/FUNCT_SMOOTH

#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/FUNCT_SMOOTH/1
Displacement
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#            Ascalex             Fscaley             Ashiftx             Fshifty   

#                  X                   Y  
                   0                   0                                                            
                  .2                  60				   
                  .4                  20				   
                  .5                  70				   
                  .6                  70				   
                  .8                 0.0				   
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA

Figure 1. Example Smoothstep Function Based on Input

1. Points 1 and 2 are required.
2. A function and a table cannot share the same identifier.
3. This function can be used with these options:

   /IMPDISP, /IMPVEL, /IMPACC, /IMPDISP/FGEO, /IMPVEL/FGEO, /IMPVEL/LAGMUL, /PLOAD, /CLOAD, /GRAV, /IMPTEMP, and /IMPFLUX

4. For an abscissa smaller than X₁, the ordinate value is Y₁.
5. For an abscissa larger than X_N, the ordinate value is Y_N.
6. The function is scaled first and shifted afterwards, as:(1)
   $$X_{new}=X_{old}\cdot Ascal{e}_x+Ashif{t}_x$$
   (2)
   $$Y_{new}=Y_{old}\cdot Fscal{e}_y+Fshif{t}_y$$

   Where, $X_{old}$ and $Y_{old}$ are values from the function.

7. The ordinate is calculated for each time step which results in a smooth function.
8. The function is calculated for using two consecutive input data points $i$ and $i+1$ as:

   $\begin{array}{l}\text{If }x\le X_1\text{ then }y=Y_1\\ {\text{If X}}_1<x<X_N\text{ then }y=y_i+\left(y_{i+1}-y_i\right)d^3\left(10-15d+6d^2\right)\\ \text{where, }d=\frac{x-x_i}{x_{i+1}-x_i}\\ \text{If }x\ge X_N\text{ then }y=Y_N\end{array}$