文章基本信息

标题：The Method of High Accuracy Calculation of Robot Trajectory for the Complex Curves
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作者：Alexander Lozhkin ; Pavol Bozek ; Konstantin Maiorov 等
期刊名称：Management Systems in Production Engineering
电子版ISSN：2450-5781
出版年度：2020
卷号：28
期号：4
页码：247-252
DOI：10.2478/mspe-2020-0035
语种：English
出版社：De Gruyter Open
摘要：The geometric model accuracy is crucial for product design. More complex surfaces are represented by the approximation methods. On the contrary, the approximation methods reduce the design quality. A new alternative calculation method is proposed. The new method can calculate both conical sections and more complex curves. The researcher is able to get an analytical solution and not a sequence of points with the destruction of the object semantics. The new method is based on permutation and other symmetries and should have an origin in the internal properties of the space. The classical method consists of finding transformation parameters for symmetrical conic profiles, however a new procedure for parameters of linear transformations determination was acquired by another method. The main steps of the new method are theoretically presented in the paper. Since a double result is obtained in most stages, the new calculation method is easy to verify. Geometric modeling in the AutoCAD environment is shown briefly. The new calculation method can be used for most complex curves and linear transformations. Theoretical and practical researches are required additionally.
关键词：analytical method; linear transformations; planar complex curves; symmetries