TOPOLOGY OPTIMIZATION THEORY, METHODS （拓扑优化理论、方法）.pdf

TOPOLOGY OPTIMIZATION THEORY, METHODS AND APPLICATIONS INTRODUCTION TO COMPUTER EXERCISES JAKOB SØNDERGAARD JENSEN (the backbone of the course) • Wednesday: Basic exercises with the code top.m (alternatively top88.m) – Problem 1-3: Basic exercises (getting to know the code) – Problem 9: Robust topology optimization – Problem 12: Three dimensions • Thursday Friday: Exercises with mathematical programming – Problem 4: The method of moving asymptotes (MMA) – Problem 5: Mechanism synthesis using MMA – Problem 6: Interior point methods (fmincon) – Problem 8: min-max optimization using MMA – Problem 10: SAND optimization formulation – Problem 11: Multiple outputs • Weekend: Catch up on missing obligatory exercises AND/OR do voluntary exercises of interest 2 DTU Mechanical Engineering, Technical University of Denmark Jakob Søndergaard Jensen COMPUTER EXERCISES •Monday: Optimization in dynamics – Problem 7: Optimization with harmonic loads – Problem 13: Alternative measures of dynamic compliance – Problem 14: Problem of your choice from Bendsøe Sigmund (2004) ⇒ Poster presentation of exercise work on tuesday 3 DTU Mechanical Engineering, Technical University of Denmark Jakob Søndergaard Jensen MATLAB CODES Exercises based on the 99-line code written by Ole Sigmund: CODE CAN BE DOWNLOADED FROM WWW.TOPOPT.DTU.DK 4 DTU Mechanical Engineering, Technical University of Denmark Jakob Søndergaard Jensen EXERCISES Usage: 5 DTU Mechanical Engineering, Technical University of Denmark Jakob Søndergaard Jensen EXERCISES 6 DTU Mechanical Engineering, Technical University of Denm