Page 87 - Using ANSYS for Finite Element Analysis Dynamic, Probabilistic, Design and Heat Transfer Analysis
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74  •   using ansys for finite eLement anaLysis

                (Continued  )
                 PDS term                      Description
                             Mathematically, the mean value is the arithmetic aver-
                              age of the data. The mean value also represents the
                              center of gravity of the data points. Another name for
                              the mean value is the expected value.
                             The statistical point where 50% of the data is below the
                              median value and the 50% is above.
                 Median      For symmetrical distribution functions (Gaussian, uni-
                  value       form, etc.) the median value and the mean value are
                              identical, while for nonsymmetrical distributions they
                              are different.
                             A measure of variability (dispersion or spread) about
                              the arithmetic mean value, often used to describe the
                              width of the scatter of a random output parameter or
                 Standard     of a statistical distribution function.
                  deviation
                             The larger the standard deviation, the wider the scatter
                              and the more likely it is that there are data values
                              further apart from the mean value.



                3.1.4   STePS FoR PRobAbiLiSTiC DeSign AnALySiS USing
                      ANSyS

                The usual process for probabilistic design consists of the following gen-
                eral steps:


                   1. Create  an  analysis  file  for use during looping.  The  file  should
                     represent a complete analysis sequence and must do the following:
                     •  Build the model parametrically (PREP7).
                     •  Obtain the solution(s) (SOLUTION).
                     •  Retrieve  and assign to  parameters  the quantities  that  will  be
                        used as RVs and RPs (POST1/POST26).
                   2. Establish  parameters  in  the ANSYS  database,  which  corre-
                     spond to those used in the analysis file. This step is typical, but not
                     required  (Begin  or PDS); however, if you skip this step, then the
                     parameter names are not available for selection in interactive mode.
                   3. Enter PDS and specify the analysis file (PDS).
                   4. Declare random input variables (PDS).
                   5. Visualize random input variables (PDS). Optional.
                   6. Specify any correlations between the RVs (PDS).
                   7. Specify random output parameters (PDS).
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