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ANSYS Advanced Analysis Techniques Guide ANSYS Advanced Analysis Techniques Guide ANSYS Release 10.0 002184 August 2005 ANSYS, Inc. and ANSYS Europe, Ltd. are UL registered ISO 9001:2000 Companies. ANSYS Advanced Analysis Techniques Guide ANSYS Release 10.0 ANSYS, Inc. Southpointe 275 Technology Drive Canonsburg, PA 15317 [email protected] http://www.ansys.com (T) 724-746-3304 (F) 724-514-9494 Copyright and Trademark Information © 2005 SAS IP, Inc. All rights reserved. Unauthorized use, distribution or duplication is prohibited. ANSYS, ANSYS Workbench, CFX, AUTODYN, and any and all ANSYS, Inc. product and service names are registered trademarks or trademarks of ANSYS, Inc. or its subsidiaries located in the United States or other countries. ICEM CFD is a trademark licensed by ANSYS, Inc. All other trademarks or registered trademarks are the property of their respective owners. Disclaimer Notice THIS ANSYS SOFTWARE PRODUCT AND PROGRAM DOCUMENTATION INCLUDE TRADE SECRETS AND ARE CONFIDENTIAL AND PROPRIETARY PRODUCTS OF ANSYS, INC., ITS SUBSIDIARIES, OR LICENSORS. The software products and documentation are furnished by ANSYS, Inc., its subsidiaries, or affiliates under a software license agreement that contains provisions concerning non-disclosure, copying, length and nature of use, compliance with exporting laws, warranties, disclaimers, limitations of liability, and remedies, and other provisions. The software products and documentation may be used, disclosed, transferred, or copied only in accordance with the terms and conditions of that software license agreement. ANSYS, Inc. and ANSYS Europe, Ltd. are UL registered ISO 9001:2000 Companies. U.S. GOVERNMENT RIGHTS For U.S. Government users, except as specifically granted by the ANSYS, Inc. software license agreement, the use, duplication, or disclosure by the United States Government is subject to restrictions stated in the ANSYS, Inc. software license agreement and FAR 12.212 (for non-DOD licenses). Third-Party Software See the online documentation in the product help files for the complete Legal Notice for ANSYS proprietary software and third-party software. The ANSYS third-party software information is also available via download from the Customer Portal on the ANSYS web page. If you are unable to access the third- party legal notices, please contact ANSYS, Inc. Published in the U.S.A. Table of Contents 1. Design Optimization ........................................................................................................................... 1±1 1.1. Getting Started with Design Optimization ..................................................................................... 1±1 1.1.1. Design Optimization Terminology ........................................................................................ 1±1 1.1.2. Information Flow for an Optimization Analysis ...................................................................... 1±3 1.2. Optimizing a Design ..................................................................................................................... 1±3 1.2.1. Create the Analysis File ......................................................................................................... 1±4 1.2.1.1. Build the Model Parametrically .................................................................................... 1±5 1.2.1.2. Obtain the Solution ..................................................................................................... 1±6 1.2.1.3. Retrieve Results Parametrically .................................................................................... 1±6 1.2.1.4. Preparing the Analysis File ........................................................................................... 1±7 1.2.2. Establish Parameters for Optimization .................................................................................. 1±7 1.2.3. Enter OPT and Specify the Analysis File ................................................................................. 1±8 1.2.4. Declare Optimization Variables ............................................................................................ 1±8 1.2.5. Choose Optimization Tool or Method .................................................................................. 1±9 1.2.6. Specify Optimization Looping Controls ............................................................................... 1±10 1.2.7. Initiate Optimization Analysis ............................................................................................. 1±11 1.2.8. Review Design Sets Data .................................................................................................... 1±12 1.2.8.1. Manipulating Designs Sets ......................................................................................... 1±13 1.3. Multiple Optimization Executions ................................................................................................ 1±13 1.3.1. Restarting an Optimization Analysis .................................................................................... 1±13 1.4. Optimization Mehods ................................................................................................................. 1±14 1.4.1. Subproblem Approximation Method .................................................................................. 1±15 1.4.1.1. Approximations ......................................................................................................... 1±15 1.4.1.2. Conversion to an Unconstrained Problem .................................................................. 1±15 1.4.1.3. Convergence Checking .............................................................................................. 1±16 1.4.1.4. Special Considerations for Subproblem Approximation .............................................. 1±16 1.4.2. First Order Method ............................................................................................................. 1±17 1.4.2.1. Convergence Checking .............................................................................................. 1±17 1.4.2.2. Special Considerations for the First Order Method ...................................................... 1±18 1.4.3. Random Design Generation ............................................................................................... 1±18 1.4.4. Using the Sweep Tool ......................................................................................................... 1±18 1.4.5. Using the Factorial Tool ...................................................................................................... 1±19 1.4.6. Using the Gradient Evaluation Tool ..................................................................................... 1±19 1.5. Guidelines for Choosing Optimization Variables .......................................................................... 1±20 1.5.1. Choosing Design Variables ................................................................................................. 1±20 1.5.2. Choosing State Variables .................................................................................................... 1±21 1.5.3. Choosing the Objective Function ........................................................................................ 1±22 1.6. Hints for Performing Design Optimization ................................................................................... 1±22 1.6.1. Generating the Analysis File ............................................................................................... 1±22 1.6.2. Fixing Design Variable Values After Execution ..................................................................... 1±23 1.6.3. Modifying the Optimization Variables After Execution ......................................................... 1±24 1.6.4. Local Versus Global Minimum ............................................................................................. 1±24 1.6.5. Minimum Weight Versus Minimum Volume ........................................................................ 1±24 1.6.6. Mesh Density ..................................................................................................................... 1±25 1.6.7. Using Substructures ........................................................................................................... 1±25 1.7. Sample Optimization Analysis ..................................................................................................... 1±25 1.7.1. Problem Description .......................................................................................................... 1±25 1.7.2. Problem Specifications ....................................................................................................... 1±25 1.7.3. Using a Batch File for the Analysis ....................................................................................... 1±25 1.7.4. Using the GUI for the Analysis ............................................................................................. 1±27 ANSYS Advanced Analysis Techniques Guide . ANSYS Release 10.0 . 002184 . © SAS IP, Inc. ANSYS Advanced Analysis Techniques Guide 1.7.5. Where to Find Other Examples ........................................................................................... 1±30 2. Topological Optimization ................................................................................................................... 2±1 2.1. Understanding Topological Optimization ...................................................................................... 2±1
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