Same relative deflections across scales - Revision history

Apm at 10:07, 22 June 2026

2026-06-22T10:07:39Z

← Older revision		Revision as of 12:07, 22 June 2026
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	[[File:556px-Steel-Dowel-Pins.jpg\|400px\|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. – See also: [[A better intuition for diamondoid nanomachinery than jelly]].]]		[[File:556px-Steel-Dowel-Pins.jpg\|400px\|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. – See also: [[A better intuition for diamondoid nanomachinery than jelly]].]]
			[[File:DiamondoidsAreNotJellyLikeFloppy.jpeg\|400px\|thumb\|right\|Molecular dynamics simulations are typically run simulating extremely high speeds thus showing jelly like wobbling which would not at all occur when operated at actually proposed (steady state) speeds many orders of magnitude slower.]]

	'''Deflections induced by accelerations from mechanical motions are scale invariant''' <br>		'''Deflections induced by accelerations from mechanical motions are scale invariant''' <br>

Apm: increases image size and added link to A better intuition for diamondoid nanomachinery than jelly in description

2026-06-22T10:06:52Z

increases image size and added link to A better intuition for diamondoid nanomachinery than jelly in description

← Older revision		Revision as of 12:06, 22 June 2026
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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.]]		[[File:556px-Steel-Dowel-Pins.jpg\|400px\|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. – See also: [[A better intuition for diamondoid nanomachinery than jelly]].]]

	'''Deflections induced by accelerations from mechanical motions are scale invariant''' <br>		'''Deflections induced by accelerations from mechanical motions are scale invariant''' <br>

Apm: Category:Surprising facts

2026-03-29T19:56:08Z

Category:Surprising facts

← 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>