TABLEM1

Format

Alternative Format for SCALE and OFFSET

Example 1

Example 2

Definitions

Comments

1. $xi$ must be in either ascending or descending order, but not both.
2. Discontinuities may be specified between any two points except the two start points or two end points. For example, in Figure 1, discontinuities are allowed only between points $x2$ through $x7$ . Also, if $y$ is evaluated at a discontinuity, then the average value of $y$ is used. In Figure 1, the value of $y$ at $x=x3$ is $y=\left(y3+y4\right)/2$ .
3. At least one continuation entry must be specified.
4. 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.
5. For FLAT=0 (default), TABLEM1 uses the algorithm. 6:
   $$y=yT\mathit{(}x\mathit{)}$$
   Where,

   $x$

   Input to the table

   $y$

   Is returned

   The table look-up is performed using linear interpolation within the table and linear extrapolation outside the table using the two start or end points (see Figure 1). No warning messages are issued, if the table data is input incorrectly.

   
   
   

   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.

6. In a nonlinear heat transfer analysis, TABLEM1 uses the following algorithm:
   $$y=z\hspace{0.17em}[yT\mathit{(}x\mathit{)}]$$
   Where,

   $x$

   Input to the table

   $y$

   Is returned

   $z$

   Is the corresponding entity value (for example, conductivity) from the MAT4 entry

   This TABLEM1 entry when referenced on the MATT4 entry specifies corresponding multipliers to generate the final material properties ( $y$ ) for various $x$ values.

7. This card is represented as a load collector in HyperMesh.
8. SCALE and OFFSET continuation lines are optional and cannot be put behind actual table data.
9. The values of scale_x or scale_y cannot be set to zero.
10. By scaling and offset, the new value is scale_x( $xi$ + offset_x), and scale_y( $yi$ + offset_y).