Involute - Revision history

DT Online: Added Template

2016-06-02T19:07:03Z

Added Template

← Older revision		Revision as of 19:07, 2 June 2016
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			__TOC__


			=====Description=====

	An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Loci\|Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral\|Archimedean Spiral]]''' but not exactly the same.		An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Loci\|Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral\|Archimedean Spiral]]''' but not exactly the same.

	The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[:Category:Gears\|gear train]]'''.		The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[:Category:Gears\|gear train]]'''.


			=====Constructions=====

	{\| cellpadding="5"		{\| cellpadding="5"
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	\| [[File:Involute.png\|350px\|right]]		\| [[File:Involute.png\|350px\|right]]
	\|}		\|}

			{{Drawing Instruments Buyers Guide}}


	[[Category:Secondary]]		[[Category:Secondary]]
	[[Category:Geometry]]		[[Category:Geometry]]

DT Online at 08:49, 21 February 2015

2015-02-21T08:49:05Z

← Older revision		Revision as of 08:49, 21 February 2015
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	* Sketch a fair curve through the points ''(or use [https://en.wikipedia.org/wiki/French_curve '''French Curves'''] or a [https://en.wikipedia.org/wiki/Flat_spline '''flexible strip'''] for example)''		* Sketch a fair curve through the points ''(or use [https://en.wikipedia.org/wiki/French_curve '''French Curves'''] or a [https://en.wikipedia.org/wiki/Flat_spline '''flexible strip'''] for example)''
	</span>		</span>
	\| [[File:~~InvoluteCurve~~.~~jpg~~\|350px\|right]]		\| [[File:Involute.png\|350px\|right]]
	\|}		\|}

DT Online at 09:30, 20 February 2015

2015-02-20T09:30:09Z

← Older revision		Revision as of 09:30, 20 February 2015
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	An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Loci\|Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral\|Archimedean Spiral]]''' but not exactly the same.		An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Loci\|Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral\|Archimedean Spiral]]''' but not exactly the same.

	The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[~~Gear Train~~\|gear train]]'''.		The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[:Category:Gears\|gear train]]'''.

	{\| cellpadding="5"		{\| cellpadding="5"

DT Online at 17:33, 19 February 2015

2015-02-19T17:33:32Z

← Older revision		Revision as of 17:33, 19 February 2015
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	An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral\|Archimedean Spiral]]''' but not exactly the same.		An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Loci\|Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral\|Archimedean Spiral]]''' but not exactly the same.

	The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[Gear Train\|gear train]]'''.		The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[Gear Train\|gear train]]'''.

DT Online: Created Involute

2015-02-19T15:09:03Z

Created Involute

New page

An [https://en.wikipedia.org/wiki/Involute '''Involute'''] is the path traced, or '''[[Locus]]''', of the end of a piece of string as it is kept tight and unwrapped from a circle. It produces a curve similar to an '''[[Spiral|Archimedean Spiral]]''' but not exactly the same.

The involute is an important curve for the [https://en.wikipedia.org/wiki/Involute_gear '''design of gears''']. Teeth shaped as an involute exhibit '''''‘true rolling motion’''''' ''(i.e. motion without slipping or scrubbing)'' as the gear teeth engage, which makes for a smooth transition of speed and force between one gear and the next in the '''[[Gear Train|gear train]]'''.

{| cellpadding="5"
|-
| '''Drawing an Involute'''
| <span style="color:#B00000">
* Draw a generating circle and divide it into a number of [https://en.wikipedia.org/wiki/Circular_sector '''sectors'''] ''(say 12 in this example)''.
* Regard the radial dividers as [https://en.wikipedia.org/wiki/Tangent#Normal_line_to_a_curve '''Normals'''] and, from each one, draw [https://en.wikipedia.org/wiki/Tangent '''Tangents'''] to the circle at right angles to them as shown.
----
<span style="color: green">'''Note:'''
These '''tangents''' to the circle will become '''normals''' to the eventual '''involute'''.
</span>
----
* Along each tangent in turn measure lengths equal to the arc lengths of the sectors uncovered as shown.
* Sketch a fair curve through the points ''(or use [https://en.wikipedia.org/wiki/French_curve '''French Curves'''] or a [https://en.wikipedia.org/wiki/Flat_spline '''flexible strip'''] for example)''
</span>
| [[File:InvoluteCurve.jpg|350px|right]]
|}

[[Category:Secondary]]
[[Category:Geometry]]