基于等距Ease-off曲面的轮齿啮合仿真分析
发布时间：2018-11-12 18:55
【摘要】：提出了一种基于Ease-off曲面等距变换的轮齿啮合仿真分析方法.利用曲面曲挠参数,给出了2阶密切曲面的定义及其拓扑方法;在2阶微分精度范围内,密切曲面与原曲面贴近,可以代替散曲面做几何解析.利用空间坐标变换,建立了弧齿锥齿轮加工的啮合方程和通用产成模型.基于啮合等距对应原理,求解齿面对应点的离差;利用最小二乘法,拓扑散曲面,构建Ease-off差齿面的2阶密切曲面.基于Ease-off密切曲面参数,利用齿面接触的等距线、渐近方向,解析出齿面接触位形、接触路径、传动误差等啮合性能参数.分析结果表明:一次性构建Ease-off的2阶密切曲面,能够获得轮齿完备的啮合信息,曲面拓扑精度可到达0.1μm;与现行的啮合仿真方法相比易于齿面反求、数值计算,啮合信息的获得也更为便捷.
[Abstract]:A simulation analysis method of gear tooth meshing based on Ease-off surface isometric transformation is proposed. In this paper, the definition and topological method of the second order close surface are given by using the curved deflection parameters, and the close surface is close to the original surface in the range of the second order differential accuracy, which can replace the scattered surface for geometric analysis. The meshing equation and general production model of spiral bevel gear are established by using spatial coordinate transformation. Based on the meshing equidistant correspondence principle, the deviation of the tooth surface corresponding point is solved, and the second order close surface of the Ease-off difference tooth surface is constructed by using the least square method and the topological scattered surface. Based on the parameters of Ease-off close surface, the meshing performance parameters such as tooth contact configuration, contact path and transmission error are analyzed by using the equidistant line and asymptotic direction of tooth surface contact. The analysis results show that the second order close surface of Ease-off can be constructed at one time, and the complete meshing information of gear teeth can be obtained, and the topological precision of the surface can reach 0.1 渭 m. Compared with the current meshing simulation method, it is easy to reverse the tooth surface, and the numerical calculation and meshing information are more convenient.
【作者单位】： 河南科技大学机电工程学院;机械装备先进制造河南省协同创新中心;
【基金】：国家自然科学基金(51375144)
【分类号】：TH132.41
，
本文编号：2327925
[Abstract]:A simulation analysis method of gear tooth meshing based on Ease-off surface isometric transformation is proposed. In this paper, the definition and topological method of the second order close surface are given by using the curved deflection parameters, and the close surface is close to the original surface in the range of the second order differential accuracy, which can replace the scattered surface for geometric analysis. The meshing equation and general production model of spiral bevel gear are established by using spatial coordinate transformation. Based on the meshing equidistant correspondence principle, the deviation of the tooth surface corresponding point is solved, and the second order close surface of the Ease-off difference tooth surface is constructed by using the least square method and the topological scattered surface. Based on the parameters of Ease-off close surface, the meshing performance parameters such as tooth contact configuration, contact path and transmission error are analyzed by using the equidistant line and asymptotic direction of tooth surface contact. The analysis results show that the second order close surface of Ease-off can be constructed at one time, and the complete meshing information of gear teeth can be obtained, and the topological precision of the surface can reach 0.1 渭 m. Compared with the current meshing simulation method, it is easy to reverse the tooth surface, and the numerical calculation and meshing information are more convenient.
【作者单位】： 河南科技大学机电工程学院;机械装备先进制造河南省协同创新中心;
【基金】：国家自然科学基金(51375144)
【分类号】：TH132.41
，
本文编号：2327925
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