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奇点共轭的二次包络实现及其几何性态分析

Realization of double envelope and geometric properties of conjugation in singular point

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【作者】 阎长罡刘健曹利新

【Author】 YAN\ Chang\|gang,\ LIU\ Jian,\ CAO\ Li\|xin ( School of Mech. Eng., Dalian Univ. of Technol., Dalian 116024, China )

【机构】 大连理工大学机械工程学院!辽宁大连116024

【摘要】 证明了在任意交叉角、母面为任意曲面的一般条件下 ,二次包络都必然可以形成奇点共轭 ;并给出了瞬时接触线的具体表达式 .构造了一映射空间 ,在此空间内的分析表明 ,奇点邻域接触线的几何性态与映射曲面的微分结构存在必然的联系

【Abstract】 It has been proved that the conjugation in singular point must be formed on conditions that crossing angle and generating surface are arbitrary.The concrete expressions of the instantaneous contact curves have been represented. Mapping space is given.Under this space, the certain relations between the geometric properties of the singular point neighbourhood contact curves and the differential construction of the mapping surface are tested.

  • 【文献出处】 大连理工大学学报 ,JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,2000年02期
  • 【分类号】TH132.4
  • 【下载频次】55
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