斜齿面齿轮齿面接触问题的有限元-线性规划解法  

Finite Element-Linear Programming Solution for Helical Face-Gear in Contact

作　　者：宋相男 靳广虎[1] SONG Xiangnan;JIN Guanghu(National Key Laboratory of Science and Technology on Helicopter Transmission,Nanjing University of Aeronautics&Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学直升机传动技术实验室,江苏南京210016

出　　处：《机械制造与自动化》2020年第2期17-21,63,共6页Machine Building & Automation

基　　金：国家自然科学基金资助项目(51475226)。

摘　　要：提出了一种基于有限元及线性规划计算斜齿面齿轮齿面接触区域载荷分布及啮合刚度的方法。建立了斜齿面齿轮齿面的数学模型,基于matlab实现其齿面及接触轨迹的可视化;基于有限元思想,并结合线性规划改进的单纯形算法,得到齿面接触区域各点载荷分配;根据接触区域平均变形量和载荷计算了啮合齿对的啮合刚度;计算了接触区域最大压应力,并与Hertz理论的计算结果进行对比,验证该线性规划算法的有效性。In this paper,a method based on finite element and linear programming for calculating contact stress of helical face-gear is presented.This paper esfablishes the mathematical model of helical face-gear tooth surface,and realizes the visualization of the tooth surface and contact track based on matlab.Based on the idea of finite element and the improved simplex algorithm of linear programming,the load distribution of each point in the tooth surface contact region is obtained.The meshing stiffness between gear teeth is calculated,based on the average deformation and load at each point in the contact region.Then,the effectiveness of the linear programming algorithm is verified,compared with the result calculated by the Hertz theory.

关 键 词：斜齿面齿轮 接触分析 载荷分布 啮合刚度 

分 类 号：TH132.41[机械工程—机械制造及自动化]