Context:
The minimum cluster width is often applied for avoiding high oscillations
in the thickness distribution and that the structure has subcomponents
with a minimum width.
In addition, the minimum cluster width for the width control can
partly circumvent the two following problems:
-
First, checkerboards might appear if one is applying a minimal value
of the lower bound of the thickness and applying lower-order shell elements
as 3 node triangular shell elements. When using higher-order shell elements
or the lower bound of the thickness is not minimal, checkerboards
are not frequent.
-
Secondly, a minimum cluster width ensures uniqueness of the optimization
solution independent upon the mesh size and discretization. A coarse
mesh and a fine mesh lead to the same optimized structure if the minimum
cluster widths for both cases are set to the same absolute size. Note
that the size in both cases should be larger than the average element
edge length.
Note:
Thin sheet thickness is controlled by lower and upper bound settings
and not by the filter which controls the width.