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在机械设计与制造中 ,常遇到由一圆柱面运动生成的包络面是否能由另一半径不同的圆柱面运动来重新生成的问题 ,即圆柱族包络面的非等径重构问题。本文以等距曲面和包络理论为工具对此问题进行了研究。在得出包络面、轴迹曲面、等效轴迹曲面互为等距曲面的结论的基础上 ,研究了轴迹曲面可展与不可展两种情况下的非等径 (一次 )包络重构问题 ,得到了一些有价值的结论。然后研究并提出了两重包络重构方法。这些结论和方法对指导圆柱族包络面的设计与制造具有重要价值
In mechanical design and manufacturing, often encounter the envelope generated by a cylindrical motion can be generated by another cylindrical surface of different radius to regenerate the problem, that is, the cylindrical surface of the non-equiaxial reconstruction problem . In this paper, isometric surface and envelope theory as a tool to study this issue. On the basis of the conclusion that the envelope surface, the axis surface and the equivalent axis surface are equidistant surfaces, the non-equiaxed (primary) envelop Reconstruct the problem and get some valuable conclusions. Then we study and propose the double envelope reconstruction method. These conclusions and methods are of great value in guiding the design and manufacture of cylindrical envelope surfaces