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This command is used to define a space curve which varies over a surface.
The user may specify a value at each corner of the surface or an individual
line space curve for one or more of the surface's edges.
Type | Parameters |
| |
CORNERS | a1, [a2, [a3, [a4]]] |
LINE | L1 Parameters as for line space curve except LIST FILE |
| L2 Parameters as for line space curve except LIST FILE |
| L3 Parameters as for line space curve except LIST FILE |
| L4 Parameters as for line space curve except LIST FILE |
scurve | = | name of the space curve |
a1-a4 | = | amplitude of space curve at corner n |
L1-L4 | = | Local side identifier for surface |
Figure 2.31:
Definition of a surface CORNERS space curve
|
Figure 2.32:
Definition of a surface LINE space curve
|
Notes:
- 1.
- Valid range
When the space curve is defined using the sides rather than the corners, the space curve
is only valid in the range between Umin and Umax for each side.
- 2.
- Default names
If no name is entered a default name is created, this is SCn
where n is a count of defined space curves. The default name
can be changed with the CONSTRUCT NAME command.
- 3.
- Interaction with loads
A surface space curve will multiply a load at a node, element face centroid or
element centroid (depending upon the load type) by the
value of the space curve at that point in space.
- 4.
- Interaction with load masks
A surface load mask will compress a surface space curve so that all of the curve
fits within the load mask limits. A global load mask will truncate a surface
space curve.
- 5.
- List space curves
There is a limit of four data points (ie 8 values) on a LIST type space curve
under the SURFACE LINE option.
- 6.
- Viewing space curves
Space curves may be viewed either by applying them to a load and using the command
LABEL MESH LOADS or by using the command UTILITY GRAPH SCURVE L1-L4.
- 7.
- Evaluation of SURFACE CORNERS space curves
The space curve value for these curve types is evaluated by linear interpolation
of the values a1-a4 over the surface.
- 8.
- Evaluation of SURFACE LINE space curves
The evaluation of SURFACE LINE space curves varies according to how many and which lines
on the surface have been assigned a curve.
Figure 2.33:
Evaluation of SURFACE LINE space curve
|
- One curve on one side:
S = f1(u) or f2(v) or f3(u) or f4(v)
- Two curves on opposite sides:
S = f1(u) + v*(f3(u)-f1(u)) or
S = f4(v) + u*(f2(v)-f4(v))
- Two curves on adjacent sides:
S = f1(u) * f2(v) or
S = f2(v) * f3(u) etc.
- Three curves
S1 = f1(u) + v*(f3(u)-f1(u))
S2 = f2(v)
S = (S1 + S2)/2 etc.
- Four curves:
S1 = f1(u) + v*(f3(u)-f1(u))
S2 = f2(v) + u*(f4(v)-f2(v))
S = (S1 + S2)/2
- 9.
- Permitted surface topologies
The surface space curve can only be applied to four-sided surfaces with the
topologies indicated in the following figures. The sides of the surfaces can be combined lines.
Figure 2.34:
Flat surface with four straight sides
|
Figure 2.35:
Flat surface with two straight sides and two constant radius arc sides
|
Figure 2.36:
Cylindrical surface with two straight sides and two constant radius arc sides
|
Figure 2.37:
Flat surface with one constant radius arc and one degenerate side
|
Examples:
- 1.
- CONSTRUCT SCURVE SC1 SURFACE LINE L1 NORMAL 3
CONSTRUCT SCURVE SC1 SURFACE LINE L2 LIST 0 1 1 0
Figure 2.38:
SURFACE LINE space curve
|
See also the following commands
'CONSTRUCT NAME'
'CONSTRUCT LMASK'
'CONSTRUCT TCURVE'
'PROPERTY ATTACH'
'PROPERTY LOAD'
'UTILITY DELETE'
'UTILITY TABULATE'
Next: CONSTRUCT SET
Up: CONSTRUCT SCURVE
Previous: CONSTRUCT SCURVE [scurve] LINE Type Parameters
Femsys Limited
1st October 1999