Abstract
Based on the analysis of the helical surface movement forming principle, adopted synthesized modular modeling ideas, realized the construction of a complete helical surface mathematical model consisting of three core elements, element of the general mathematical model of rotator generatrix profile, element of the general mathematical model of characteristic line and element of the general mathematical model of transformation between the cross-section coordinate system and workpiece coordinate system. Generatrix of the linear-typed contour, the arc-typed contour, the higher order equation-typed contour, and the discrete point-typed contour was investigated systematically for the model. With the synthesized modular model, if the specific profile of a helical Component is given on the cross-section, it is of convenience and ease to obtain the concrete parametric model of the helical surface, simply by changing the parameter settings through the interface to acquire any types of helical surface model, thereby increasing the efficiency of modeling and providing technical support for the precise model of the helical surface with parameterization.
Published Version
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