The general theory and method to construct the developable tangent curved surface of rotary surface and mapping analysis between them are put forward systematically, the mathematical model and mapping relationship of the developable tangent cylinder and developable tangent cone of rotary surface are established. The differential equations of the exireme value mapping curve and equidistant mapping curve are put forward according to the theory of differential length ratio between the rotary surface and its developable tangent curved surface. The deformation of mapping will be grasped accurately by the whole and local deformation analysis.%论文系统地提出了构造回转曲面的可展切曲面及它们间映射分析的理论与方法,建立了回转曲面可展切柱面和可展切锥面的数学模型以及曲面间的映射关系.根据回转曲面及其可展切曲面间微分长度比的理论分析,推出了映射中极值映射曲线和等距映射曲线的微分方程,通过整体和局部的变形分析,可以准确地掌握回转曲面与其可展切曲面间映射中的变形情况.
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