The aim here is to optimise a mechanical structure subjected to random loading.
The objective is to reduce the volume of the structure under a constraint (in the sense of optimisation)
on the mechanical stresses (typically the work of the forces exerted or the Van Mises (mechanical) stresses.
This work was carried out during G. Gargantini's thesis with Safran Helicopter Engines.
Constraints on the moments of the mechanical criterion
Constraints on the worst-case mechanical criterion
The article presenting and studying the model
M. Dambrine, F. Caubet, G. Gargantini, J. Maynadier Shape optimization under a constraint on the worst case scenario
SIAM Journal on Scientific Computing, Vol. 46, Iss. 6, 2024.
HAL
We propose two methods in this work to answer this question.
Initial geometry: top viewfigcaption>
Initial geometry: bottom view
After optimization:
Multi-loading method
Sub-gradient method
Constraints on the level of risk of exceeding the mechanical criterion
