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Computational Analysis of the Equalization Behavior of Thrust Bearings With Regular and Modified Leveling Plates 带规则调平板和修正调平板止推轴承均衡性能的计算分析
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-90504
S. Gokaltun, S. Decamillo
In this work, a Finite Element Analysis (FEA) model has been developed that represents the interaction between the thrust bearing components under the influence of a misaligned rotor. The FEA model represents the contact between bearing components such as the pads and leveling plates and calculates the forces and moments created, as well as capturing the elastic deformation caused by the load imposed by the runner. The current analysis excludes the existence of the fluid film between the runner and the pads; therefore, the loads and misalignments created represent a static loading condition. It was observed that the bearing equalization system is still functional for design modification cases such as material removal at the outer diameter of the lower leveling plates, while the equalization performance is reduced slightly.
在这项工作中,建立了一个有限元分析(FEA)模型,该模型表示在转子错位影响下推力轴承部件之间的相互作用。FEA模型表示垫块和调平板等轴承部件之间的接触,并计算产生的力和力矩,以及捕获由流道施加的载荷引起的弹性变形。目前的分析排除了流道与垫片之间流体膜的存在;因此,产生的负载和不对齐表示静态加载条件。结果表明,对于下调平板外径处的材料去除等设计修改情况,轴承均衡系统仍然具有功能,而均衡性能略有降低。
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引用次数: 3
Prediction of Geometrically Induced Localization Effects Using a Subset of Nominal System Modes 利用标称系统模态子集预测几何诱导的局部效应
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-90884
Thomas Maywald, Christoph Heinrich, A. Kühhorn, S. Schrape, T. Backhaus
It is widely known that the vibration characteristics of blade integrated discs can dramatically change in the presence of manufacturing tolerances and wear. In this context, an increasing number of publications discuss the influence of the geometrical variability of blades on phenomena like frequency splitting and mode localization. This contribution is investigating the validity of a stiffness modified reduced order model for predicting the modal parameters of a geometrically mistuned compressor stage. In detail, the natural frequencies and mode shapes, as well as the corresponding mistuning patterns, are experimentally determined for an exemplary rotor. Furthermore, a blue light fringe projector is used to identify the geometrical differences between the actual rotor and the nominal blisk design. With the help of these digitization results, a realistic finite element model of the whole compressor stage is generated. Beyond that, a reduced order model is implemented based on the nominal design intention. Finally, the numerical predictions of the geometrically updated finite element model and the stiffness modified reduced order model are compared to the vibration measurement results. The investigation is completed by pointing out the benefits and limitations of the SNM-approach in the context of geometrically induced mistuning effects.
众所周知,由于制造公差和磨损的存在,叶片集成盘的振动特性会发生巨大变化。在此背景下,越来越多的出版物讨论了叶片几何变异性对频率分裂和模态局部化等现象的影响。该贡献是研究刚度修正降阶模型的有效性,用于预测几何失谐压缩机级的模态参数。详细地,实验确定了一个示例转子的固有频率和模态振型,以及相应的失谐模式。此外,蓝色光条纹投影仪用于识别实际转子和标称圆盘设计之间的几何差异。在这些数字化结果的帮助下,生成了整个压气机级的真实有限元模型。除此之外,还基于标称设计意图实现了降阶模型。最后,将几何更新有限元模型和刚度修正降阶模型的数值预测结果与振动实测结果进行了比较。通过指出snm方法在几何诱导的失谐效应背景下的优点和局限性,完成了调查。
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引用次数: 1
Response Surface Mapping and Multi-Objective Optimization of Crowning and Tapers in Water-Lubricated Thrust Bearings 水润滑止推轴承顶锥响应面映射及多目标优化
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-91984
Xin Deng, Cori Watson, M. He, R. Fittro, H. Wood
Fluid film bearings for turbomachinery are designed to support the loads applied by the rotor system. Oil-lubricated bearings are widely used in high speed rotating machines. However, environmental issues and risk-averse operations have made water lubricated bearings increasingly popular. Due to different viscosity properties between oil and water, the low viscosity of water decreases film thickness significantly. Crowning and tapers are two main ways to maintain the film thickness requirements in water lubrication, but no studies about the influence of these parameters on the film thickness in water-lubricated bearings have been reported. Therefore, further understanding of the performance associated with optimizing the bearing design with different weighted performance and their relationships to bearing design variables could be invaluable to bearing design engineers. This study explores the impact of three crowning and taper design variables on the performance of one tilting pad thrust bearing using the design of experiments techniques applied to a thermoelastohydrodynamic (TEHD) bearing model. The bearing design variables analyzed in this study include the radius of the ground-in crown, taper circumferential angle offset, and the vertical taper distance at the inner and outer radii. Each of the design variables is first varied over five levels, each in central composite design. The outputs from the TEHD numerical simulations used as performance measures for each bearing design point were the minimum film thickness, the film thickness at the pivot location, maximum film pressure and power loss. Multi-objective optimization was performed. A range of weighting parameters was selected for the optimization function to find a bearing design that maintains the minimum film thickness criterion while minimizing power loss. The resulting optimum design points allowed for a comparison between the design optimization at different weightings. This study demonstrates how designers can use these approaches to view the relationships between design variables and important performance metrics to design better bearing for a wide range of applications.
涡轮机械的油膜轴承设计用于支持转子系统施加的载荷。油润滑轴承广泛应用于高速旋转机械中。然而,环境问题和规避风险的操作使得水润滑轴承越来越受欢迎。由于油和水的粘度特性不同,水的低粘度会显著降低油膜厚度。在水润滑中,冠形和锥形是维持膜厚要求的两种主要方式,但尚未有关于这些参数对水润滑轴承膜厚影响的研究报道。因此,进一步了解与优化不同加权性能的轴承设计相关的性能及其与轴承设计变量的关系,对轴承设计工程师来说是非常宝贵的。本研究采用热弹流体力学(TEHD)轴承模型的实验设计技术,探讨了三种冠度和锥度设计变量对倾斜垫推力轴承性能的影响。本研究分析的轴承设计变量包括接地冠半径、锥度周向角偏移以及内外半径处的垂直锥度距离。每个设计变量首先在五个层次上变化,每个层次都在中心复合设计中。TEHD数值模拟的输出作为每个轴承设计点的性能指标是最小膜厚度,枢轴位置的膜厚度,最大膜压力和功率损失。进行多目标优化。为优化函数选择了一系列加权参数,以找到在保持最小膜厚准则的同时使功率损失最小的轴承设计。所得到的最佳设计点允许在不同权重的设计优化之间进行比较。本研究展示了设计师如何使用这些方法来查看设计变量和重要性能指标之间的关系,从而为广泛的应用设计更好的轴承。
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引用次数: 0
Vibration Analysis of a Mistuned Axial Turbine Blisk 轴向涡轮叶片失谐振动分析
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-92047
B. Beirow, A. Kühhorn, F. Figaschewsky, Alfons Bornhorn
An axial turbine blisk for turbocharger applications is analyzed with respect to the effect of intentional mistuning on the forced response. Originally, the intentional mistuning pattern has been designed by employing a genetic algorithm optimization in order to reduce the forced response caused by low engine order excitation (LEO) of the fundamental flap mode. The solution found has been implemented in a prototype of that blisk. For the purpose of comparison, a second reference blisk has been manufactured without intentional mistuning. The actual mistuning distributions of the blisks have been identified by employing blade-by-blade impact testing. Alternatively, a new inverse approach has been employed, which is based on a least squares formulation and benefits from less experimental effort. Based on the information gained by the aforementioned testing procedures, subset of nominal systems (SNM)-models have been updated, which allow for considering the aeroelastic coupling by means of aerodynamic influence coefficients (AIC). Despite of small but unavoidable deviations from the design intention it could be proved within numerical simulations that the intended 70 per cent reduction of the maximum forced response is nevertheless achieved. In addition, the paper is addressing the effect of the aforementioned intentional mistuning pattern on a higher mode, which is relevant for the durability as well. Hence, new SNM-models have to be updated in order to calculate the forced response due to EO-excitation caused by the nozzle guide vane. Although the original mistuning pattern has been optimized solely for reducing the forced response of the fundamental flap mode, it hardly affects the higher mode forced response in a negative manner.
分析了一种用于涡轮增压器的轴向涡轮叶片故意失谐对其强迫响应的影响。最初,为了减小基本襟翼模式低阶激励(LEO)引起的强迫响应,采用遗传算法优化设计了故意失谐模式。找到的解决方案已经在那个磁盘的原型中实现了。为了比较的目的,第二个参考圆盘已被制造,没有故意混淆。通过采用叶片对叶片的冲击试验,确定了叶片的实际失谐分布。或者,采用了一种新的逆方法,该方法基于最小二乘公式,并且从较少的实验努力中获益。基于上述测试过程获得的信息,更新了标称系统(SNM)模型子集,允许通过气动影响系数(AIC)考虑气动弹性耦合。尽管与设计意图有微小但不可避免的偏差,但在数值模拟中可以证明,最大强迫响应的预期减少了70%。此外,本文还讨论了上述故意误调模式对更高模式的影响,这也与耐久性有关。因此,为了计算由喷嘴导叶引起的eo激励引起的强迫响应,必须更新新的snm模型。虽然对原失谐模式进行了优化,只是为了减小基振型的强迫响应,但对高振型的强迫响应几乎没有负面影响。
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引用次数: 3
On the Frequency Dependency of Tilting-Pad Journal Bearings 斜垫滑动轴承的频率依赖性研究
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-90195
L. F. Wagner
Controversy regarding the dynamic modeling of tilting-pad journal bearings (TPJB) has existed for years, with the question of the effective stiffness and damping properties, and the requirement for consideration of frequency dependency, being of great concern. There is a partial disconnect between the results of theoretical and many experimental investigations. This paper attempts to examine this issue in more of a macro sense; broadening the scope of the geometric and operating domains, and in turn expanding an understanding of related frequency effects. The investigation hinges on a single-pad, single degree-of-freedom (DOF) model that represents various geometries and operating conditions for a full bearing. The results clearly show that the dynamic coefficients must be dependent upon the “exciting” frequency, and that the dependency is primarily associated with the pad rotational damping.
关于倾斜垫滑动轴承(TPJB)动态建模的争议已经存在多年,其中有效刚度和阻尼特性的问题以及考虑频率相关性的要求备受关注。在理论研究结果和许多实验研究结果之间存在部分脱节。本文试图从宏观的角度来审视这一问题;扩大几何和操作域的范围,进而扩大对相关频率效应的理解。该研究基于单垫、单自由度(DOF)模型,该模型代表了全轴承的各种几何形状和操作条件。结果清楚地表明,动力系数必须依赖于“激励”频率,并且这种依赖关系主要与垫块旋转阻尼有关。
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引用次数: 2
A Reliable Pre-Processing for the Simulation of Friction Joints in Turbomachineries and its Validation: A Case Study With Policontact 涡轮机械摩擦关节仿真的可靠预处理及其验证——以policycontact为例
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-91764
C. M. Firrone, G. Battiato
Industry and University collaborates to develop methods to simulate the nonlinear dynamics of components in rotating assemblies like turbine or compressor modules in the presence of friction joints. This collaboration produced fruitful results providing a family of numerical solvers with the goal of foreseeing the safety margins against High Cycle Fatigue failure. Softwares are therefore intended as design tools to exploit the damping effect of joints by controlling geometrical features, materials and contact loads. Contact models, reduction techniques to handle complex blade geometries modeled by Finite Element softwares, and numerical techniques to solve the nonlinear equations of motion are refined to provide the level of vibration amplitude as fast as possible by keeping the representativeness of the physical phenomena that are involved. A reliable compromise between speed and accuracy must be confirmed by several ‘gates’ to pass through during all the simulation process, in particular during pre-processing phase. The objective of this paper is to propose a good practice made of a list of actions to check the goodness of the mathematical basis to obtain reliable results from simulation. Experience gained thanks to the long-lasting collaboration between Politecnico di Torino and GE Avio for the development of the software Policontact provides a case study of an effective synthesis between two requirements that are often opposed to each other: complex mathematical models to simulate the nonlinear forced response of rotating components on one side and a robust, confident implementation of an easy-to-use tool intended for industrial staff with complementary background on the other side.
工业和大学合作开发方法来模拟旋转组件(如涡轮机或压缩机模块)中存在摩擦接头的部件的非线性动力学。这次合作取得了丰硕的成果,提供了一系列数值求解器,目标是预测高周疲劳失效的安全裕度。因此,软件被用作设计工具,通过控制几何特征、材料和接触载荷来开发接头的阻尼效应。接触模型、用有限元软件模拟复杂叶片几何形状的简化技术以及求解非线性运动方程的数值技术都得到了改进,以便通过保持所涉及的物理现象的代表性来尽可能快地提供振动幅度水平。在所有仿真过程中,特别是在预处理阶段,必须通过几个“门”来确认速度和精度之间的可靠妥协。本文的目的是提出一种由动作列表组成的良好实践,以检查数学基础的良好性,从而从仿真中获得可靠的结果。都灵理工大学和GE Avio在开发policcontact软件方面的长期合作所获得的经验提供了一个案例研究,可以有效地综合两种经常相互对立的需求:复杂的数学模型,以模拟一侧旋转部件的非线性强迫响应,以及一个强大的,自信的实现易于使用的工具,旨在为工业人员提供互补背景的另一边。
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引用次数: 4
Study on Vibration Response Characteristics of Mistuned Bladed Disk Expressed by Vibratory Stress 以振动应力表示的失谐叶片盘振动响应特性研究
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-90510
Y. Kaneko, Toshio Watanabe, Furukawa Tatsuya, S. Washio
Although bladed disks of turbomachinery are nominally designed to be cyclically symmetric (tuned system), the vibration characteristics of individual blades on a disk differ slightly owing to manufacturing tolerance, deviation of material properties, wear during operation, etc. These small variations break cyclic symmetry and split eigenvalue pairs. Actual bladed disks with small variations are called mistuned systems. Many researchers have studied mistuning and the main conclusion is that while mistuning has an undesirable effect on forced response, it has a beneficial effect on blade flutter. Although mistuning phenomena have been studied since the 1980s, studies on forced response are mostly related to increase in the resonant amplitude due to harmonic excitation force. In addition, because few papers have treated the amplification factor expressed in terms of vibratory stress, the mistuning phenomena of bladed disks expressed in terms of vibratory stress are not fully understood. In this study, the mistuning effect expressed in terms of vibratory stress is examined using the reduced-order model SNM (Subset of Nominal Modes) without any assumptions. By comparing the amplification factor expressed in terms of displacement response with that expressed in terms of vibratory stress response, including synthesized stress (von Mises stress and principal stress), the mistuning phenomena expressed in terms of vibratory stress are clarified. The effect of bladed disk structure on amplification factor is examined in detail as well.
虽然叶轮机械的叶片盘名义上设计为循环对称(调谐系统),但由于制造公差、材料性能偏差、运行过程中的磨损等原因,单个叶片在圆盘上的振动特性略有不同。这些微小的变化打破了循环对称并分裂了特征值对。实际的带有小变化的叶片盘被称为失谐系统。许多研究者对失谐进行了研究,得出的主要结论是失谐对叶片的强迫响应有不利影响,但对叶片颤振有有利影响。虽然从20世纪80年代开始对失谐现象进行了研究,但对强迫响应的研究大多与谐波励磁力引起的共振幅度增加有关。此外,由于以振动应力表示的放大系数处理的文献较少,因此对以振动应力表示的叶片盘失谐现象的认识不完全清楚。在本研究中,用降阶模型SNM(标称模态子集)检验了以振动应力表示的失谐效应,没有任何假设。通过比较用位移响应表示的放大系数与用振动应力响应表示的放大系数,包括合成应力(von Mises应力和主应力),澄清了用振动应力表示的失谐现象。详细分析了叶片盘结构对放大系数的影响。
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引用次数: 2
New Possibilities for Analyzing Complex Asynchronous Blade Vibrations From Tip-Timing Data Using a Sparse Spectral Analysis Method 利用稀疏谱分析方法从叶尖定时数据分析复杂异步叶片振动的新可能性
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-91573
A. Bouchain, J. Picheral, E. Lahalle, A. Vercoutter, B. Burgardt, A. Talon
Measurements in engine operation provide key information for understanding the blades vibrating behaviors, especially while observing complex asynchronous vibrations, such as flutter. The studied vibration is performed by the spectral analysis of the measured vibrating mechanical responses. In this context, tip-timing measurement technology enables to get a large amount of information as it monitors all the blades. However, tip-timing technology generates sub-sampled and non-uniform sampled signals. Thus, conventional spectral estimation methods lead to aliased frequency components on the spectrum. Therefore, specific estimation methods have been developed to overcome this issue. This paper presents the tip-timing measurements analysis of a non synchronous vibration test case. It uses a new sparse method with block-OMP algorithm in order to estimate time-frequency diagrams of each blade separately. The results are compared to the results of the well-known asynchronous tip-timing method, called All Blade Spectrum. This real test case highlights the limitations of the latter method, as it involves too much uncertainty, while the sparse method with block-OMP enables to characterize these complex asynchronous blade vibrations.
发动机运行中的测量为理解叶片振动行为提供了关键信息,特别是在观察颤振等复杂的异步振动时。所研究的振动是通过测量振动力学响应的频谱分析来实现的。在这种情况下,叶尖定时测量技术可以获得大量的信息,因为它可以监测所有的叶片。但是,tip-timing技术会产生亚采样和非均匀采样信号。因此,传统的频谱估计方法会导致频谱上的混叠频率分量。因此,已经开发了具体的估计方法来克服这个问题。本文介绍了一个非同步振动试验用例的尖点定时测量分析。采用一种新的基于块omp算法的稀疏方法分别估计每个叶片的时频图。将结果与众所周知的称为全刀片频谱的异步尖端计时方法的结果进行比较。这个真实的测试案例突出了后一种方法的局限性,因为它涉及太多的不确定性,而带有块omp的稀疏方法能够表征这些复杂的异步叶片振动。
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引用次数: 6
Comparison of a Liquid Annular Seal for Pump Applications With and Without a Swirl Brake 带和不带涡流制动器的泵用液体环形密封的比较
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-90113
N. E. Balke, D. Childs
An annular seal is an annular clearance between a rotor and a stator within a turbomachine that restricts leakage flow, arising due to the seal’s pressure differential. Annular seals are important for consideration in turbomachinery in that they affect the rotodynamics and stability of the turbomachine. Data were available for a smooth liquid annular seal that had been previously tested with no swirl brakes. The seal was modified by adding slots at the inlet to produce a swirl brake seal. Tests produced static and dynamic data for the swirl brake seal. The swirl brake and unmodified seal data are compared to demonstrate how swirl brakes impact the seal’s rotordynamic performance. Adding a swirl brake to a liquid annular seal increases direct stiffness, decreases cross-coupled stiffness, modestly increases direct damping, reduces cross-coupled damping, and decreases both the direct and cross-coupled virtual mass terms. The measured drop in cross-coupled stiffness via the addition of swirl brakes shows why swirl brakes are effective in remedying rotordynamic instabilities. Results show that varying inlet pre-swirl, or fluid rotation, on a swirl brake seal has little effect on the seal’s dynamic performance characteristics. A notable phenomenon was observed with the direct stiffness. At certain test points the direct stiffness would abruptly increase and decrease when increasing either pressure or running speed. The behavior could be largely explained by transitioning the laminar/transitional/turbulent boundaries.
环形密封是涡轮机械中转子和定子之间的环形间隙,由于密封的压差而产生的泄漏流受到限制。在涡轮机械中,环形密封是重要的考虑因素,因为它影响涡轮机械的旋转动力学和稳定性。在之前没有涡流制动器的情况下,测试了光滑的液体环空密封。通过在进口处增加槽来改进密封,以产生涡流制动密封。试验获得了旋流制动密封的静态和动态数据。将涡流制动器和未修改的密封数据进行比较,以证明涡流制动器如何影响密封的转子动力性能。在液体环空密封中加入涡流制动器可增加直接刚度,降低交叉耦合刚度,适度增加直接阻尼,降低交叉耦合阻尼,并降低直接和交叉耦合虚质量项。通过增加涡流制动器测量的交叉耦合刚度下降表明为什么涡流制动器在纠正转子动力不稳定性方面是有效的。结果表明,改变进口预旋流或流体旋转对旋流制动密封的动态性能影响不大。用直接刚度观察到一个显著的现象。在某些测试点,当压力或运行速度增加时,直接刚度会突然增大和减小。这种行为在很大程度上可以通过层流/过渡/湍流边界的过渡来解释。
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引用次数: 0
CFD Simulation of Air Ingestion in a Squeeze Film Damper 挤压膜阻尼器进气量的CFD模拟
Pub Date : 2019-11-05 DOI: 10.1115/gt2019-91285
Wang Yan, Li Xuesong, Li Yuhong
Squeeze film damper (SFD) is widely adopted in the high performance rotor-bearing systems to eliminate rotor vibration and improve stability. Experiments show that the air ingestion from the open end would have notable impact on the SFD performance. Multiphase Computational Fluid Dynamics (CFD) calculation on the air ingestion in the SFD is conducted in this work. Results are validated with the experimental data to prove the capability of the multiphase CFD on predicting the air ingestion. Air and oil flow in the SFD are analyzed in details. By comparing the CFD results with and without air ingestion, the effect of air ingestion is revealed. Results show that CFD is capable of predicting the air-oil flow in the SFD. The maximum air region is located in the vicinity of the largest bearing clearance region rather than the low pressure zone. And air ingestion in the largest bearing clearance region counteracts the hydrodynamic pressure effect in the vicinity.
挤压膜阻尼器(SFD)广泛应用于高性能转子-轴承系统中,以消除转子的振动,提高转子的稳定性。实验表明,开口端进气量对SFD性能有显著影响。本文采用多相计算流体力学(CFD)方法对流化床进气进行了计算。实验结果验证了多相计算流体力学在预测进气量方面的能力。详细分析了SFD内的气流和油流。通过对加气和不加气的CFD计算结果的比较,揭示了加气的影响。结果表明,CFD能够较好地预测SFD内的气油流动。最大空气区位于最大轴承间隙区而不是低压区附近。轴承最大间隙区域的进气量抵消了附近的动水压力效应。
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引用次数: 0
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