TABLEG

Bulk Data Entry Defines a general tabular function for use in supported reference entries.

Format


(1)	(2)	(3)	(4)	(5)	(6)
TABLEG	`TID`	`LABEL`	`TYPE`	`XYTYPE`	`FLAT`
	`x1`	`y1`
	`x2`	`y2`
	etc.	etc.

Example


(1)	(2)	(3)
TABLEG	32
	-3.0	6.9
	2.0	5.6

Definitions


Field	Contents	SI Unit Example
`TID`	Table identification number. No default (Integer > 0)
`LABEL`	Specify a name or label for the table. Default = blank (<string> or blank)
`TYPE`	Specifies a linear or logarithmic interpolation for the x-axis and y-axis. 4, 5 LINEAR (Default) LOG SMOOTH
`XYTYPE`	Specifies how the X-axis and Y-axis are interpreted. XY (Default) First column is the X-axis and the second column is the Y-axis YX First column is the Y-axis and the second column is the X-axis
`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)

Comments

$x i$ $x i$ must be in either ascending or descending order, but not both.
Discontinuities may be specified between any two points except the two starting points or two end points. Also, if $y$ $y$ is evaluated at a discontinuity, the average value of $y$ $y$ is used. In Figure 1, the value of $y$ $y$ at $x = x 3$ $x = x 3$ is $y$ $y$ = ( $y = (y 3 + y 4) / 2$ $y = (y 3 + y 4) / 2$ .
At least one continuation entry must be specified.

For FLAT=0 (default), TABLED1 uses the algorithm:

y = y_{T} (x)

$y = y_{T} (x)$

Where,

$x$ $x$: Input to the table
$y$ $y$: 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 are:


X-Axis	Y-Axis	$y_{T} (x)$ $y_{T} (x)$
Linear	Linear	$\frac{(x_{j} - x)}{(x_{j} - x_{i})} y_{i} + \frac{(x - x_{i})}{(x_{j} - x_{i})} y_{j}$ $\frac{(x_{j} - x)}{(x_{j} - x_{i})} y_{i} + \frac{(x - x_{i})}{(x_{j} - x_{i})} y_{j}$
Log	Log	$exp [\frac{ln (x_{j} / x)}{ln (x_{j} / x_{i})} ln y_{i} + \frac{ln (x / x_{i})}{ln (x_{j} / x_{i})} ln y_{j}]$ $\exp [\frac{\ln (x_{j} / x)}{\ln (x_{j} / x_{i})} \ln y_{i} + \frac{\ln (x / x_{i})}{\ln (x_{j} / x_{i})} \ln y_{j}]$
Linear	Smooth	$y_{i} + (y_{j} - y_{i}) \frac{{(x - x_{i})}^{3}}{{(x_{j} - x_{i})}^{3}} (10 - 15 \frac{(x - x_{i})}{(x_{j} - x_{i})} + 6 \frac{{(x - x_{i})}^{2}}{{(x_{j} - x_{i})}^{2}})$ $y_{i} + (y_{j} - y_{i}) \frac{{(x - x_{i})}^{3}}{{(x_{j} - x_{i})}^{3}} (10 - 15 \frac{(x - x_{i})}{(x_{j} - x_{i})} + 6 \frac{{(x - x_{i})}^{2}}{{(x_{j} - x_{i})}^{2}})$

Where, $x_{j}$ and $y_{j}$ follow $x_{i}$ and $y_{i}$ .

No warning messages are issued if table data is input incorrectly.

Figure 1. Example of Table Extrapolation and Discontinuity

SMOOTH option is only available for Explicit Dynamic Analysis (ANALYSIS=NLEXPL).
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.
Tabular values on an axis if TYPE =LOG must be positive. A fatal message will be issued if an axis has a tabular value ≤ 0.
TABLEG can be used in the following situations:
- TABLEG can be used instead of TABLED1, on the RLOAD and TLOAD Bulk Data Entries.
- TABLEG can be used instead of TABLEM1, on the MATT# entries.
- TABLEG can be used instead of TABLES1, on the MATS1, MCIRON or PCONT entries.
TABLEG identification numbers should be unique with regard to any other TABLE# entry. TABLEG should not have the same ID as any other TABLE# entry.
If there are any unused TABLEG entries in the input file, there will not be any warning in the .out file.