Professional paper

A New Approach to the Computer Aided Calculation of Points on the Envelope Helical Surface Characteristics

Dagmar Szarková ; Mechanical Engineering Faculty, Slovak Technical University, Bratislava, Slovakia

Abstract

Presented calculations and the choice of variables u,v iz [0,1] as curvilinear on the given basic surface φ enable the creation of a versatile programme for the graphical processing of the characteristics not only of the envelope helical, but also rotational surface F defined by the basic rotational surface φ. Basic surface φ can be generated from the basic curve c determined by (1) applying a class of revolutions about the coordinate axis x defined by the matrix
T_R(v), for v iz [0,1] (2), that is positioned in the space by the transformation T (3). The envelope helical surface F can be created by helical movement of the points on the characteristics. The axis o of the helical movement located into the coordinate axis z is the axis of the surface F.

Keywords

envelope surface; envelope helical surface; envelope rotational

Hrčak ID:

166503

URI

https://hrcak.srce.hr/166503

Publication date:

25.1.2000.

Article data in other languages: croatian

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