曲面片的可展性能及其应用

Developable Behavior of Curved Surface and It's Application

通过对曲面片可展性能及其应用的研究,在文献[1]的基础上更准确地给出了用可展度定量度量曲面片可展性能的概念和方法,同时给出了可展度在不可展曲面近似展开中的应用。一方面可以在曲面展开之前估计近似展开的误差,从而合理选择展开范围;另一方面,基于最佳展开基点均匀分割曲面片可展度的假设,实现了近似展开中最佳展开基点的选取。

By the research on developable behavior of curved surface and it抯 application, based on the paper [1], this paper put forward the concept and method of developable behavior of curved surface with developable degree, meanwhile gave the application of developable degree on approximate development of undevelopable surface. Applying the developable degree, the development limits can be chosen rationally by estimating the error of development. Another side, based on the hypothesis that the best development base points uniformly divide development degree of curved surface, the best development base point can be chosen in approximate development.