Sub-layer: Difference between revisions

From apm
Jump to navigation Jump to search
basic page
 
mNo edit summary
Line 14: Line 14:
<math> n_{opt} = \sqrt{A_A/A_T} B^3 C </math> <br>
<math> n_{opt} = \sqrt{A_A/A_T} B^3 C </math> <br>
For details see: [[Limits to lower friction despite higher bearing area]]
For details see: [[Limits to lower friction despite higher bearing area]]
 
{{todo|Can this be generalized to sub-level, that is abstracted away from layer geometry?}}
 
== Related ==
== Related ==



Revision as of 18:15, 28 August 2022

As a first result ...

just gives one single sub-layer per assembly level
See: Math of convergent assembly

But one sub-layer per assembly level strongly deviates form proposed designs because
there is motivation to deviate from that for several reasons.
See: Deliberate slowdown at the lowest assembly level

One main reason is optimization for minimal friction.
As it turns out the global minimum for friction is somewhere around n~B³ sub-layers
A bit more accurately With factors more or less near one:
<math> n_{opt} = \sqrt{A_A/A_T} B^3 C </math>
For details see: Limits to lower friction despite higher bearing area

(TODO: Can this be generalized to sub-level, that is abstracted away from layer geometry?)

Related