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Mathematical Modeling of a Magnetorheological Damper (www.mdpi.com)

submitted 1 day ago by FedX@quokk.au to c/askscience@lemmy.world

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I am trying to mathematical model a passive Magnetorheological damper. Broadly speaking, this would work by having a magnet sit on the damper shaft near the damper body. As the shaft moves, it would induce an eddy current in the damper body, creating a magnetic field. Not only would this magnetic field oppose the magnet's motion, but it would increase the viscosity of the magnetorheological fluid inside the damper body. On paper, this would rapidly increase the damping forces with increasing shaft speeds, allowing for more controlled shaft speed.

Fortunately, I found a paper discussing a damper similar to my ideas. Unfortunately, I don't really understand the math, and I need the damping force equation in terms of velocity to validate the application I have in mind. Linked is the paper I am referring to.

For my purposes, I would also want to model separate traditional high and low speed compression and rebound circuits moving through traditional mechanical damping circuits, along with some other damping features. However, that's a problem for future FedX, right now I really just care about the broad differences in damping characteristics as a function of shaft velocity.

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[–] dr_yeti@lemmy.world 3 points 1 day ago (1 children)

It is pretty tough to follow the derivation, but the vee in the first term of eq 22 (friction force integral) is the plate velocity (see eq 5). Is that the 'in terms of velocity' you had in mind?

[–] FedX@quokk.au 2 points 1 day ago

Thanks, that does help some. Eq 22 is what I was reading, and yeah, it's a weird and confusing derivation. In reading Eq 22 closer, it's helpful, but not as helpful as I would have liked. What's funny in reading it is that it's also in correlation to q, which I would have expected to be calculated in terms of v. sigh maybe it would be better if I went through and derived the equations myself, would probably be more useful that way anyway.