The Classification of Spiral Surfaces Based on Particle Forming Motion and Parametrically Accurate Modeling
Abstract
Spiral is widely used in engineering. Because of the complexity of its forming movements and diversity of forms, there is no unified mathematical model that can express the motion synthesis relationship of all spiral surface’s forming movements. The obstacles, to some extent, are just on the way of deep understanding and application of it. The authors analyze the spiral curves with different forming motions, categorizing the spiral surface into three kinds with different combinations of the forming movements of the particle, two rectilinear motions with a circular motion, two circular motions with a rectilinear motion, and two circular motions. The relatively unified mathematical models of spiral curves are built by the use of differential geometry theory of partial curves and surfaces, motion synthesis theory of kinematics and the modeling theory of complex surface. Accurate parametric modeling is carried out with Pro/TOOLKIT of Pro/E, thus intuitively revealing the characteristics of movement relationship between the movements and synthesis relations of spiral curve surface.
Keywords
Spiral Surface, Particle Forming Movement, Classification, Parametrically Accurate Modeling
DOI
10.12783/dtcse/icmsie2017/18793
10.12783/dtcse/icmsie2017/18793
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