基于有限元法的螺旋锥齿轮啮合刚度计算

Spiral Bevel Gear Meshing Stiffness Calculations Based on the Finite Element Method

螺旋锥齿轮啮合刚度计算是其动力学分析的基础,螺旋锥齿轮动力学分析中多用正弦或余弦级数对轮齿刚度曲线进行近似处理,进而影响动力学分析计算的精度。基于螺旋锥齿轮加载接触有限元分析原理,研究螺旋锥齿轮啮合刚度计算方法,给出使用有限元软件计算螺旋锥齿轮刚度的关键技术及前处理方法,应用有限元分析软件ABAQUS构建一对五齿螺旋锥齿轮模型并计算出法向接触力和综合弹性变形量,得到单齿啮合刚度和多齿综合啮合刚度,分析不同载荷对刚度曲线的影响,结果表明载荷的变化会对刚度曲线的幅值和周期产生较大的影响,在计算刚度曲线时需考虑载荷对重合度以及接触位置的影响,通过计算直齿轮刚度并和已有文献作对比验证了该方法的正确性,研究工作为螺旋锥齿轮动力学分析提供了基础条件。

The calculation of spiral bevel gear meshing stiffness is the foundation of dynamic analysis.An approximate sine or cosine series are applied for dynamic analysis,which influences the computational accuracy.Based on the theory of finite element analysis for spiral bevel gear with loaded contact,a computational method of spiral bevel gear meshing stiffness is developed,and the key technologies and pre-processing methods are given.A spiral bevel gear model with five teeth is constructed using ABAQUS software.The normal contact force and integrated elastic deformation are computed,and the meshing stiffness of single and multiple teeth are achieved considering the influence of difference loads.Computing results show that the loads have a major effect on the meshing stiffness amplitude and period,and that impacts of the loads on contact ratio and the contacting position need to be considered for the calculation of meshing stiffness.Comparing the results of the development calculation method with existing literatures for involutes spur meshing stiffness,the correctness of the meshing stiffness calculation method is verified,which lays the foundation of dynamic analysis for spiral bevel gear.