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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。
Based on the substructure analysis technology, a three-dimensional friction elastic contact model of complex gear system is established. The quadratic programming method of finite element method is used to solve the nonlinear part, and a comprehensive and detailed finite element analysis is carried out. Taking the traction gear system of Shaoshan 7 electric locomotive as an example, the change law of the contact state (the relative sliding state of the tooth surface, the contact stress of the tooth surface, the contact area of the tooth surface and the tooth load distribution) at the gear meshing was analyzed. The analysis results show that the gear system support system has a great influence on the contact state of gear tooth surface. At the same time, it also shows that the sub-structure analysis technology has superiority in the problem-solving scale and computational efficiency for the gear structure with many repetitive structures.