| 应用单参数曲面族包络面理论计算和分析圆锥凸轮机构 |
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| 引用本文： | 李俭,殷国富.应用单参数曲面族包络面理论计算和分析圆锥凸轮机构[J].成都大学学报(自然科学版),1998,17(1):1-9. |
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| 作者姓名： | 李俭 殷国富 |
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| 作者单位： | [1]成都大学机械系，成都610081 [2]四川联合大学制造学院，成都610056 |
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| 摘 要： | 用近代微分几何理论讨论空间凸轮廓面是当今空间凸轮机构设计研究的前沿方向之一．本文应用单参数曲面族包络面理论对摆动从动杆圆锥凸轮机构空间廓面进行了讨论，给出了廓面的数学表达式，构造性地推导出机构的压力角、廓面主曲率等几何特性参数的解析表达式．为空间凸轮机构的计算机辅助设计与制造及可视化处理提供了一条新途径．同时，利用本文结果，不难钭文献10－11]的结论作为特例导出．本文最后给出了一应用实例，以验证文中结论．
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| 关 键 词： | 园锥凸轮 包络 CAD／CAM |
Applying The Theory of Envelopes for A 1-Parameter Family of Surfaces to Analyze Conical Cam Mechanicsms |
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| Abstract: | Based on the theory of envelopes for a 1-parameter family of surfaces to analyze spatial cam mechanisms is intuitive in geometry,high accurate and easily programming using computer. In this paper, the analytical profile expression of conical earn with oscillating conical roller follower is established once the follower-motion program has been given. Further more, the analytical expression of pressure angles and principal curvatures are derived from the obtained analytical profile expression. The case demonstrates that results are correct and the proposed approach is favorable for building the CAD/CAW software of earn mechanisms. |
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