Decreasing the effect of mechanical waves that arise after a crash (e.g. while skiing) on the human brain by finding the optimum structure through optimization algorithms
Crashes happen, either while skiing or riding a motorbike. Our customer wanted to build safer helmets than they already have. This is achievable through optimization of inner structure in the helmet. In this case, optimization means to embed a structure that does not allow mechanical waves to propagate and hit the human head. This kind of solution requires topology optimization. We developed a code that tests each topology, a method called exhaustive enumeration.
- Understand dispersion relation and analytics behind band gaps
- To do exhaustive enumeration to explore the design search space
- Use results from step 2 as a seed into a full-scale gradient-based optimization
The formula to calculate the band gap percentage which was needed to analyze the effects of mechanical waves
The unit cell that was used for topology optimization,
We found the best and worst topographies that decrease the effect of a crash or have no effect at all- no amplification of the wave amplitude. (worst).