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根据渐开线齿轮齿条的啮合原理,以0°和20°压力角齿条与渐开线圆柱直齿轮啮合为研究对象,获得两种齿轮齿条啮合数学模型,通过坐标矩阵变换,分别利用棒铣刀和球面铣刀模拟齿条的一个齿面,将齿条与齿轮在啮合过程中的相对运动转化为铣削齿轮时铣刀和齿轮轴的相对运动.将这种铣刀与齿轮轴的运动关系与四轴加工中心的各运动轴相结合,获取两种不同的齿轮铣削加工轨迹,比较分析得出以0°压力角齿条与渐开线圆柱齿轮啮合为研究对象所获得的加工轨迹更简洁,加工中心各轴的运动复杂度更低,是一种更优的齿轮齿面铣削轨迹规划方法.
According to the meshing principle of involute gear and rack, the gear meshing between 0 ° and 20 ° pressure angle racks and involute cylindrical spur gear was taken as the research object. Two types of gear and rack meshing mathematical models were obtained. By using coordinate matrix transformation, Rod milling cutter and milling cutter to simulate a tooth surface of the rack, the relative movement of the rack and gear in the process of conversion into a milling cutter gear and gear shaft relative movement. The cutter and gear shaft The kinematic relationship of the four-axis machining center and each axis of motion is combined to obtain two different kinds of gear milling paths. The machining trajectories obtained from the meshing of 0 ° pressure angle racks with involute cylindrical gears are analyzed and compared. More concise, each axis of the machining center has lower motion complexity, which is a better method for planning the milling path of gear tooth surface.