QUAD, NODE1
, NINTR
, NODE2
, NFILL
, NSTRT
, NINC
, PKFAC
Generates a quadratic line of nodes from three nodes.
NODE1
Begin fill-in from this node location. If NODE1
=
P, graphical picking is enabled and all remaining command fields are ignored
(valid only in the GUI).
NINTR
Intermediate or guiding node. Quadratic curve will pass through
this location. NINTR
may have any node number
and any location. If the quadratic line also generates a node with number NINTR
,
the generated location overrides the previous NINTR
location.
NODE2
End quadratic fill-in at this node location.
NFILL
Fill-in NFILL
nodes between NODE1
and NODE2
(defaults
to |NODE2
-NODE1
|-1).
NFILL
must be positive.
NSTRT
Node number assigned to first filled-in node (defaults to NODE1
+ NINC
).
NINC
Add this increment to each of the remaining filled-in node
numbers (may be positive or negative). Defaults to (NODE2
-NODE1
)/(NFILL
+ 1), i.e., linear interpolation.
PKFAC
Peak location factor. If PKFAC
=0.5,
the peak of the quadratic shape occurs at the NINTR
location.
If 0.0 < PKFAC
< 0.5, the peak occurs to
the NODE2
side of the NINTR
location.
If 0.5 < PKFAC
< 1.0, the peak occurs to
the NODE1
side of the NINTR
location.
Defaults to 0.5.
Generates a quadratic line of nodes (in the active coordinate system) from three nodes. The three nodes determine the plane of the curve and may have been defined in any coordinate system. Any number of nodes may be filled-in and any node number sequence may be assigned.
The quadratic line feature uses three nodes (NODE1
,NINTR
,NODE2
) to determine the plane of the curve. The curve passes through the three
points, beginning from NODE1
, through the intermediate
(or guiding) point NINTR
, and toward NODE2
.
Generated nodes are also quadratically spaced. If the guiding node number is within the set being generated, it will be relocated according to the quadratic spacing.
The peak location factor is used to determine how the quadratic fits
through the three points. Various nodal progressions can be obtained by different
combinations of PKFAC
and the guiding node location.
If the guiding node is at mid-length between NODE1
and NODE2
,
0.293
PKFAC
<
0.707 will ensure that all generated nodes fall within the NODE1
,NODE2
bounds.
In the limit, as PKFAC
approaches 0.0, the peak
approaches the line through NODE1
and NINTR
at
an infinite distance from NODE1
. The QUAD command
generates quadratic lines of nodes, which in turn may be used as a base line
for generating irregular surfaces of nodes (by repeating [*REPEAT],
generating [NGEN, NSCALE], etc.). Irregular
surfaces may also be generated with the meshing commands.