Original scientific paper

Synthesis of Grassmann Chain Mechanisms in the Plane Using the Ausdehnungslehre and Mathematica

Gloria Bitterfeld ; South-Oakleigh, Victoria, Australia

Abstract

The Grassmannian mathematical system, well known as the Ausdehnungslehre (Linear Extension Theory) together with the symbolic computation program Mathematica is used to synthesise a class of planer mechanisms, named Grassmann mechanisms. The objective of investigating Grassmann mechanisms is to be able to compute easily the design parameters of the mechanism from given trajectory points. Mechanisms in this class have moving links rotating on pivots and intersecting tracks. The paper reports on the simplest type of synthesis result of Grassmann Chain mechanisms using four given precision points for each mechanism apart to determine the design parameters of the mechanism of the class whose trajectory passes through those points.

Keywords

Hrčak ID:

166345

URI

https://hrcak.srce.hr/166345

Publication date:

20.1.1998.

Article data in other languages: croatian

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