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基于展成法加工准双曲面齿轮小轮,依据铣刀切齿坐标系及齿面方程,建立了加工准双曲面齿轮小轮的数学模型,推导出了小轮的理论齿面方程。对理论齿面进行离散化,求解出离散点的坐标,将齿面点导入UG中进行齿面造型;根据反共轭原理,求解出与小轮完全共轭的工具轮齿面方程以及齿面点,对之进行三维造型。对三维模型进行运动仿真,通过接触区验证造型的正确性。根据等体积原则,求解出滚轧轮坯。将滚轧模型导入到DEFORM中进行数值模拟,由模拟结果验证加工工艺的可行性,并为后续试验提供理论指导。
Based on the development of the hypoid gear, the mathematical model for processing the hypoid gear was established and the theoretical tooth surface equation of the hockey gear was deduced according to the cutter tooth coordinate system and the tooth surface equation. Discretizing the theoretical tooth surface, solving the coordinates of the discrete point, introducing the tooth surface point into the UG for tooth surface modeling, and solving the equation of the tooth surface and the tooth surface completely conjugate with the small wheel according to the anti-conjugate principle , On the three-dimensional modeling. The three-dimensional model of the movement simulation, through the contact area to verify the correctness of modeling. According to the principle of equal volume, solved the rolling wheel billet. The rolling model is imported into DEFORM for numerical simulation. The simulation results verify the feasibility of processing technology and provide theoretical guidance for subsequent experiments.