27 Point Cells

27 point cells are complex. Instead of giving worked examples, I am going to present aids to understanding Plop's results for a 27 point cell. I will use as an example, the cell specified by this Plop setup file.

The first image shows how the support points are assigned to nine rings and labels the triangles with their part numbers. Each point is labeled, in black, with its corresponding ring number. Each triangle is labeled in magenta with its part number.

Diagram of Ring Assignments

The rings are defined on Plop's Cell Design tab as shown in these screen shots..


The second image shows the support point radii, r0, r1, r2, r3, r4 and the radii and angles to the triangle pivots. Note that the triangle pivot coordinates are denoted in Plop's Part Dimensions plots as "Radius of CG" and "Angle of CG".

Diagram of Support Point Radii and Part CG Radii and Angles


The third image shows the angles a0p and a0m.

Diagram of First Two Angle Variables


The fourth image shows the angles a1p and a1m.

Diagram of Second Two Angle Variables


The fifth image shows the angles a2p and a2m.

Diagram of Third Two Angle Variables


The sixth image shows the angles a4p and a4m.
Note: in this setup, there are no angles labeled a3p and a3m.

Diagram of Fourth Two Angle Variables



© 2005 Mark D. Holm