Optimal sublayernumber for minimal friction - Revision history

Apm: Category:Surprising facts

2026-03-29T20:23:53Z

2023-03-12T07:27:09Z

← Older revision		Revision as of 09:27, 12 March 2023
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	Tuning layer number n assembly speed v_A such that throughput stays constant <br>		Tuning layer number n assembly speed v_A such that throughput stays constant <br>
	is identical to changing the [[compenslow]] design parameter.		is identical to changing the [[compenslow]] design parameter.
			----
			* [[Batch transport for reduction of friction losses]]

	== External links ==		== External links ==

2022-09-18T12:56:25Z

added == Very important note ==

← Older revision		Revision as of 14:56, 18 September 2022
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	As we know is the case from today macroscale bearings. <br>		As we know is the case from today macroscale bearings. <br>
	See: [[Atomically precise roller gearbearing]]		See: [[Atomically precise roller gearbearing]]

			== Very important note ==

			It may be possible to significantly reduce bearing area in transport channels relative to bearing area in assembly chambers. <br>
			As attachment chains can run through free and empty space if no forces are applied. <br>
			Only the very ends need of the attachment chains need to be supported by sprockets.

			This means the optimal layer-number where friction per throughput gets minimal may go up by a significant margin. <br>
			That is by several decimal orders of magnitude!!

	== Related ==		== Related ==

2022-09-05T07:33:37Z

fixed link

← Older revision		Revision as of 09:33, 5 September 2022
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	* [[Sub-layer]]		* [[Sub-layer]]
	* [[Nanofactory math based on ~~continutiy~~ of throughput]] … within assembly levels and across [[assembly level]]s		* [[Nanofactory math based on continuity of throughput]] … within assembly levels and across [[assembly level]]s
	----		----
	* [[Higher throughput of smaller machinery]]		* [[Higher throughput of smaller machinery]]

2022-09-03T07:01:11Z

Explanation of goals here

← Older revision		Revision as of 09:01, 3 September 2022
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	See: [[Higher throughput of smaller machinery]] & [[Math of convergent assembly]]		See: [[Higher throughput of smaller machinery]] & [[Math of convergent assembly]]

	'''BUT''' the transport speed does NOT fall when adding more layers. ~~It must stay~~ constant. <br>		'''BUT''' the transport speed does NOT fall when adding more layers. <br>
			Transport speed stays constant when adding more layers.<br>
	Transport-friction grows linearly with layer numbers but more importantly <br>		Transport-friction grows linearly with layer numbers but more importantly <br>
	'''Transport friction can only be ignored so long as assembly motions are much faster than transport motions.''' <br>		'''Transport friction can only be ignored so long as assembly motions are much faster than transport motions.''' <br>

2022-09-03T07:00:01Z

What about molecular assembly lines?

← Older revision		Revision as of 09:00, 3 September 2022
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	Changes a bit with operations that apply more parts (like carbon dimers).		Changes a bit with operations that apply more parts (like carbon dimers).

	Mill style assembly is especially advantageous for the lowest assembly levels like		Side-note: Mill style assembly is especially advantageous for the lowest assembly levels like
	* [[Assembly level 1]], [[molecular mills]] and before in		* [[Assembly level 1]], [[molecular mills]] and before in
	* [[Preprocessing step 2]], [[tooltip preparation zone]] and maybe even before in		* [[Preprocessing step 2]], [[tooltip preparation zone]] and maybe even before in

2022-09-03T06:58:40Z

Concerns about input side transport bearing area (and friction): removed 'even'

← Older revision		Revision as of 08:58, 3 September 2022
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	Such a design calls for considerable additional design effort though. <br>		Such a design calls for considerable additional design effort though. <br>
	Early developers may not ~~even~~ be aware of the results derived here. <br>		Early developers may not be aware of the results derived here. <br>
	And only figure out this bottleneck in retrospect.		And only figure out this bottleneck in retrospect.

2022-09-03T06:52:56Z

Explanation of goals here: domoved obsolete todo

← Older revision		Revision as of 08:52, 3 September 2022
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	Transport-friction grows linearly with layer numbers but more importantly <br>		Transport-friction grows linearly with layer numbers but more importantly <br>
	'''Transport friction can only be ignored so long as assembly motions are much faster than transport motions.''' <br>		'''Transport friction can only be ignored so long as assembly motions are much faster than transport motions.''' <br>

	~~{{todo\|Eventually make a plot identifying that friction minimum graphically.}}~~

	== Math ==		== Math ==

2022-09-03T06:50:03Z

Explanation of goals here

← Older revision		Revision as of 08:50, 3 September 2022
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	'''From a different perspective:''' <br>		'''From a different perspective:''' <br>
	With (linearly) rising number of [[sub-layer]]s:		With (linearly) rising number of [[sub-layer]]s:
	* friction from assembly motions falls (linearly).		* friction from assembly motions falls (linearly ~ 1/n).
	* friction from transport motions rises (linearly).		* friction from transport motions rises (linearly ~ n).
	Thus friction from transport motions poses a limit to exploiting:		Thus friction from transport motions poses a limit to exploiting:
	* [[Increasing bearing area to decrease friction\|lower friction despite higher bearing area]]		* [[Increasing bearing area to decrease friction\|lower friction despite higher bearing area]]

2022-09-03T06:47:28Z

Explanation of goals here: major reformulation

← Older revision		Revision as of 08:47, 3 September 2022
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	* the equal-friction layernumber n_eq		* the equal-friction layernumber n_eq

	From a different perspective: <br>		'''From a different perspective:''' <br>
	~~Rising contribution~~ (~~or rather remnant contribution~~) of friction from transport motions ~~<br>~~		With (linearly) rising number of [[sub-layer]]s:
	poses a limit to exploiting [[Increasing bearing area to decrease friction\|lower friction despite higher bearing area]] / [[deliberate slowdown at the lowest assembly level‎]].		* friction from assembly motions falls (linearly).
			* friction from transport motions rises (linearly).
			Thus friction from transport motions poses a limit to exploiting:
			* [[Increasing bearing area to decrease friction\|lower friction despite higher bearing area]]
			* [[deliberate slowdown at the lowest assembly level‎]].

	{{wikitodo\|Come up with some example numbers for a quantitative plot eventually.}}		{{wikitodo\|Come up with some example numbers for a quantitative plot eventually.}}