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首页> 外文期刊>Advances in Mechanical Engineering >On Helical Projection and Its Application in Screw Modeling
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On Helical Projection and Its Application in Screw Modeling

机译：螺旋投影及其在螺旋建模中的应用

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As helical surfaces, in their many and varied forms, are finding more and more applications in engineering, new approaches to their efficient design and manufacture are desired. To that end, the helical projection method that uses curvilinear projection lines to map a space object to a plane is examined in this paper, focusing on its mathematical model and characteristics in terms of graphical representation of helical objects. A number of interesting projective properties are identified in regard to straight lines, curves, and planes, and then the method is further investigated with respect to screws. The result shows that the helical projection of a cylindrical screw turns out to be a Jordan curve, which is determined by the screw's axial profile and number of flights. Based on the projection theory, a practical approach to the modeling of screws and helical surfaces is proposed and illustrated with examples, and its possible application in screw manufacturing is discussed.
机译：随着螺旋表面以其多种多样的形式在工程中发现越来越多的应用，需要对其有效设计和制造的新方法。为此，本文研究了使用曲线投影线将空间对象映射到平面的螺旋投影方法，着重于其数学模型和螺旋对象的图形表示特性。在直线，曲线和平面方面确定了许多有趣的投影特性，然后针对螺钉进一步研究了该方法。结果表明，圆柱螺钉的螺旋投影结果为约旦曲线，该曲线由螺钉的轴向轮廓和螺纹数确定。基于投影理论，提出了一种实用的螺钉和螺旋表面建模方法，并通过实例进行了说明，并讨论了其在螺钉制造中的可能应用。

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