基于ABAQUS的圆柱直齿轮齿根裂纹扩展与寿命估计

以渐开线直齿轮为研究对象,通过齿轮应力分析确定轮齿裂纹易萌生位置,利用ABAQUS软件建立齿轮裂纹扩展有限元模型,获取齿根裂纹扩展路径,计算不同阶段裂纹尖端应力强度因子。通过多种曲线拟合方式的对比,选取指数函数建立的裂纹长度与裂纹尖端应力强度因子幅之间的函数关系。运用Paris公式构建裂纹扩展速率模型,实现含齿根裂纹齿轮的寿命估计。

Root Crack Propagation and Life Estimation of Spur Gear Based on ABAQUS

With the involute spur gear as the research object,the gear stress was analyzed to determine the location of the tooth crack.The gear XFEM was established by ABAQUS software to obtain the propagation path of the tooth root crack,and to calculate the stress intensity factor of the crack tip at different stages.By comparing various curve fitting methods,the exponential function was selected to build up the function relationship between crack length and crack tip stress intensity factor.The Paris formula was adopted to construct the crack growth rate model to estimate the lifetime of the gear with root crack.