小,随着外载荷的增大刚度的提升幅度越大,滚子数的增加对轴承的刚度提升幅度越大;填充度越大,随着外载荷的增大刚度的提升幅度越小,滚子数的增加对轴承的刚度提升幅度越小。弹性复合圆柱滚子轴承和空心圆柱滚子轴承比较时,填充度（空心度）越大,两者的刚度相差越大。     

无预负荷弹性复合圆柱滚子轴承静态径向刚度试验研究

设计了无预负荷弹性复合圆柱滚子轴承静态径向刚度的试验方案,对无预负荷弹性复合圆柱滚子轴承的静态径向刚度进行了试验研究,将静态径向刚度的试验值和计算值进行比较,分析了径向载荷和填充度对静态径向刚度的影响。试验结果验证了无预负荷弹性复合圆柱滚子轴承的静态径向刚度的计算模型具有较高的可靠性,同时得出了填充度和径向载荷对无预负荷弹性复合圆柱滚子轴承静态径向刚度的影响规律。     

圆柱滚子结构有限元分析及优化

在圆柱滚子轴承中由于空心滚动体可以吸收振动、避免发生边缘应力集中以及降低高速转动时的离心力,因此,对圆柱滚子轴承的滚动体空心进行了优化分析,建立了空心滚动体的参数化模型,在ANSYS软件中进行有限元结果分析,得到滚子的位移、应力变化分布图。应用ANSYS优化分析模块,对滚子几何尺寸进行了优化,得到了以质量最轻为目标,以满足强度、刚度条件的空心滚动体的尺寸。     

弹性复合圆柱滚子轴承动态径向刚度分析

针对弹性复合圆柱滚子轴承的特殊结构形式,对弹性复合圆柱滚子轴承的动态刚度进行深入细致的研究。利用有限元软件对其单个滚子的瞬时受力变形情况进行分析,得出不考虑润滑时轴承的刚度公式,由Dowson-Higginson油膜厚度公式推导出油膜刚度公式。总结出弹性复合圆柱滚子轴承的动态刚度计算模型,分析了填充度、径向载荷、滚子数和转速对径向刚度的影响规律。结果表明,弹性复合圆柱滚子轴承的动态刚度随轴承旋转呈周期性波动,刚度随着填充度的增加而减小;刚度随着载荷的增大而增大,刚度增幅随着载荷的增大逐渐减小;滚子数越大刚度增幅越小;转速越大,刚度减小趋势越大。     

预负荷空心圆柱滚子轴承刚度分析

根据预负荷空心圆柱滚子轴承变形协调条件,建立了轴承内圈的平衡方程,运用卡氏定理确定了滚子的负荷和变形间的关系式,据此导出了预负荷空心圆柱滚子轴承的刚度计算公式,依据此公式对某型号轴承刚度进行分析研究,结果表明:预负荷空心圆柱滚子轴承的刚度与外载荷无关,且随着空心度的增大而减小,随着滚子个数的增加而增大。     

预载荷空心圆柱滚子轴承的动态刚度分析

对预载荷空心圆柱滚子轴承的动态刚度进行了分析.在考虑经典Hertz弹性接触、空心滚子变形和润滑的基础上,建立了滚子-滚道接触副的接触模型.进而在考虑离心力的情况下,计算了预载荷空心圆柱滚子轴承的动态刚度,得到轴承的刚度是随内圈旋转而周期性波动的,并分析了外载荷、空心度、过盈量和滚子个数对轴承动态刚度的影响.     

空心圆柱滚子轴承刚度分析

从空心圆柱滚子轴承变形协调关系出发,通过受力分析,建立各滚子载荷和外负荷的力学平衡方程,再运用当量弹性模量的方法,由帕姆格林公式确定负荷与变形间的关系式,求解了空心圆柱滚子轴承的负荷分布,据此导出了空心圆柱滚子轴承刚度的计算公式,并深入地分析了滚子空心度、外负荷、轴承转速和滚子数等对刚度的影响规律。研究结果表明：空心圆柱滚子轴承的刚度随空心度的增大而减小,随滚子个数的增加而增大,且外负荷和轴承转速会根据滚子的不同空心度表现出不同的变化规律。
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Analysis of High-Speed Intershaft Cylindrical Roller Bearing with Flexible Rings

For high-precision mechanisms such as machine tools or gas-turbine engines, which operate at extreme conditions, it is particularly important to accurately predict the behavior of the included bearing. This prediction includes, among other things, its load distribution, stiffness, and power dissipation. Although shaft speeds tend to increase, rings and shaft walls are becoming thinner due to size and weight constraints. Thus, bearing behavior is no longer independent of the housing and ring stiffness. This paper focuses on the problem of elastic ring deformation and certain behaviors of high-speed intershaft cylindrical roller bearings such as heat dissipation, contact pressure, and risk of bearing failure due to scuffing. The paper presents an analytical method to account for the structural deformation of the rings based on Roark's formulas. The elastic deformation of thin cylindrical rings has been introduced in the set of displacement and load equations that describes the bearing equilibrium. A correlation with a high-speed intershaft cylindrical roller bearing application is made and the results are compared with those obtained with the finite element method for housing deformations. Heat dissipation, load distribution, contact pressure, and internal kinematics are discussed to evaluate co-rotating and contrarotating shaft design solutions.     

Analysis of High-Speed Cylindrical Roller Bearings Using a Full Elastohydrodynamic Lubrication Model Part 2: Results

The kinematic and dynamic characteristics of high-speed cylindrical roller bearings are analyzed using the elastohydrodynamic (EHD) lubrication model developed in Part I of this two-part paper. The internal load distribution, bearing stiffness, running torque, and amount of roller skidding are calculated under various operating conditions. Effects of manufacturing imperfections are also analyzed in terms of outer-raceway waviness and roller diameter tolerance. Results obtained through case studies indicate that the behavior of the bearing can be significantly affected by EHD lubrication in the roller-raceway contacts.     

基于滚道表面粗糙的高速圆柱滚子轴承弹流的理论分析

建立了基于表面粗糙的高速圆柱滚子轴承非稳态时变热弹流分析模型,分析了轴承滚道与滚动体接触表面粗糙度幅值大小及其方向对轴承弹流性能的影响。理论分析表明：轴承接触表面粗糙纹理方向、粗糙度幅值及其粗糙度波长对高速圆柱滚子轴承的弹流特性具有显著的影响;合理选择轴承接触表面粗糙度幅值、波长及纹理方向,可以有效改善高速圆柱滚子轴承的弹流特性。     

基于接触非线性的滚动轴承结构优化设计

利用ANSYS的参数化设计语言APDL创建了圆柱滚子轴承的模型,对滚子与套圈之间的线接触问题进行有限元分析,并在此基础上对滚子结构进行优化设计,在保证轴承的承载能力和刚度的情况下,减小滚子的质量,在一定程度上减小了轴承高速运转时的离心力,从而降低外圈破坏的机率。该方法同样适用于其它类型轴承的优化设计,提高了设计效率,为滚子轴承的设计提供一定的依据。     

圆柱滚子轴承磨损及可靠性寿命的数值仿真

基于离散数学和计算机技术,结合滚动轴承动力学理论,以圆柱滚子轴承摩擦副磨损状态为研究对象,依据零件磨损过程通用的数值仿真方法,建立圆柱滚子轴承磨损的数值仿真模型,提出具体的算法方案,对其磨损寿命及可靠度进行预测.结果表明:数值仿真方法可以将连续的磨损问题进行离散化处理,从而解决经典数学微积分方法无法解决的动态和非线性磨损问题,所建立的方法具有良好的工程应用前景.     

高速圆柱滚子轴承弹流润滑研究现状与发展

从弹流润滑理论和实验技术两个方面综述高速圆柱滚子轴承弹流润滑研究现状，并指出现有研究所存在的问题，及未来高速圆柱滚子轴承弹流润滑研究的方向。     

On the Dynamics of Lubricated Cylindrical Roller Bearings,Part II: Linear and Nonlinear Vibration Analysis

This article is the second part of two companion papers. In the first article, curve-fitted relations of stiffness and damping coefficients of a single roller-to-race contact of lubricated roller bearings were developed. In the present work, these relations are applied to a rotor–bearing system. Two cases are studied to investigate the influence of lubricated cylindrical roller bearings on the vibration characteristics of the rotor system. In the first case, lubricated contacts are simulated as a linear spring–damper model. The overall stiffness and damping matrices are calculated by using the dynamic coefficients of individual load sharing rollers. These matrices are used in the finite element analysis of flexible rotor. In the second case, the nonlinear structural vibration of a lubricated cylindrical roller bearing is studied. Equations of motion of bearing elements are derived using the Lagrange equation. A nonlinear load–deflection contact model developed through the derived curve-fitted relations of dynamic coefficients is used in the equations of motion. Equations of motion are solved by a fourth-order Runge-Kutta integration method. The response of bearing elements under free vibration and due to rotating unbalance is studied for damped and undamped cases. Furthermore, results obtained using elastohydrodynamic finite and infinite contact theories are compared.