非圆齿轮传动系统的动力学模型及其应用  

Dynamic model and its application of transmission system in noncircular gears

作　　者：刘大伟[1] 任廷志[2] 金昕[2] 

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066004 [2]燕山大学国家冷轧板带装备及工艺工程技术研究中心,河北秦皇岛066004

出　　处：《机械设计》2016年第1期35-39,共5页Journal of Machine Design

基　　金：河北省自然科学基金资助项目(E2008000819);秦皇岛市科技支撑计划资助项目(201502A014);燕山大学博士基金资助项目(B870)

摘　　要：针对非圆齿轮的轮齿受力方向和从动轮惯性转矩具有时变性的特征,提出将非圆齿轮传动比线性分割成有限个微段后构建非圆齿轮动力学模型。在每个微段上,假设非圆齿轮受力方向不变,惯性转矩等效成负载阻力矩,利用圆齿轮动力学理论建立非圆齿轮副的扭振模型。对非圆齿轮副模型进一步扩展,推导出包含传动轴和减速齿轮在内的非圆齿轮传动系统的扭振模型,并将其应用于新型结晶器非正弦驱动系统的设计。通过数值方法计算出由非圆齿轮组成的驱动系统的时域响应,分析了系统的动态特性,不仅验证了模型的可行性,而且为新型驱动装置的应用提供了理论依据。Due to the time-varying characteristics of the force direction and driven gear inertia torque of noncircular gears, a method was presented to construct dynamic model of noncircular gears by dividing their transmission ratio curve into finite mi- cro segments. At any micro segment, the force direction of noncircular gears was considered constant and the inertia torque was equivalent to the drag torque. Using the dynamic theory of circular gears, the torsional vibration model of noncircular gears in- cluding the shaft and the gear was derived to apply in a new non-sinusoidal driving system of molds in continuous casting ma- chine. Finally, the time domain response of the driving system consisting of noncircular gears was calculated and an analysis of its dynamic feature was performed, which not only verify the feasibility of the dynamic model but also provide theoretical base for the application of the new driving mechanism.

关 键 词：非圆齿轮 扭转振动 驱动系统 时域响应 

分 类 号：TF341.6[冶金工程—冶金机械及自动化]