Theoretical investigations on the performance of an externally adjustable fluid-film bearing including misalignment and turbulence effects

An externally adjustable fluid-film bearing has been devised whereby the hydrodynamic conditions can be changed as required in a continuously controlled manner. Principal feature of the externally adjustable pad bearing is the facility to control the bearing clearance and film thickness gradient in circumferential direction, irrespective of the operating conditions. Unlike a tilting pad bearing, this bearing can have both radial and tilt adjustments. A single pad externally adjustable pad bearing will perform as a conventional partial arc bearing when the adjustments are set to zero.The paper deals with the effect of turbulence and misalignment on steady state characteristics of a centrally loaded 120° single pad externally adjustable bearing. The bearing has an aspect ratio of one and operates over a wide range of eccentricity ratios with adjustments and degrees of misalignment. Reynolds equation incorporated with linearized turbulent lubrication model of Ng and Pan is solved using a finite difference method. Static performance characteristics calculated are presented in terms of attitude angle, Sommerfeld number, friction variable, misalignment moment and oil flow. A study with various adjustments predicts that negative radial and negative tilt adjustment configuration results in superior static characteristics as compared to a conventional fluid-film bearing.     

基于多物理场耦合的可倾瓦滑动轴承性能优化分析

针对大型可倾瓦滑动轴承的湍流效应和瓦块变形,基于COMSOL和MATLAB的联合仿真构建三维热弹流体动力润滑模型.模型中,考虑湍流的修正雷诺方程、能量方程和热传导方程的计算采用COMSOL偏微分方程物理场模块实现,瓦块变形计算采用COMSOL中热应力物理场模块实现,多物理场耦合和计算过程控制利用MATLAB实现.基于所...     

多叶动压气体滑动轴承静态特性的有限差分算法

多叶动压气体滑动轴承因其结构简单、摩擦阻力低、旋转精度高和无环境污染等优点,在高速离心分离机、空气压缩机和透平膨胀机等旋转机械中应用广泛。为探究多叶动压气体滑动轴承的静态性能,通过数学变换将三叶动压轴承的气体润滑Reynolds方程转化为标准偏微分方程形式,利用有限差分法和超松弛迭代法进行数值求解,研究气膜厚度和气膜压力分布、承载力、摩擦因数和质量流量等静态性能,随偏心率、预负荷系数、轴承数、长径比及瓦块分布位置的变化规律。结果表明：三叶轴承的承载力和轴颈表面摩擦因数随偏心率和长径比的增加而增加,而偏位角和质量流量随偏心率和预负荷系数的增加则呈现出相反的变化趋势;随着轴承数和预负荷系数的增大,承载力和摩擦因数显著提高,偏位角和质量流量则逐渐减小;瓦块分布位置对三叶动压气体滑动轴承的静态性能影响显著,其中瓦上承载方式的承载力、偏位角和质量流量明显高于瓦间承载方式。     

考虑支点偏置的多孔质可倾瓦轴承静态特性分析

为探究瓦块支点偏置对多孔质可倾瓦轴承静态性能的影响,建立多孔质可倾瓦轴承的热混合润滑模型,应用Fluent软件分析轴承静态特性;采用网格迭代算法和瓦块运动UDF对轴承各瓦块沿枢轴运动及摆动进行模拟,研究偏心率、转子转速、供气压力及枢轴支点偏置对轴承负载能力、质量泄漏量、摩擦扭矩和温升的影响。结果表明：增加轴承支点偏置可提高轴承承载力,特别是在高偏心率、高转速、低供气压力条件下,承载力提高更为明显;在偏心率和转速相同时,适当的支点偏置可显著降低轴承对气体的消耗：但支点偏置会增加摩擦力矩,使转子温度升高,应合理选择支点偏置避免温升对轴承的不利影响。研究结果为多孔质可倾瓦轴承的优化设计提供了参考。     

静压孔位置对油膜支承可倾瓦轴承承载性能的影响分析

为了提高汽轮机转子系统中支承轴承的油膜刚度,以三瓦油膜支承可倾瓦轴承为研究对象,研究静压孔相对位置对轴承承载性能的影响规律。建立了油膜支承可倾瓦轴承油膜润滑模型,并运用计算流体动力学方法数值求解三维N-S方程,揭示了不同静压孔相对位置下轴承压力分布、最小膜厚、偏心率、刚度等性能参数的变化规律。分析结果表明：在载荷为890 N的情况下,改变孔的位置可以提高轴承油膜刚度;当静压孔相对位置γ=5°左右时,孔位置接近油膜最大压力分布区,与γ=0°时相比,最小膜厚和偏心率分别减小9.8%和48%,主刚度kyy、kxx接近原结构的1.4倍和1.1倍,此时静压孔位置为相对最优位置区域。依据分析结果开发了新型油膜支承可倾瓦轴承（γ=5°）,通过试验对比分析了普通滑动轴承与新型油膜支承可倾瓦轴承的综合性能,结果表明,高转速时所开发的新型油膜支承可倾瓦轴承具有更好的承载性能与减振性能。研究结果对油膜支承可倾瓦轴承的性能分析具有一定的参考价值,设计轴承静压孔时可根据油膜压力分布规律对其优化以提高轴承性能。     

Measured Performance of Tilting-Pad Journal Bearings over a Range of Preloads—Part I: Static Operating Conditions

This article presents the measured static characteristics for five tilting-pad journal bearings with a range of preload factors. The bearings had five shoes with static forces applied both on the pad and between pads. The journal diameter was 70 mm, with a length-to-diameter ratio of 0.75, a pivot offset ratio of 0.50, and a nominal assembled radial clearance of 81.3 μm. The rocker-backed pads have nominal radial machined clearances of 176.8, 114.3, 91.4, 73.7, and 61.0 μm. These clearances constitute a range of preloads from ?0.333 to 0.540. Most tilting pad bearings are intentionally designed with positive preloads, although with pivot wear and/or pad and pivot distortion or machining tolerances, bearings can operate with zero or negative preloads. Measured results for bearings with negative preload factors have not previously been available. Measurements reported here were made for a variety of speed-load conditions encompassing a Sommerfeld number of 0.1 to 4.5. The measured parameters are eccentricity magnitude, attitude angle, film thickness, and temperatures sufficient to define thermal boundary conditions. Also measured are oil supply pressure, flow rate, and on-shaft pressure profiles. The focus of the work presented herein is to quantify the influence of preload on film thickness, maximum pad temperature, and eccentricity magnitude and attitude angle. Measurements showed preload had a moderate influence on operating eccentricity but not on attitude angle. Negative preloads resulted in the greatest temperature rise, although all temperature rises were relatively small.     

刚性和弹性支撑可倾瓦推力轴承稳态特性分析

建立刚性球头支撑和弹性橡胶垫支撑可倾瓦推力轴承热弹流耦合模型；在弹性橡胶垫支撑可倾瓦推力轴承橡胶垫的弹性变形分析中采用了变形协调矩阵方法，以协调匹配橡胶垫变形和水膜厚度分布，同时在搜索稳态解的过程中引入模拟退火算法；基于变分原理求解Reynolds方程，得到了轴承水膜压力分布，并比较2种推力轴承在转子存在角不对中时的静特性。结果表明：理想工况下，刚、弹支可倾瓦推力轴承稳态特性没有明显区别；当转子存在不对中时，刚性球头支撑可倾瓦轴承在不同瓦块之间受力偏载严重，进而导致瓦面最小水膜厚度过小，瓦块容易出现磨损，而弹性支撑瓦不同瓦块之间水膜力分布更均匀，利于轴承的长期可靠运行。     

支点弹性、阻尼可倾瓦轴承动力特性数值仿真及试验研究

依据考虑瓦块摆动和沿几何预载荷方向微幅振动的可倾瓦轴承完全动力特性的解析模型及其对应的八参数简化动力模型,设计制备了支点弹性、阻尼特性可倾瓦轴承。该轴承通过在瓦块支点与轴承体之间设置弹性垫片,使瓦块支点支撑在弹性垫片上,弹性垫片与轴承体之间存在微小间隙并与轴颈润滑系统共享油路以实现局部挤压油膜效应。根据不同加工工艺,制备了两种形式的新型支点弹性、阻尼轴承,并通过理论计算模拟与试验分析对两种新型轴承的动力特性进行研究。结果表明,支点弹性、阻尼可倾瓦轴承能够增大转子的一临界阻尼,有效提高转子系统稳定性。     

一种基于CAT的滑动轴承特性测试方法

为解决滑动轴承性能测试中存在的实验数据多、实验涉及因素复杂、可控性差等问题,本文提出了一种基于CAT(计算机辅助实验)的滑动轴承特性测试方法,并针对四瓦可倾瓦轴承进行了实验研究。实践证明,采用这种方法提高了实验结果的可靠性,缩短了整个实验周期。     

对具有可倾瓦块和固定瓦块的混合型径向滑动轴承性能分析

本分析计算了顶部瓦块固定的可倾瓦径向滑动轴承（简称混合型轴承）的性能参数,与相同尺寸的可倾瓦径向滑动轴承相比,该种混合型轴承在承载能力,流量,摩擦功耗,平均温升等方面都发生了变化,具有明显的特点,最后的验测试验证了本所采用的分析计算方法是可行的。     

超临界二氧化碳动静压径向可倾瓦轴承实验台设计与实验研究

针对超临界二氧化碳(S-CO₂)动力机组在启动和停止阶段气体轴承产生非常大的摩擦磨损,以及气体轴承承载力低、刚度低、阻尼小、稳定性较差等问题,设计并改进一种新型动静压S-CO₂润滑径向可倾瓦轴承结构。设计并搭建S-CO₂润滑轴承实验台,针对于实验台转子刚启动和极低转速工况,对新型S-CO₂润滑动静压径向轴承在静压状态下的动态特性进行实验研究,得到轴承的动态刚度和动态阻尼,并分析静压对轴承动态性能的影响。实验结果表明,设计的S-CO₂动静压径向可倾瓦轴承在启停阶段,在轴瓦与轴颈之间产生了足够的静压压力,可将二者完全分隔开,从而能减少启停阶段的摩擦磨损;随着静压压力的增大,轴承X、Y方向上的整体刚度、主阻尼都增大,且2个方向的主刚度系数差别不大,而交叉刚度和交叉阻尼都接近于0。研究结果为进一步揭示S-CO₂润滑径向轴承动压状态特性提供参考。     

Comparison of power loss and pad temperature for leading edge groove tilting pad journal bearings and conventional tilting pad journal bearings

A study was undertaken to compare power loss and pad temperature characteristics between LEG (leading edge groove) tilting pad journal bearings and conventional tilting pad journal bearings with and without a seal tooth. All test bearings were double tilting type with six-pad LOP (Load On Pad), 300.6 mm inner diameter, and 120.0 mm effective length. Pad temperatures and power losses were compared and evaluated versus rotor rotational speed, oil flow rate, and static load. Four kinds of tilting pad journal bearings were evaluated, conventional tilting pad journal bearings with and without a seal tooth and LEG tilting pad journal bearings with and without a seal tooth.Test results indicate that tilting pad journal bearings without a seal tooth have lower power loss and pad temperature than tilting pad journal bearings with a seal tooth. Especially, conventional tilting pad journal bearing without a seal tooth has the lowest power loss and pad temperature among the test bearings.     

A New Active Tilting-Pad Bearing: Nonlinear Modeling and Feedback Control

This article introduces a new type of active fluid film bearing and its feedback control. In particular, the active adjustment of the angular velocity of the pads of a tilting-pad bearing in response to changes in the operating conditions of the rotating machine is proposed. This is motivated by the observation that there is more control authority in the pad tilting motion than in its radial translation. To this end, a dynamic model for the bearing system is first developed, inclusive of the nonlinear hydrodynamic force for the infinitely short bearing case. A model-based controller is then constructed, based on measurements of the journal position and velocity and pad tilting angles, to ensure that the journal is asymptotically regulated to the bearing center. Numerical simulations illustrate the performance of the active bearing under the proposed control in comparison with the bearing's standard passive mode of operation.     

计及轴颈轴向运动的径向滑动轴承润滑分析

以轴-径向滑动轴承系统为研究对象,综合考虑轴颈轴向运动和倾斜,建立了倾斜轴颈的轴承的流体动力润滑模型,采用有限差分法求解Reynolds方程,分析了不同的轴颈倾角、转速、偏心率和轴承间隙下的轴颈轴向运动对倾斜轴颈的轴承润滑性能的影响规律。结果表明：轴颈轴向运动对倾斜轴颈滑动轴承润滑特性影响显著,且影响程度与轴颈倾角和转速有直接的关系,倾角越大,对轴承润滑性能的影响越大,转速越低,对轴承润滑性能的影响越显著;轴承间隙越小,对轴承润滑性能的影响越大。     

Properties and Performance of Gas-Expanded Lubricants in Tilting Pad Journal Bearings

Lubricants enable proper function and reduce friction in rotating machinery, but they can also contribute to power loss and heat buildup. Gas-expanded lubricants (GELs) have been proposed as tunable mixtures of lubricant and CO₂ under pressure with properties such as viscosity that can be controlled directly in response to changing environmental or rotordynamic conditions. In this work, experimental results of GEL viscosity, gas diffusivity, and thermal conductivity were combined with high-pressure phase equilibrium data to understand how these mixtures will behave in tilting pad journal bearings under a range of industry-relevant high-speed conditions. Simulations were carried out using the experimental data as inputs to a thermoelastohydrodynamic model of tilting pad journal bearing performance. Viscosity could be easily tuned by controlling the composition of the GEL and the effect on bearing efficiency was appreciable, with 14–46% improvements in power loss. This trend held for a range of lubricant chemistries with polyalkylene glycols, polyalpha olefins, and a polyol ester tested in this work. Diffusivity, which drives how readily CO₂ and lubricants form homogenous mixtures, was found to be a function of the viscosity of the synthetic lubricant, with more viscous lubricants having a lower diffusivity than less viscous formulations. Model results for a bearing in a pressurized housing suggested that cavitation would be minimal for a range of speed conditions. Other bearing parameters, such as eccentricity, temperature, and minimum film thickness were relatively unchanged between conventionally lubricated and GEL-lubricated bearings, suggesting that the efficiency improvements could be achieved with few performance tradeoffs.     

Influence of Pad Pivot Friction on Tilting-Pad Journal Bearing Measurements—Part II: Dynamic Coefficients©

This paper presents measured results for the dynamic stiffness and damping force coefficients for two tilting-pad journal bearings. Comparison between a bearing with spherical seated ball and socket pad pivots and one with line contact rocker-back pad pivots is made. The bearings tested were preloaded five pad designs with load directed on the pivots. The bearings have length to diameter ratios of 0.75, offset ratios of 0.50, preloads of about 0.320, a journal diameter of 70 mm, and radial machined pad clearances of 113.0 μm. Measurements were made for a range of speedload conditions encompassing a Sommerfeld number range of 0.1 to 2.0. Comparison of the principal stiffness and damping coefficients for the two bearings show the same trends. Nearly zero cross-coupled stiffness coefficients were measured for the bearing with rocker-back pad pivots. For the bearing with spherical seated pad pivots, non-dimensional cross-coupled stiffness coefficients for K_xy ranged from -1.2 to -0.9 and for K_yx ranged from -3.8 to 0.8. A hypothesis for increased pad pivot friction in the ball and socket is presented to explain the variation in cross-coupled stiffness coefficients between the two bearings.     

高速齿轮传动可倾瓦轴承预负荷系数影响研究

可倾瓦轴承因其稳定可靠的特点被广泛应用于现代工业,相关研究也蓬勃发展起来,但目前关于可倾瓦轴承预负荷系数的研究主要集中在低转速领域。以DyRoBeS软件为研究工具,取普遍使用的5块瓦可倾瓦轴承作为研究对象,分析在20 000 r/min、40 000 r/min、60 000 r/min的高转速工况下,预负荷系数对可倾瓦轴承工作性能的影响,为高速齿轮传动中可倾瓦的设计应用提供理论依据。预负荷系数从0.1增加至0.7的过程中,对功率损失影响不大,使最大油膜压力与刚度系数增加,最小油膜厚度与阻尼系数减小。预负荷系数的混合设置会影响各瓦块压力分布,同时使最小油膜厚度以外的轴承性能参数明显增加。所得结论对高转速可倾瓦轴承的优化设计起到积极的作用。     

Numerical analysis on the static performance of tilting pad–journal gas bearing in subsystems

For tilting pad–journal bearing, each pad and the journal form a subsystem with its own local parameters reflecting the relative position of the journal and pad. In this paper, tilting pad–journal gas bearing has been studied numerically in perspective of subsystems to prevent pad spragging. The effect of eccentricity, preload and gas compressibility on local parameters have been studied in this fluid–solid coupled problem. Finite element method is adopted to solve the compressible Reynolds equation, and the load between pads configuration is chosen as a specific example.     

Spring and Damping Coefficients for the Tilting-Pad Journal Bearing

A method for calculating spring and damping coefficients for the tilting-pad journal bearing is presented. The analysis includes the effect of pad inertia. Numerical results are given in form of design curves for the centrally pivoted 4-shoe, 5-shoe, 6-shoe, and 12-shoe journal bearing. A comparison with test results is included.

This paper deals with the effects of lubricant compressibility on the pressure profile and total load capacity in a partial journal bearing; pivot pressure as a measure of shoe load capacity; shoe friction characteristics; and optimum shoe clearance ratios for various speeds. The parameter λ is used as an indicator of the compressibility effect of gas in the bearing clearance.