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	<title>BrickEngineer: LEGO Design&#187; Physics</title>
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		<title>A Catalog of Omni-directional or Holonomic Wheels for LEGO Robots</title>
		<link>http://www.brickengineer.com/pages/2011/08/23/a-catalog-of-omni-directional-or-holonomic-wheels-for-lego-robots/</link>
		<comments>http://www.brickengineer.com/pages/2011/08/23/a-catalog-of-omni-directional-or-holonomic-wheels-for-lego-robots/#comments</comments>
		<pubDate>Tue, 23 Aug 2011 09:47:32 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Design]]></category>
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		<category><![CDATA[omni-directional wheels holonomic killough platform]]></category>

		<guid isPermaLink="false">http://www.brickengineer.com/pages/?p=184</guid>
		<description><![CDATA[I have been researching the possibilities for omni-directional or holonomic wheels for LEGO robots. An omni-directional or holonomic wheel is one that can roll not just backwards and forwards, but sideways as well. While these are often used on robots with three wheels where all three rotate at different rates allowing the robot to go [...]]]></description>
			<content:encoded><![CDATA[<p>I have been researching the possibilities for omni-directional or holonomic wheels for LEGO robots.  An omni-directional or holonomic wheel is one that can roll not just backwards and forwards, but sideways as well.</p>
<div id="attachment_189" class="wp-caption aligncenter" style="width: 260px"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/new-rotocaster.jpg" alt="New Rotocaster Omni-Directional Wheel" title="New Rotocaster Omni-Directional Wheel" width="250" height="251" class="size-full wp-image-189" /><p class="wp-caption-text">New Rotocaster Omni-Directional Wheel</p></div>
<p>While these are often used on robots with three wheels where all three rotate at different rates allowing the robot to go in any direction,<br />
<div id="attachment_186" class="wp-caption aligncenter" style="width: 460px"><a href="http://botbench.com/blog/2009/11/10/my-omnipotent-omniwheel/"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/xander-omniwheel-prototype.jpg" alt="Three-Wheeled Omni-Wheel Prototype by Xander Soldaat at Bot Bench" title="Three-Wheeled Omni-Wheel Prototype by Xander Soldaat at Bot Bench" width="450" height="359" class="size-full wp-image-186" /></a><p class="wp-caption-text">Three-Wheeled Omni-Wheel Prototype by Xander Soldaat at Bot Bench (click on image to see more)</p></div><br />
I am interested in using these on a rover that can employ differential steering smoothly without skidding.</p>
<p>There are several different options that one can consider.  LEGO purists may consider making their own omni-directional wheel designs out of only official LEGO parts.  Another option is to purchase manufactured omni-directional wheels.  These come in two classes: those that are designed to be LEGO compatible, and those that are not LEGO compatible.  In the latter case, one would have to construct some kind of coupling mechanism to enable the wheel to connect to LEGO parts.</p>
<p>Here are some of the options that I have found.</p>
<p><strong>Omni-Directional Wheels Constructed from LEGO Parts</strong></p>
<p><a href="http://botbench.com/blog/2009/11/10/my-omnipotent-omniwheel/" title="Omni-Directional LEGO Wheels">Omni-Directional LEGO Wheels by Xander</a> at <a href="http://botbench.com/blog/" title="Bot Bench">Bot Bench</a><br />
These wheels use the LEGO pulley to get a six-fold symmetry.  Each &#8220;wheel&#8221; uses 12 LEGO wheels.  For archiving purposes, here are three pictures.  Please <a href="http://botbench.com/blog/2009/11/10/my-omnipotent-omniwheel/" title="Omni-Directional LEGO Wheels">visit Xander at Bot Bench for larger images and more details</a>.</p>
<div id="attachment_194" class="wp-caption aligncenter" style="width: 460px"><a href="http://botbench.com/blog/2009/11/10/my-omnipotent-omniwheel/"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/xander-lego-omni-directional-wheel-1.jpg" alt="Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench" title="Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench" width="450" height="356" class="size-full wp-image-194" /></a><p class="wp-caption-text">Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench</p></div>
<div id="attachment_195" class="wp-caption aligncenter" style="width: 460px"><a href="http://botbench.com/blog/2009/11/10/my-omnipotent-omniwheel/"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/xander-lego-omni-directional-wheel-2.jpg" alt="Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench" title="Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench" width="450" height="296" class="size-full wp-image-195" /></a><p class="wp-caption-text">Details of Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench</p></div>
<div id="attachment_196" class="wp-caption aligncenter" style="width: 460px"><a href="http://botbench.com/blog/2009/11/10/my-omnipotent-omniwheel/"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/xander-lego-omni-directional-wheel-3.jpg" alt="Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench" title="Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench" width="450" height="300" class="size-full wp-image-196" /></a><p class="wp-caption-text">Details of Omni-Directional LEGO Wheels by Xander Soldaat at Bot Bench</p></div>
<p>This <a href="http://technabob.com/blog/2010/10/19/lego-metal-slug-tank/">amazing tank by Peer Kreuger</a> also sports omni-directional wheels made from LEGO parts<br />
<div id="attachment_217" class="wp-caption aligncenter" style="width: 460px"><a href="http://technabob.com/blog/2010/10/19/lego-metal-slug-tank/"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/LEGO-tank.jpg" alt="LEGO Tank with LEGO Omni-Directional Wheels" title="LEGO Tank with LEGO Omni-Directional Wheels" width="450" height="338" class="size-full wp-image-217" /></a><p class="wp-caption-text">LEGO Tank with LEGO Omni-Directional Wheels</p></div></p>
<p>The <a href="http://us.mindstorms.lego.com/en-us/Community/NXTLog/DisplayProject.aspx?id=270b90f6-0ea4-4aeb-9e44-05830d7eb885">Omni Bot v2 by jason701802</a> also sports omni-directional wheels<br />
<div id="attachment_218" class="wp-caption aligncenter" style="width: 460px"><a href="http://us.mindstorms.lego.com/en-us/Community/NXTLog/DisplayProject.aspx?id=270b90f6-0ea4-4aeb-9e44-05830d7eb885"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/omni-bot-v2.jpg" alt="Omni Bot v2 by jason701802" title="Omni Bot v2 by jason701802" width="450" height="359" class="size-full wp-image-218" /></a><p class="wp-caption-text">Omni Bot v2 by jason701802</p></div></p>
<p><strong>LEGO-compatible Manufactured Omni-Directional Wheels</strong></p>
<p>This LEGO-compatible wheel is made by the <a href="http://www.holonomicwheel.com/index.jsp">School of Robotics</a><br />
<div id="attachment_212" class="wp-caption aligncenter" style="width: 430px"><a href="http://www.holonomicwheel.com/index.jsp"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/School-of-Robotics.jpg" alt="School of Robotics Omni-Directional Wheels" title="School of Robotics Omni-Directional Wheels" width="420" height="393" class="size-full wp-image-212" /></a><p class="wp-caption-text">School of Robotics Omni-Directional Wheels</p></div></p>
<p><a href="http://www.rotacaster.com.au/robot-wheels.html">Rotacaster</a> makes a LEGO-compatible omni-directional wheel:<br />
<div id="attachment_216" class="wp-caption aligncenter" style="width: 460px"><a href="http://www.rotacaster.com.au/robot-wheels.html"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/rotacaster.jpg" alt="Rotacaster Robot Wheel (LEGO-compatible)" title="Rotacaster Robot Wheel (LEGO-compatible)" width="450" height="473" class="size-full wp-image-216" /></a><p class="wp-caption-text">Rotacaster Robot Wheel (LEGO-compatible)</p></div></p>
<p>Rotacaster is also coming out with a new design<br />
<div id="attachment_189" class="wp-caption aligncenter" style="width: 260px"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/new-rotocaster.jpg" alt="New Rotocaster Omni-Directional Wheel" title="New Rotocaster Omni-Directional Wheel" width="250" height="251" class="size-full wp-image-189" /><p class="wp-caption-text">New Rotocaster Omni-Directional Wheel</p></div></p>
<p>Rotacaster also produces several <a href="http://www.rotacaster.com.au/omnidirectional-wheels---mounts.html">non-LEGO compatible designs</a>.</p>
<p><a href="http://www.legoeducation.us/eng/product/tetrix_omni_wheels/2237">Tetrix also makes LEGO-compatible Omni-Directional Wheels</a><br />
<div id="attachment_219" class="wp-caption aligncenter" style="width: 358px"><a href="http://www.legoeducation.us/eng/product/tetrix_omni_wheels/2237"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/tetrix-omni-directional.jpg" alt="Tetrix Omni-Directional Wheels" title="Tetrix Omni-Directional Wheels" width="348" height="348" class="size-full wp-image-219" /></a><p class="wp-caption-text">Tetrix Omni-Directional Wheels</p></div></p>
<p><strong>General Manufactured Omni-Directional Wheels</strong></p>
<p><a href="http://en.wikipedia.org/wiki/Mecanum_wheel">Mecanum Omni-Wheel</a> Designed by Bengt Ilon in 1973 at the Mecanum AB Company<br />
<div id="attachment_221" class="wp-caption aligncenter" style="width: 303px"><a href="http://en.wikipedia.org/wiki/Mecanum_wheel"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/mecanum-wheel-01.png" alt="Mecanum Wheel" title="Mecanum Wheel" width="293" height="300" class="size-full wp-image-221" /></a><p class="wp-caption-text">Mecanum Wheel</p></div></p>
<div id="attachment_222" class="wp-caption aligncenter" style="width: 576px"><a href="http://www.sparkfun.com/products/10543"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/mecanum-wheel-02.jpg" alt="Mecanum Omni-Directional Wheel" title="Mecanum Omni-Directional Wheel" width="566" height="566" class="size-full wp-image-222" /></a><p class="wp-caption-text">Mecanum Omni-Directional Wheel</p></div>
<p><a href="http://www.vexrobotics.com/276-2165.html">Vex Omni-Directional Wheel</a><br />
<div id="attachment_215" class="wp-caption aligncenter" style="width: 460px"><a href="http://www.vexrobotics.com/276-2165.html"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/vex-omni-directional.jpg" alt="Vex Omni-Directional Wheel" title="Vex Omni-Directional Wheel" width="450" height="450" class="size-full wp-image-215" /></a><p class="wp-caption-text">Vex Omni-Directional Wheel</p></div></p>
<p><a href="http://www.alibaba.com/product-gs/248317134/Omni_Wheel_Directional_Wheel_hexagon_hole_.html">Damon WH-01 Omni Directional Wheel (hexagon hole)</a><br />
(Outer Diameter:60mm, Inner Diameter:11mm, Material: Nylon)<br />
<div id="attachment_202" class="wp-caption aligncenter" style="width: 460px"><a href="http://www.alibaba.com/product-gs/248317134/Omni_Wheel_Directional_Wheel_hexagon_hole_.html"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/Damon-WH-011.jpg" alt="Damon WH-01 Omni-Directional Wheel" title="Damon WH-01 Omni-Directional Wheel" width="450" height="338" class="size-full wp-image-202" /></a><p class="wp-caption-text">Damon WH-01 Omni-Directional Wheel</p></div></p>
<p><a href="http://www.alibaba.com/productshowimg/kornylak-215643715-0/Omni_Directional_Wheel.html">Kornylak Omni-Directional Wheel</a><br />
<div id="attachment_205" class="wp-caption aligncenter" style="width: 260px"><a href="http://www.alibaba.com/productshowimg/kornylak-215643715-0/Omni_Directional_Wheel.html"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/kornylak-omni-directional.jpg" alt="Kornylak Omni-Directional Wheel" title="Kornylak Omni-Directional Wheel" width="250" height="238" class="size-full wp-image-205" /></a><p class="wp-caption-text">Kornylak Omni-Directional Wheel</p></div></p>
<p><a href="http://www.alibaba.com/productshowimg/kornylak-215644015-0/Transwheels.html">Kornylak Transwheel</a><br />
<div id="attachment_206" class="wp-caption aligncenter" style="width: 260px"><a href="http://www.alibaba.com/productshowimg/kornylak-215644015-0/Transwheels.html"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/kornylak-transwheel.jpg" alt="Kornylak Transwheel" title="Kornylak Transwheel" width="250" height="234" class="size-full wp-image-206" /></a><p class="wp-caption-text">Kornylak Transwheel</p></div></p>
<p><a href="http://www.alibaba.com/productshowimg/kornylak-215642651-0/Omniwheel.html">Kornylak Omni-Directional Wheel</a><br />
<div id="attachment_207" class="wp-caption aligncenter" style="width: 260px"><a href="http://www.alibaba.com/productshowimg/kornylak-215642651-0/Omniwheel.html"><img src="http://www.brickengineer.com/pages/wp-content/uploads/2011/08/kornylak-omni-directional-wheel.jpg" alt="Kornylak Omni-Directional Wheel" title="Kornylak Omni-Directional Wheel" width="250" height="231" class="size-full wp-image-207" /></a><p class="wp-caption-text">Kornylak Omni-Directional Wheel</p></div></p>
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		<title>Center of Mass of LEGO NXT Motors</title>
		<link>http://www.brickengineer.com/pages/2008/03/16/center-of-mass-of-lego-nxt-motors/</link>
		<comments>http://www.brickengineer.com/pages/2008/03/16/center-of-mass-of-lego-nxt-motors/#comments</comments>
		<pubDate>Sun, 16 Mar 2008 04:33:29 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[LEGO Engineering]]></category>
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		<category><![CDATA["center of mass"]]></category>
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		<guid isPermaLink="false">http://www.brickengineer.com/pages/2008/03/16/center-of-mass-of-lego-nxt-motors/</guid>
		<description><![CDATA[I am working on designing a walking machine, but I needed to know the Center of Mass of the LEGO NXT Motors.  When using Newton&#8217;s Laws to compute the forces on the system, we can treat the motor as if all of its mass is located at a single point.  The Center of Mass is [...]]]></description>
			<content:encoded><![CDATA[<p>I am working on designing a walking machine, but I needed to know the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> of the LEGO NXT Motors.  When using <a href="http://en.wikipedia.org/wiki/Newton's_laws_of_motion">Newton&#8217;s Laws</a> to compute the forces on the system, we can treat the motor as if all of its mass is located at a single point.  The <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> is the location of this point.</p>
<p><img border="0" align="middle" width="350" src="http://brickengineer.com/pages/pics/physics/motor-com-5785_web.jpg" alt="Hanging an NXT motor to find its center of mass." height="213" /></p>
<p>There are several ways to find the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> of the motor.  The most straightforward way is to hang the motor from an axle placed in one of the holes.  The motor will orient itself so that the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> lies directly below the axle.  By hanging a mass on a string from the axle, the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> must lie somewhere along the line defined by the string. </p>
<p><img border="0" align="middle" width="350" src="http://brickengineer.com/pages/pics/physics/motor-com-5784_web.jpg" alt="The Center of Mass Lies along the line defined by the vertical string" height="263" /></p>
<p>After performing this experiment, I placed a small piece of Scotch tape over the string so that I can keep track of where that line is.  I then cut the string off of the axle.</p>
<p><img border="0" align="middle" width="350" src="http://brickengineer.com/pages/pics/physics/motor-com-5786_web.jpg" alt="A piece of Scotch tape holds the string in place" height="263" /></p>
<p>Now to find the precise point, we simply perform the experiment again, but place the axle through a different hole.  This gives us a second line.  Since the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> must be on both the first line and the second line, it is located at the intersection of these two lines.</p>
<p><img border="0" align="middle" width="350" src="http://brickengineer.com/pages/pics/physics/motor-com-5787_web.jpg" alt="The intersection of the two strings indicates the position of the Center of Mass" height="263" /></p>
<p>The <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> is very close to being aligned with the holes on the motor.  Below is an <a href="http://www.lm-software.com/mlcad/">MLCAD</a> image of the <a href="http://www.philohome.com/nxtldraw/nxtldraw.htm">NXT motor (from Philo)</a>.  I have overlayed a <a href="http://en.wikipedia.org/wiki/Cartesian_coordinate_system">Cartesian coordinate system</a> that corresponds to that used to define the 3-D image file.  The origin of this system is at the center of the axle hole on the motors drive axis.  This is perfect for me since I will be rotating the motor and trying to compute the position of the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> after the motor has rotated through some arbitrary angle.</p>
<p><img border="0" align="middle" width="350" src="http://brickengineer.com/pages/pics/physics/motor-dimensions_web.jpg" alt="The dimesions of the LEGO NXT Motor" height="179" /></p>
<p>This image not only helps with identifying the <a href="http://en.wikipedia.org/wiki/Center_of_mass">Center of Mass</a> of the NXT motor, but also in understanding the dimensions of the NXT motor overall.</p>
<p>Kevin Knuth<br />
Albany NY</p>
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