TOP Webinar Tutorials: Density methods 1 - Introduction and basics

The first of three tutorial lectures by Professor Ole Sigmund on density-based methods. The first lecture covers an overall introduction and the basics. 00:00 Welcome to webinar 01:40 Introduction of Prof. Ole Sigmund 03:27 Beginning of lecture 05:32 Historical background 10:13 Different methods 11:25 Overview of tutorial lectures 11:55 Basics of density method 16:00 Integer design variables 17:00 On non-gradient approaches 18:38 Giga-scale examples 19:00 On the use of AI 24:00 Continuous design variables 24:52 Variable thickness sheet 25:51 Penalisation and SIMP interpolation 30:41 RAMP interpolation 31:31 Optimisation problem 32:11 Sensitivity analysis 39:33 Checkerboard issue 41:55 Mesh dependency issue 43:02 Mesh independency and regularisation 44:28 Topology optimisation algorithm 45:01 Educational MATLAB codes and apps 46:51 On benchmarking and good practise 47:41 On gradient-free/proportional approaches 49:18 Stress optimisation 50:20 Next steps and recommendations 52:32 Examples of advanced problems 52:43 Potential issues and suggested solutions 55:02 Conclusions 56:03 Question sessions 56:25 B-rep and spline representations? 57:37 Applications outside solid mechanics? 59:05 Starting on a coarse mesh? 1:00:59 Python alternatives to codes? 1:02:03 Approaches for multiobjective problems? 1:02:36 Differences between SIMP and RAMP? 1:04:41 Regularisation? 1:06:54 Common mistakes for beginners? 1:09:02 Hybrid density-levelset? 1:10:38 Time-dependent problems? 1:13:20 Tunning of hyperparameters? 1:15:20 Dependence on initial design? 1:17:22 Thank you and rounding off 1:17:55 Sign up information for future webinars