Equimomental Polygonal Systems

Two systems of rigid bodies are called equimomental if their mass, the position of their center of mass and their moment of inertia are identical with respect to any straight line in space.

During a synthesis of planar mechanisms, ternary, quaternary, quinary (...) members are initially abstracted as polygons. Now, in order to be able to make well-approximated statements about the dynamic behavior at a rather early stage of link design, the placement of suitable point-masses in joint centers and link centroids is a simple and effective measure.

Against such an application-specific background, a dimensioning procedure for those point masses is now discussed in this paper. Their respective masses can be derived pragmatically from the area and shape of the polygonal links used. The presented method is robust, efficient and can also be applied to non-simple polygons.

Zitieren

Zitierform:
Zitierform konnte nicht geladen werden.

Rechte

Rechteinhaber:

Der Autor

Nutzung und Vervielfältigung:
Dieses Werk kann unter einer
CC BY 4.0 LogoCreative Commons Namensnennung 4.0 Lizenz (CC BY 4.0)
genutzt werden.