基于子结构技术的复杂齿轮系统有限元三维接触分析

基于子结构分析技术,建立了复杂齿轮系统的三维整体有摩擦弹性接触计算模型,用有限元参数二次规划法求解非线性部分,对其进行了比较全面、精细的有限元分析。以韶山7电力机车牵引齿轮系统为例,分析了齿轮啮合处接触状态（齿面相对滑动状态、齿面接触应力、齿面接触区域、齿向载荷分布）的变化规律。分析结果表明,齿轮系统的支承方式对齿轮齿面接触状态有较大影响。同时也说明,对于齿轮系统这种重复结构多的工程结构,子结构分析技术在解题规模和计算效率上都有优越性。

SUBSTRUCTURE-BASED CONTACT ANALYSIS OF COMPLEX GEAR SYSTEM

According to the theory of quadratic programming of finite element method, employing the multi-branch substructure technique, considering the frictional forces, establishes and calculates entire 3-D contact FEM model of driving gears of Shaoshan 7 electric locomotives, the different contact status of tooth's surface influenced by different supporting is analyzed. The main results indicate that the supporting has evident effect on the contact status such as slide, contact stress, contact zone, load distribution and so on. Meanwhile, it is manifested that substructure technique is suitable for gear system which is composed of many homology parts and has advantages of calculating large-scale structure and high efficiency.