Professional paper

Computer Aided Calculation of Characteristics Points of Some Envelope Helical Surfaces

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

Abstract

Presented calculations and the choice of variables u,v iz [0,1] of the given basic surface j enable the creation of a versatile programme for the graphical processing of the characteristics not only of the helical but also of the rotational envelope surface F defined by the conical or cylindrical surface. Basic (conical or cylindrical) surface j can be generated from the basic curve defined by the vector function r(u), za u iz [0,1] (1) applying a class of transformations defined by the matrix T(v), for v iz [0,1] (2). The combined analytical and synthetical method resultes in the parametric equations of the characteristics (3) and in the coordinates of the meridian section points.

Keywords

envelope surface; characteristics; meridian section; creative space; creative representation

Hrčak ID:

166371

URI

https://hrcak.srce.hr/166371

Publication date:

20.1.1998.

Article data in other languages: croatian

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