TOPOPT FOR ALM (intro only)

Jun Wu's channel on Youtube

https://www.youtube.com/watch?v=5ocnVS_HvdY

LECTURES

But how do you compute sensitivity of the compliance?

Some OptiStruct tutorials https://altairuniversity.com/13907-topology-optimization-tutorial-3-point-bending-of-a-beam-1d-2d-and-3d/#

Hypermesh/hyperview tutorials

COMPUTER LAB using SIMP

The exercice using top88

The highlights for FA & TOPOPT

Our TOPOPT+ALM Research

You can find in top88 repository all the files, paper, and ...

The 3 point bending projected corrected using top88

for people wondering about how linear elasticity of top88.m is working

Prof, can you help to us understand how to compute the stiffness matrix of 2D membrane? Explictely ? Membrane2D_K

Have a look in the top3D repository to do the same but in 3D !!!

MORE ADVANCED STUFF

Last but not the least a MATLAB tutorial Advanced Topology Optimization.

Part A: Constraints Agreggation Thanks to my PhD Simone.

Part B: Stress Based TopOpt Thanks AGAIN to my PhD Simone. Before you can use Method of Moving Asymptotes (MMA) as an optimizer in our stress based topology optimization program, you need to obtain the Matlab implementation of MMA from Prof. Krister Svanberg (krille@math.kth.se) from KTH in Stockholm Sweden.

RECAP

From Finite Element Analysis to Topology Optimization

This note introduces the basic concept of finite element analysis (FEA) and topology optimization (Topopt), and hopefully convince you that these are important topics to learn about for future engineers

We showed that the deflection or deformation of a structure U can be solved through a algebraic equation

KU=F.

It can be further shown that the strain energy due to the deformation is 0.5U^TKU. Minimizing this energy is equivalent to minimizing the compliance of the structure under the given loads and boundary conditions, leading to optimal topologies.

We explain some technical details below. A good tutorial can be found from Dr. Sigmund's group (see e.g., this code and this paper).

For those interested, A good introduction can be find here

Application of Topology Optimization

While the theories behind topology optimization were developed during the 1980s, the value of this technique only started to show after manufacturing and in particular 3D printing technologies become more matured in the last two decades. Today topology optimization has many industry applications, from light-weight vehicle bodies, to artificial bones and implants, to biomemetic airplane wings, to various sensors and actuators.