I have a treadmill desk and my downstairs neighbour is complaining about the noise. Specifically the noise made by the impacts of my walking. Unfortunately the floor of my flat is not concrete but made of wooden beams topped with a laminate floor: not a lot of mass to absorb the impacts and not much dampening either. So, I have to do that myself. Ideally I'd have a big slab of marble and a length of open/closed cell foam of just the right density and dimension and would sandwich that underneath the treadmill. I don't have and couldn't carry a big slab of marble, so as a stand-in I'm going with a large wooden board as thick as they come (or can be glued together). Say a kitchen countertop. What I can't figure out is: How dense does the foam need to be?
Given
- a treadmill with a weight $m_t = 26\mathrm{kg}$ that occupies an area $a = 8555\mathrm{cm^2}$ ($59\mathrm{cm} \times 145\mathrm{cm}$)
- a human with a weight $m_h = 70\mathrm{kg}$ walking at a steady speed $v = 3 \mathrm{km/h}$ with decent shoes for runners
- a wooden board with the dimensions of the treadmill used to evenly distribute the impacts across the foam
- open or closed cell foam occupying the same area as the board / treadmill
Arrangement
- Human
- Treadmill
- Board
- Foam
- Floor
Unknowns
I don't know the force of my impacts caused by the walking nor how much the shoes mitigate.