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Design optimization   •   175


                                                  File.DB
                                                  ANSYS
                                                  database
                                                    file
                                                 SAVE   RESUME


                                          ANSYS
                                                  Model
                                                 database



                                                                       File.LOOP
                                                              OPEXE    Loop file
                         Analysis file           Optimization
                        (parametrically  OPEXE    database
                        defined model)                        OPEXE
                                                                       File.OPO
                                                                       Last loop
                                              OPSAVE   OPRESU           output


                                                File.OPT
                                               optimization
                                                 data file

                       Figure 5.2.  Optimization data flow.

                      5.2.2  oPTiMizATion MeThoDS

                      The ANSYS optimization procedure offers several methods and tools that
                      in various ways attempt to address the mathematical problem stated ear-
                      lier. ANSYS  optimization  methods perform actual  minimization of the
                      objective function of Equation 5.3. It will be shown that they transform
                      the constrained problem into an unconstrained one that is eventually min-
                      imized. Design tools, on the other hand, do not directly perform minimi-
                      zation. Use of the tools offer alternate means for understanding design
                      space and the behavior of the dependent variables. Methods and tools are
                      discussed in the following sections.
                          The ANSYS program uses two optimization methods to accommo-
                      date a wide range of optimization problems:

                        •  The subproblem approximation method is an advanced zero-order
                           method that can be efficiently applied to most engineering problems.
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