Bulk Data Entry Defines a tabular function for material and friction
property.
Stress-strain curve in elasto-plastic material properties MATS1
and MATHF; Material curves on the MATHE Bulk
Data Entry; Tension-Compression Stress-Strain curves on MCIRON
Bulk Data Entry, or Friction table versus Pseudo time in nonlinear analysis on the
MU1 field of PCONT entry.
Format
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
TABLES1
TID
FLAT
x1
y1
x2
y2
x3
y3
x4
y4
x5
y5
etc.
etc.
etc.
etc.
etc.
etc.
Example
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
TABLES1
32
-3.0
6.9
2.0
5.6
3.0
5.6
ENDT
Definitions
Field
Contents
SI Unit Example
TID
Table identification
number.
No default (Integer > 0)
FLAT
Specifies the handling method for y-values outside the specified
range of x-values in the table.
=0 (Default)
If an x-value input is outside the range of x-values specified on the
table, the corresponding y-value look up is performed using linear
extrapolation from the two start or two end points.
=FLAT or 1
If an x-value input is outside the range of x-values specified on the
table, the corresponding y-value is equal to the start or end points,
respectively.
x#,
y#
Tabular values.
No
default (Real, or ENDT)
Comments
must be in either ascending or descending order,
but not both.
Discontinuities between any two points
except the two starting points or two end points. For example, in Figure 1 discontinuities
are allowed only between points through . Also, if is evaluated at a discontinuity, the average
value of is used. In Figure 1, the value of at is .
At least one continuation entry must be
specified.
Any , pair may be ignored by placing
SKIP in either of the two fields used for that entry.
The end of the table is indicated by the
existence of ENDT in either of the two fields following the last
entry. An error is detected if any continuations follow the entry containing the
end-of-table flag ENDT.
For
FLAT=0 (default),
TABLES1 uses the algorithm:
Where,
Input to the table
Is returned
The table look-up is performed using interpolation within the
table and linear extrapolation outside the table using the two starting or
end points (Figure 1). The algorithms used for interpolation or extrapolation
is:
Where, and follow and .
For
FLAT=1, the same algorithm as
FLAT=0 is used, except that values
outside the range are not extrapolated. The corresponding start or end point
y-values are used for all y-values outside the range.
For TABLES1 referenced by
elasto-plastic material property MATS1,
additional requirements apply.
For TABLES1
referenced by cast iron material via MCIRON,
additional requirements apply.Figure 1. Example of Table Extrapolation and Discontinuity
Linear extrapolation is not used for
Fourier transform methods. The function is zero outside the range of the
table.
For frequency-dependent loads,
x# is measured in cycles per unit time.
Some warning or error messages are issued
if table data in input incorrectly. However, since TABLES1
can serve different and distinct purposes, error checking is limited.