ANSYS 14.5 Design Exploration User Guide.pdf ​

【实例截图】

【核心代码】

Table of Contents
DesignXplorer Overview ............................................................................................................................ 1
Introduction to the ANSYS DesignXplorer Workspace .............................................................................. 1
Available Tools .................................................................................................................................. 2
Design Exploration: a Typical Session, What to Look For? .................................................................... 3
Initial Simulation: Analysis of the Product Under all Operating Conditions .......................................... 3
Identify Design Candidates ............................................................................................................... 3
Assess the Robustness of the Design Candidates ............................................................................... 4
Determine the Number of Parameters ............................................................................................... 5
Increase the Response Surface Accuracy ........................................................................................... 5
Limitations ............................................................................................................................................. 5
ANSYS DesignXplorer Licensing Requirements ........................................................................................ 5
The User Interface .................................................................................................................................. 6
Parameters ........................................................................................................................................... 10
Design Points ....................................................................................................................................... 12
Response Points ................................................................................................................................... 13
Workflow .............................................................................................................................................. 13
Adding Design Exploration Templates to the Schematic .................................................................. 14
Duplicating Existing DesignXplorer Systems .................................................................................... 14
Running Design Exploration Analyses ............................................................................................. 15
Monitoring Design Exploration Analyses ......................................................................................... 15
Reporting on the Design Exploration Analysis ................................................................................. 16
Using DesignXplorer Charts .................................................................................................................. 16
Exporting and Importing Data .............................................................................................................. 18
Design Exploration Options .................................................................................................................. 19
DesignXplorer Systems and Components ................................................................................................ 25
What is Design Exploration? .................................................................................................................. 25
DesignXplorer Systems ......................................................................................................................... 25
Parameters Correlation System ....................................................................................................... 25
Response Surface System ............................................................................................................... 26
Goal Driven Optimization Systems .................................................................................................. 26
Six Sigma Analysis System ............................................................................................................... 26
DesignXplorer Components .................................................................................................................. 27
Design of Experiments Component Reference ................................................................................. 27
Parameters Parallel Chart .......................................................................................................... 28
Design Points vs Parameter Chart .............................................................................................. 29
Parameters Correlation Component Reference ................................................................................ 29
Correlation Scatter Chart ........................................................................................................... 31
Correlation Matrix Chart ........................................................................................................... 31
Determination Matrix Chart ...................................................................................................... 32
Sensitivities Chart ..................................................................................................................... 32
Determination Histogram Chart ................................................................................................ 32
Response Surface Component Reference ........................................................................................ 33
Response Chart ........................................................................................................................ 36
Local Sensitivity Charts ............................................................................................................. 36
Spider Chart ............................................................................................................................. 37
Optimization Component Reference ............................................................................................... 37
History Chart ............................................................................................................................ 40
Candidate Points Results ........................................................................................................... 40
Tradeoff Chart .......................................................................................................................... 41
Samples Chart .......................................................................................................................... 42
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Sensitivities Chart ..................................................................................................................... 42
Six Sigma Analysis Component Reference ....................................................................................... 42
Design of Experiments (SSA) ..................................................................................................... 43
Six Sigma Analysis .................................................................................................................... 44
Sensitivities Chart (SSA) ............................................................................................................ 46
Using Parameters Correlation .................................................................................................................. 47
Sample Generation ............................................................................................................................... 48
Running a Parameters Correlation ......................................................................................................... 49
Viewing the Quadratic Correlation Information ..................................................................................... 50
Determining Significance ...................................................................................................................... 50
Viewing Significance and Correlation Values .......................................................................................... 50
Parameters Correlation Charts ............................................................................................................... 51
Using the Correlation Matrix Chart .................................................................................................. 51
Using the Correlation Scatter Chart ................................................................................................. 52
Using the Determination Matrix Chart ............................................................................................. 53
Using the Determination Histogram Chart ...................................................................................... 54
Using the Sensitivities Chart ............................................................................................................ 55
Using Design of Experiments ................................................................................................................... 57
Setting Up the Design of Experiments ................................................................................................... 57
Design of Experiments Types ................................................................................................................ 58
Central Composite Design (CCD) ..................................................................................................... 58
Optimal Space-Filling Design (OSF) ................................................................................................. 59
Box-Behnken Design ...................................................................................................................... 60
Custom .......................................................................................................................................... 60
Custom   Sampling ........................................................................................................................ 61
Sparse Grid Initialization ................................................................................................................. 61
Latin Hypercube Sampling Design (LHS) ......................................................................................... 62
Comparison of LHS and OSF DOE Types ................................................................................................. 62
Using a Central Composite Design DOE ................................................................................................. 63
Upper and Lower Locations of DOE Points ............................................................................................. 65
DOE Matrix Generation ......................................................................................................................... 66
Importing and Copying Design Points ................................................................................................... 66
Using Response Surfaces .......................................................................................................................... 69
Meta-Model Types ................................................................................................................................ 69
Standard Response Surface - Full 2nd-Order Polynomial .................................................................. 69
Kriging ........................................................................................................................................... 70
Using Kriging Auto-Refinement ................................................................................................ 70
Kriging Auto-Refinement Properties .......................................................................................... 72
Kriging Convergence Curves Chart ............................................................................................ 73
Non-Parametric Regression ............................................................................................................. 74
Neural Network .............................................................................................................................. 74
Sparse Grid ..................................................................................................................................... 75
Using Sparse Grid Refinement ................................................................................................... 77
Sparse Grid Auto-Refinement Properties ................................................................................... 78
Sparse Grid Convergence Curves Chart ..................................................................................... 79
Meta-Model Refinement ....................................................................................................................... 80
Working with Meta-Models ............................................................................................................. 80
Changing the Meta-Model .............................................................................................................. 81
Performing a Manual Refinement .................................................................................................... 83
Refine the Model Using the Kriging Meta-Model ............................................................................. 83
Goodness of Fit ..................................................................................................................................... 84
Predicted versus Observed Chart .................................................................................................... 87
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Design Exploration User Guide
Advanced Goodness of Fit Report ................................................................................................... 88
Using Verification Points ................................................................................................................. 88
Min-Max Search .................................................................................................................................... 90
Response Surface Charts ....................................................................................................................... 91
Using the Response Chart ............................................................................................................... 93
Understanding the Response Chart Display ............................................................................... 93
Using the 2D Contour Graph Response Chart ............................................................................ 96
Using the 3D Contour Graph Response Chart ............................................................................ 96
Using the 2D Slices Response Chart ........................................................................................... 98
Response Chart: Example ........................................................................................................ 101
Response Chart: Properties ..................................................................................................... 102
Using the Spider Chart .................................................................................................................. 103
Using Local Sensitivity Charts ........................................................................................................ 103
Understanding the Local Sensitivities Display .......................................................................... 104
Using the Local Sensitivity Chart ............................................................................................. 106
Local Sensitivity Chart: Example ........................................................................................ 107
Local Sensitivity Chart: Properties ...................................................................................... 108
Using the Local Sensitivity Curves Chart .................................................................................. 109
Local Sensitivity Curves Chart: Example ............................................................................. 111
Local Sensitivity Curves Chart: Properties ........................................................................... 114
Using Goal Driven Optimization ............................................................................................................. 117
Creating a Goal Driven Optimization System ....................................................................................... 118
Transferring Design Point Data for Direct Optimization ........................................................................ 119
Goal Driven Optimization Methods ..................................................................................................... 120
Performing a Screening Optimization ............................................................................................ 121
Performing a MOGA Optimization ................................................................................................. 123
Performing an NLPQL Optimization ............................................................................................... 125
Performing an MISQP Optimization ............................................................................................... 127
Performing an Adaptive Single-Objective Optimization ................................................................. 129
Performing an Adaptive Multiple-Objective Optimization .............................................................. 131
Defining the Optimization Domain ..................................................................................................... 133
Defining Optimization Objectives and Constraints ............................................................................... 134
Working with Candidate Points ........................................................................................................... 139
Viewing and Editing Candidate Points in the Table View ................................................................ 139
Retrieving Intermediate Candidate Points ..................................................................................... 140
Creating New Design, Response, Refinement, or Verification Points from Candidates ....................... 141
Verify Candidates by Design Point Update ..................................................................................... 142
Goal Driven Optimization Charts and Results ....................................................................................... 143
Using the History Chart ................................................................................................................. 143
Working with the History Chart in the Chart View .................................................................... 144
Viewing History Chart Sparklines in the Outline View ............................................................... 147
Using the Objective/Constraint History Chart .......................................................................... 148
Using the Input Parameter History Chart ................................................................................. 149
Using the Candidate Points Results ............................................................................................... 150
Understanding the Candidate Points Results Display ............................................................... 150
Candidate Points Results: Properties ........................................................................................ 151
Using the Sensitivities Chart (GDO) ............................................................................................... 152
Using the Tradeoff Chart ............................................................................................................... 153
Using the Samples Chart ............................................................................................................... 155
Using Six Sigma Analysis ........................................................................................................................ 157
Performing a Six Sigma Analysis .......................................................................................................... 157
Using Statistical Postprocessing .......................................................................................................... 157
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Design Exploration User Guide
Tables (SSA) .................................................................................................................................. 157
Using Parameter Charts (SSA) ........................................................................................................ 158
Using the Sensitivities Chart (SSA) ................................................................................................. 158
Statistical Measures ............................................................................................................................ 158
Working with DesignXplorer .................................................................................................................. 161
Working with Parameters .................................................................................................................... 161
Input Parameters .......................................................................................................................... 162
Defining Discrete Input Parameters ......................................................................................... 163
Defining Continuous Input Parameters .................................................................................... 164
Defining Manufacturable Values .............................................................................................. 164
Changing Input Parameters .................................................................................................... 166
Changing Manufacturable Values ............................................................................................ 167
Setting Up Design Variables .......................................................................................................... 167
Setting Up Uncertainty Variables ................................................................................................... 167
Output Parameters ....................................................................................................................... 169
Working with Design Points ................................................................................................................ 169
Design Point Update Order ........................................................................................................... 171
Design Point Update Location ....................................................................................................... 171
Automatically Saving Generated Design Points to the Parameter Set .............................................. 172
Inserting Design Points ................................................................................................................. 172
Cache of Design Point Results ....................................................................................................... 173
Raw Optimization Data ................................................................................................................. 173
Design Point Log Files ................................................................................................................... 174
Failed Design Points ...................................................................................................................... 176
Preventing Design Point Update Failures ................................................................................. 176
Preserving Design Points and Files .......................................................................................... 178
Handling Failed Design Points ................................................................................................. 178
Working with Sensitivities ................................................................................................................... 180
Working with Tables ............................................................................................................................ 181
Editable Output Parameter Values ................................................................................................. 181
Copy/Paste ................................................................................................................................... 182
Exporting Table Data ..................................................................................................................... 182
Importing Data from a CSV File ..................................................................................................... 182
Working with Remote Solve Manager and DesignXplorer .................................................................... 183
Working with Design Exploration Project Reports ................................................................................ 185
Project Report Content ................................................................................................................. 185
Working with Project Reports ........................................................................................................ 189
DesignXplorer Theory ............................................................................................................................. 191
Understanding Response Surfaces ...................................................................................................... 191
Central Composite Designs ........................................................................................................... 192
Box-Behnken Designs ................................................................................................................... 193
Standard Response Surface - Full 2nd-Order Polynomial algorithms ............................................... 194
Kriging Algorithms ....................................................................................................................... 195
Non-Parametric Regression Algorithms ......................................................................................... 196
Sparse Grid Algorithms ................................................................................................................. 198
Understanding Goal Driven Optimization ............................................................................................ 202
Principles (GDO) ........................................................................................................................... 202
Guidelines and Best Practices (GDO) .............................................................................................. 205
Goal Driven Optimization Theory .................................................................................................. 207
Shifted Hammersley Sampling (Screening) .............................................................................. 208
Pareto Dominance in Multi-Objective Optimization ................................................................. 209
Multi-Objective Genetic Algorithm (MOGA ) ............................................................................ 210
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Design Exploration User Guide
Nonlinear Programming by Quadratic Lagrangian (NLPQL) ...................................................... 210
Mixed-Integer Sequential Quadratic Programming (MISQP) ..................................................... 217
Adaptive Single-Objective Optimization (ASO) ........................................................................ 218
Adaptive Multiple-Objective Optimization (AMO) .................................................................... 220
Decision Support Process ........................................................................................................ 222
Understanding Six Sigma Analysis ....................................................................................................... 226
Principles (SSA) ............................................................................................................................. 227
Guidelines for Selecting SSA Variables ........................................................................................... 228
Choosing and Defining Uncertainty Variables .......................................................................... 229
Uncertainty Variables for Response Surface Analyses ......................................................... 229
Choosing a Distribution for a Random Variable .................................................................. 229
Measured Data ........................................................................................................... 229
Mean Values, Standard Deviation, Exceedance Values ................................................... 230
No Data ...................................................................................................................... 230
Distribution Functions ...................................................................................................... 232
Sample Generation ....................................................................................................................... 235
Weighted Latin Hypercube Sampling ............................................................................................ 236
Postprocessing SSA Results ........................................................................................................... 236
Histogram .............................................................................................................................. 236
Cumulative Distribution Function ............................................................................................ 237
Probability Table ..................................................................................................................... 238
Statistical Sensitivities in a Six Sigma Analysis .......................................................................... 239
Six Sigma Analysis Theory ............................................................................................................. 240
Troubleshooting ..................................................................................................................................... 247
Appendices ............................................................................................................................................. 249
Extended CSV File Format ................................................................................................................... 249
Index ........................................................................................................................................................ 251