Same relative deflections across scales - Revision history

Apm: Category:Surprising facts

2026-03-29T19:56:08Z

← Older revision		Revision as of 21:56, 29 March 2026
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	[[Category:Pages with math]]		[[Category:Pages with math]]
	[[Category:Scaling law]]		[[Category:Scaling law]]
			[[Category:Surprising facts]]

Apm: /* Related */ added link to page Gem-gum

2024-12-04T13:24:20Z

Related: added link to page Gem-gum

← Older revision		Revision as of 15:24, 4 December 2024
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	* '''[[How macroscale style machinery at the nanoscale outperforms its native scale]]'''		* '''[[How macroscale style machinery at the nanoscale outperforms its native scale]]'''
	* '''[[Misleading aspects in animations of diamondoid molecular machine elements]]''' and <br>[[A better intuition for diamondoid nanomachinery than jelly]]		* '''[[Misleading aspects in animations of diamondoid molecular machine elements]]''' and <br>[[A better intuition for diamondoid nanomachinery than jelly]] <br>[[Gem-gum]]
	* '''[[Applicability of macro 3D printing for nanomachine prototyping]]'''		* '''[[Applicability of macro 3D printing for nanomachine prototyping]]'''
	* '''[[Lower stiffness of smaller machinery]]''', [[Stiffness]], [[The feel of atoms]]		* '''[[Lower stiffness of smaller machinery]]''', [[Stiffness]], [[The feel of atoms]]

Apm: /* Related */

2024-10-18T19:40:29Z

← Older revision		Revision as of 21:40, 18 October 2024
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	* '''[[How macroscale style machinery at the nanoscale outperforms its native scale]]'''		* '''[[How macroscale style machinery at the nanoscale outperforms its native scale]]'''
	* '''[[Misleading aspects in animations of diamondoid molecular machine elements]]'''		* '''[[Misleading aspects in animations of diamondoid molecular machine elements]]''' and <br>[[A better intuition for diamondoid nanomachinery than jelly]]
	* '''[[Applicability of macro 3D printing for nanomachine prototyping]]'''		* '''[[Applicability of macro 3D printing for nanomachine prototyping]]'''
	* '''[[Lower stiffness of smaller machinery]]''', [[Stiffness]], [[The feel of atoms]]		* '''[[Lower stiffness of smaller machinery]]''', [[Stiffness]], [[The feel of atoms]]

Apm: /* Related */ added link to Misleading aspects in animations of diamondoid molecular machine elements

2024-10-01T22:39:56Z

← Older revision		Revision as of 00:39, 2 October 2024
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	* '''[[How macroscale style machinery at the nanoscale outperforms its native scale]]'''		* '''[[How macroscale style machinery at the nanoscale outperforms its native scale]]'''
			* '''[[Misleading aspects in animations of diamondoid molecular machine elements]]'''
	* '''[[Applicability of macro 3D printing for nanomachine prototyping]]'''		* '''[[Applicability of macro 3D printing for nanomachine prototyping]]'''
	* '''[[Lower stiffness of smaller machinery]]''', [[Stiffness]], [[The feel of atoms]]		* '''[[Lower stiffness of smaller machinery]]''', [[Stiffness]], [[The feel of atoms]]

Apm: added illustrative image

2024-09-15T10:07:02Z

added illustrative image

← Older revision		Revision as of 12:07, 15 September 2024
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			[[File:556px-Steel-Dowel-Pins.jpg\|200px\|thumb\|right\|At the for [[advanced productive nanosystem]]s proposed nanomachinery speeds of a few mm/s nanoscale diamondoid ([[crystolecule]]) parts bend/flex much less from machine accelerations than even these macroscale pins do bend/flex in typical operation of typical macroscale machinery. This is all about relative deflections. That is: Bending length to total length ratios and bending angles.]]

	'''Deflections induced by accelerations from mechanical motions are scale invariant''' <br>		'''Deflections induced by accelerations from mechanical motions are scale invariant''' <br>
	'''This is one important reason for why [[macroscale style machinery at the nanoscale]] works better rather than worse at the nanoscale.''' <br>		'''This is one important reason for why [[macroscale style machinery at the nanoscale]] works better rather than worse at the nanoscale.''' <br>

Apm: /* Related / '''Same absolute speeds for smaller machinery'''

2024-02-29T14:54:38Z

← Older revision		Revision as of 16:54, 29 February 2024
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	* Another very important as of 2022 barely known scaling law: <br>'''[[Higher throughput of smaller machinery]]'''		* Another very important as of 2022 barely known scaling law: <br>'''[[Higher throughput of smaller machinery]]'''
	* [[Stiffness]]		* [[Stiffness]]
			----
			* '''[[Same absolute speeds for smaller machinery]]'''

	[[Category:Pages with math]]		[[Category:Pages with math]]
	[[Category:Scaling law]]		[[Category:Scaling law]]

Apm: /* Related */ added Stiffness

2022-10-13T11:10:42Z

Related: added Stiffness

← Older revision		Revision as of 13:10, 13 October 2022
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	----		----
	* Another very important as of 2022 barely known scaling law: <br>'''[[Higher throughput of smaller machinery]]'''		* Another very important as of 2022 barely known scaling law: <br>'''[[Higher throughput of smaller machinery]]'''
			* [[Stiffness]]

	[[Category:Pages with math]]		[[Category:Pages with math]]
	[[Category:Scaling law]]		[[Category:Scaling law]]

Apm: /* Scaling of deformations from machine motions (spoiler: they are scale invariant) */ zentrifugal => centrifugal -- thanks Luke Parrish @lsparrish (twitter)

2022-10-05T21:55:37Z

Scaling of deformations from machine motions (spoiler: they are scale invariant): zentrifugal => centrifugal -- thanks Luke Parrish @lsparrish (twitter)

← Older revision		Revision as of 23:55, 5 October 2022
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	Stress is given by applied force F. <br>		Stress is given by applied force F. <br>
	<math>\sigma = F / A </math> <br>		<math>\sigma = F / A </math> <br>
	A natural level of force for a scale is ~~zentrifugal~~ force from rotating a mass at that scale. <br>		A natural level of force for a scale is centrifugal force from rotating a mass at that scale. <br>
	<math> F = m \omega^2 r = m (2\pi f)^2 r</math> <br>		<math> F = m \omega^2 r = m (2\pi f)^2 r</math> <br>
	Putting it all together we get: <br>		Putting it all together we get: <br>

Apm: /* Related */ bold

2022-10-05T14:44:16Z

Related: bold

← Older revision		Revision as of 16:44, 5 October 2022
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	* [[Optimal sublayernumber for minimal friction]]		* [[Optimal sublayernumber for minimal friction]]
	----		----
	* Another very important as of 2022 barely known scaling law: <br>[[Higher throughput of smaller machinery]]		* Another very important as of 2022 barely known scaling law: <br>'''[[Higher throughput of smaller machinery]]'''


	[[Category:Pages with math]]		[[Category:Pages with math]]
	[[Category:Scaling law]]		[[Category:Scaling law]]

Apm: /* Related */ added Higher throughput of smaller machinery

2022-10-05T14:42:17Z

← Older revision		Revision as of 16:42, 5 October 2022
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	* [[Increasing bearing area to decrease friction]]		* [[Increasing bearing area to decrease friction]]
	* [[Optimal sublayernumber for minimal friction]]		* [[Optimal sublayernumber for minimal friction]]
			----
			* Another very important as of 2022 barely known scaling law: <br>[[Higher throughput of smaller machinery]]


	[[Category:Pages with math]]		[[Category:Pages with math]]
	[[Category:Scaling law]]		[[Category:Scaling law]]