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Simulation of fatigue failure on tooth flanks in consideration of pitting initiation and growth

机译:考虑到点痛启动和生长的牙齿侧翼疲劳失效的模拟

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The state-of-the-art engineering uses gears under high loads and demanding ambient conditions. Because of the high sliding- and rolling-strain in the gear tooth contact the tooth surface changes continuously beginning with the first tooth contact. With an increasing time of operation, appearances of fatigue, like micropitting, can be noticed. Micropitting is the macroscopic image of material fatigue which is characterized by a high density of micro cracks in the tooth surface. These fine cracks expand at the beginning only a few micrometres from the tooth surface into the subsurface material layer. In some cases, and under continuing load impacts these micro cracks join to larger crack networks, which after some time may lead to extensive material break-outs on the tooth surface, the so-called pittings. This crack growth from the surface is induced by local stress intensities in the crack area. Another reason for the occurrence of pittings are inclusions with strongly different stiffnesses within the microstructure of the gear's material. They also cause local stress intensities which initiate fatigue. In contrast to the pre-described surface driven crack growth, these kinds of cracks are initiated in a subsurface material layer where also a high shear stress is operating on the material. In case of further crack growth under continuing load, these cracks can reach the tooth surface and are in this case also a driver of pitting occurrence. This contribution analyses and summarizes the fatigue mechanisms on gear tooth flanks and introduces a model and simulation method for these mechanisms. This algorithm considers the exact tooth geometry, the local load distribution, the local speed ratios and the tribological conditions. These variable and interdepend parameters are calculated in every simulation step and are used to determine the local pressure, local sliding speeds and further parameters of a discrete point on the tooth flank. By using these discrete load conditions algorithms are executed which calculate a discrete wear value and wear gradient for every point of the tooth flank. This local wear values can be used to calculate the profile form deviation. Another simulation result is a crack density value which is an indicator and measure for micropitting. These results are summarized over all simulation steps and can be readout at any point of time. These simulation results have already been validated with trails on various gear test rigs. A new aspect of this simulation is the simulation of pitting failures. Every simulation step is extended with calculations for crack initiations at the surface as well as below the surface. Depending on the local load conditions a length for short and long cracks on the surface is summarized over the simulation steps. If the surface crack length reaches a certain value with a correlating orientation at a discrete point of the tooth flank a pitting is initiated. Based on the fatigue algorithms which are used for bearing fatigue life calculation since decades the sub-surface crack initiation is determined.
机译:最先进的工程在高负荷和苛刻的环境条件下使用齿轮。由于齿轮齿中的高滑动和滚动应变接触,齿面与第一齿接触连续地变化。随着运行时间的增加,可以注意到疲劳的外观,如微型产品。微量产物是材料疲劳的宏观图像,其特征在于齿表面中的高密度微裂纹。这些细裂纹在从齿面上的开始只有几微米进入地下材料层。在某些情况下,在继续负荷下,这些微裂缝连接到更大的裂缝网络,这在一段时间后可能导致牙齿表面上的大量材料突破,所谓的凋亡。这种裂纹生长来自裂缝区域的局部应力强度诱导。发生啮合的另一个原因是夹具材料的微观结构内具有强烈不同的刚度的夹杂物。它们也引起局部压力强度,引发疲劳。与预先描述的表面驱动裂纹生长相反,在地下材料层中启动了这些种类的裂缝,其中高剪切应力在材料上操作。在继续载荷下进一步裂纹的情况下,这些裂缝可以到达齿面,并且在这种情况下也是点蚀发生的驱动器。该贡献分析并总结了齿轮牙齿侧翼上的疲劳机制,并引入了这些机制的模型和仿真方法。该算法考虑了精确的牙齿几何形状,局部负荷分布,局部速度比和摩擦学条件。在每个模拟步骤中计算这些可变和Internepd参数,并且用于确定牙齿上的离散点的局部压力,局部滑动速度和进一步参数。通过使用这些离散的负载条件,执行算法,其计算牙齿侧翼的每个点的离散磨损值和磨损梯度。该本地磨损值可用于计算轮廓形式偏差。另一个仿真结果是裂缝密度值,其是微型指示器和测量。这些结果总结了所有模拟步骤,并且可以在任何时间点读出。这些仿真结果已经通过各种齿轮试验台上进行了验证。该模拟的一个新方面是拟点故障的模拟。每个模拟步骤都延伸,计算表面的裂纹发动和表面下方。根据局部负载条件,在仿真步骤上总结了表面上短而长的裂缝的长度。如果表面裂缝长度达到一定值,则在牙齿侧翼的离散点处具有相关取向,启动斑点。基于用于轴承疲劳寿命计算的疲劳算法,从数十年来确定亚表面裂纹开始。

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