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		<title>Wood Clock Gears with Motor Drive &#8211; Part 3 of 3</title>
		<link>https://paulbupejr.com/wood-clock-gears-3/</link>
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		<dc:creator><![CDATA[paulbupe]]></dc:creator>
		<pubDate>Fri, 21 Dec 2018 19:50:23 +0000</pubDate>
				<category><![CDATA[Electrical]]></category>
		<category><![CDATA[Mechanical]]></category>
		<category><![CDATA[Projects]]></category>
		<category><![CDATA[solidworks]]></category>
		<guid isPermaLink="false">http://paulbupejr.com/?p=253</guid>

					<description><![CDATA[<p><span class="span-reading-time rt-reading-time" style="display: block;"><span class="rt-label rt-prefix">Reading Time: </span> <span class="rt-time"> 4</span> <span class="rt-label rt-postfix">minutes</span></span>Picking up from Part 2, the third and final part of the wood click gears with motor drive build covers the stepper motor drive. The gears ended up driving this really beautiful clock. Note that I did not build the clock, just the gears driving the hands. This part of the build was fairly simple &#8230; <a href="https://paulbupejr.com/wood-clock-gears-3/" class="more-link">Continue reading <span class="screen-reader-text">Wood Clock Gears with Motor Drive &#8211; Part 3 of 3</span></a></p>
<p>The post <a href="https://paulbupejr.com/wood-clock-gears-3/">Wood Clock Gears with Motor Drive &#8211; Part 3 of 3</a> appeared first on <a href="https://paulbupejr.com">Paul Bupe Jr, PhD</a>.</p>
]]></description>
										<content:encoded><![CDATA[<span class="span-reading-time rt-reading-time" style="display: block;"><span class="rt-label rt-prefix">Reading Time: </span> <span class="rt-time"> 4</span> <span class="rt-label rt-postfix">minutes</span></span>
<p>Picking up from <a href="http://paulbupejr.com/wood-clock-gears-2/">Part 2</a>, the third and final part of the wood click gears with motor drive build covers the stepper motor drive. The gears ended up driving this really beautiful clock. <em><strong>Note that I did not build the clock, just the gears driving the hands.</strong></em></p>



<div class="wp-block-image"><figure class="aligncenter"><img fetchpriority="high" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/IMG_1738_20181228_131930-1024x768.jpg" alt="" class="wp-image-331" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/IMG_1738_20181228_131930-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/IMG_1738_20181228_131930-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/IMG_1738_20181228_131930-768x576.jpg 768w, https://paulbupejr.com/wp-content/uploads/2018/12/IMG_1738_20181228_131930.jpg 2048w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure></div>



<span id="more-253"></span>



<p>This part of the build was fairly simple since it was just a matter of driving a stepper motor at a constant speed. I also included a switch to be able to reverse direction.</p>



<h2 class="wp-block-heading">Block Diagram</h2>



<div class="wp-block-image wp-image-316 size-full"><figure class="aligncenter"><img decoding="async" width="911" height="446" src="http://paulbupejr.com/wp-content/uploads/2018/12/Signal-Flow.png" alt="block diagram" class="wp-image-316" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/Signal-Flow.png 911w, https://paulbupejr.com/wp-content/uploads/2018/12/Signal-Flow-300x147.png 300w, https://paulbupejr.com/wp-content/uploads/2018/12/Signal-Flow-768x376.png 768w" sizes="(max-width: 911px) 100vw, 911px" /><figcaption>Block diagram</figcaption></figure></div>



<p>The drive system is extremely simple as shown in the block diagram. I did not create a schematic for the build and just used the block diagram for reference instead. The circuit was powered by a standard 5V regulated wall charger.</p>



<h2 class="wp-block-heading">Stepper Motor and Driver</h2>



<div class="wp-block-image"><figure class="aligncenter"><img decoding="async" width="300" height="300" src="http://paulbupejr.com/wp-content/uploads/2018/12/driver-300x300.jpg" alt="" class="wp-image-323" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/driver-300x300.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/driver-150x150.jpg 150w, https://paulbupejr.com/wp-content/uploads/2018/12/driver-45x45.jpg 45w, https://paulbupejr.com/wp-content/uploads/2018/12/driver.jpg 500w" sizes="(max-width: 300px) 100vw, 300px" /></figure></div>



<p>Since the project didn&#8217;t require a large motor, I used the 28BYJ-48 stepper stepper motor with the ULN2003 driver. This is an extremely popular stepper/driver combination with a great deal of documentation available online.</p>



<h2 class="wp-block-heading">ATtiny85 Microcontroller</h2>



<div class="wp-block-image size-full wp-image-322"><figure class="aligncenter"><img loading="lazy" decoding="async" width="600" height="289" src="http://paulbupejr.com/wp-content/uploads/2018/12/attiny.png" alt="attiny85" class="wp-image-322" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/attiny.png 600w, https://paulbupejr.com/wp-content/uploads/2018/12/attiny-300x145.png 300w" sizes="auto, (max-width: 600px) 100vw, 600px" /><figcaption>ATtiny85 Pinout</figcaption></figure></div>



<p>I opted to use the ATtiny85 microcontroller since I only needed a few pins to control the stepper motor driver. The ATtiny85 has 5 usable I/O pins &#8212; I used 4 for the stepper driver and 1 for the forward/reverse switch. Lastly, it is largely Arduino compatible so many library work without modification.</p>



<h5 class="wp-block-heading">Code</h5>



<p>The code (included below) was fairly straightforward &#8212; there is nothing fancy happening and I used the <a href="https://www.airspayce.com/mikem/arduino/AccelStepper/">AccelStepper</a> library. It is able to run the motor more efficiently than the default Arduino stepper library and includes a half-stepping mode, which is recommended for this motor.</p>



<p>Here is a <a href="https://create.arduino.cc/projecthub/arjun/programming-attiny85-with-arduino-uno-afb829">great tutorial</a> on using the Arduino Uno to program the ATtiny85. <em>As a side note on the tutorial, you can get away with programming it without using the capacitor.&nbsp;</em></p>



<div class="wp-block-codemirror-blocks-code-block code-block"><pre class="CodeMirror" data-setting="{&quot;showPanel&quot;:true,&quot;languageLabel&quot;:&quot;language&quot;,&quot;fullScreenButton&quot;:true,&quot;copyButton&quot;:true,&quot;mode&quot;:&quot;clike&quot;,&quot;mime&quot;:&quot;text/x-csrc&quot;,&quot;theme&quot;:&quot;cobalt&quot;,&quot;lineNumbers&quot;:false,&quot;styleActiveLine&quot;:false,&quot;lineWrapping&quot;:false,&quot;readOnly&quot;:true,&quot;fileName&quot;:&quot;&quot;,&quot;language&quot;:&quot;C&quot;,&quot;maxHeight&quot;:&quot;400px&quot;,&quot;modeName&quot;:&quot;c&quot;}">// Simple program to drive a stepper at a constant speed
// using an Attiny85
// Paul Bupe Jr

#include &lt;AccelStepper.h&gt;;

// Defining some useful constants
#define HALFSTEP 8
#define MINUTE_STEPS 1.13777
#define SECOND_STEPS 68.266
#define SECOND_STEPS 115

// Motor pin definitions
#define motorPin1  0     // IN1 on the ULN2003 driver 1
#define motorPin2  1     // IN2 on the ULN2003 driver 1
#define motorPin3  2     // IN3 on the ULN2003 driver 1
#define motorPin4  3     // IN4 on the ULN2003 driver 1

#define dirPin     4     // Input for Clock Direction

bool last_dir = HIGH;
float step_speed = SECOND_STEPS;

// Initialize the stepper library in half-stepping mode
AccelStepper stepper(HALFSTEP, motorPin1, motorPin3, motorPin2, motorPin4);

void setup()
{  
   pinMode(dirPin, INPUT);
   stepper.setMaxSpeed(1000); // Arbitrary max speed 
   stepper.setSpeed(step_speed);	
}

void loop()
{  
  int dir = digitalRead(dirPin); // Get direction from switch
    // Only executes if the direction changed
    if (last_dir != dir) {
      if (dir) {
        stepper.setSpeed(step_speed); // Clockwise
        last_dir = HIGH;
      } else {
        stepper.setSpeed(-(step_speed)); // Counter Clockwise
        last_dir = LOW;
      }
  }
   stepper.runSpeed();
}
</pre></div>



<h2 class="wp-block-heading">Putting Everything Together</h2>



<p>With all the parts in and program written, I did some quick prototyping just to make sure everything worked as expected.</p>



<div class="wp-block-image"><figure class="aligncenter"><img loading="lazy" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-2-1024x768.jpg" alt="" class="wp-image-206" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-2-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-2-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-2-768x576.jpg 768w" sizes="auto, (max-width: 1024px) 100vw, 1024px" /></figure></div>



<p>I then designed a quick mount in SolidWorks and printed it out using my 3D printer.</p>



<div class="wp-block-image"><figure class="aligncenter"><img loading="lazy" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-8-1024x768.jpg" alt="" class="wp-image-211" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-8-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-8-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-8-768x576.jpg 768w" sizes="auto, (max-width: 1024px) 100vw, 1024px" /></figure></div>



<p>Then it was just a matter of crimping a few wires and soldering everything together.</p>



<div class="wp-block-image"><figure class="aligncenter"><img loading="lazy" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-9-1024x768.jpg" alt="" class="wp-image-212" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-9-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-9-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-9-768x576.jpg 768w" sizes="auto, (max-width: 1024px) 100vw, 1024px" /></figure></div>



<div class="wp-block-image"><figure class="aligncenter"><img loading="lazy" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-10-1024x768.jpg" alt="" class="wp-image-213" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-10-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-10-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-10-768x576.jpg 768w" sizes="auto, (max-width: 1024px) 100vw, 1024px" /></figure></div>



<p>After that I tested everything out then mounted it on to the back of the gear assembly.</p>



<div class="wp-block-image"><figure class="aligncenter"><img loading="lazy" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-12-1024x768.jpg" alt="Motor Drive" class="wp-image-215" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-12-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-12-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-12-768x576.jpg 768w" sizes="auto, (max-width: 1024px) 100vw, 1024px" /></figure></div>



<div class="wp-block-image"><figure class="aligncenter"><img loading="lazy" decoding="async" width="1024" height="768" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-16-1024x768.jpg" alt="" class="wp-image-216" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-16-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-16-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-16-768x576.jpg 768w" sizes="auto, (max-width: 1024px) 100vw, 1024px" /></figure></div>



<p>Finally a quick test with everything assembled and it was good to go!</p>



<figure class="wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio"><div class="wp-block-embed__wrapper">
<iframe loading="lazy" title="Wood Clock Gears with Stepper Motor Drive" width="660" height="371" src="https://www.youtube.com/embed/8Df9Y0o6tR4?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>
</div></figure>



<hr class="wp-block-separator"/>
<p>The post <a href="https://paulbupejr.com/wood-clock-gears-3/">Wood Clock Gears with Motor Drive &#8211; Part 3 of 3</a> appeared first on <a href="https://paulbupejr.com">Paul Bupe Jr, PhD</a>.</p>
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			</item>
		<item>
		<title>Wood Clock Gears with Motor Drive &#8211; Part 2 of 3</title>
		<link>https://paulbupejr.com/wood-clock-gears-2/</link>
					<comments>https://paulbupejr.com/wood-clock-gears-2/#comments</comments>
		
		<dc:creator><![CDATA[paulbupe]]></dc:creator>
		<pubDate>Thu, 20 Dec 2018 22:50:39 +0000</pubDate>
				<category><![CDATA[Mechanical]]></category>
		<category><![CDATA[Projects]]></category>
		<category><![CDATA[solidworks]]></category>
		<guid isPermaLink="false">http://paulbupejr.com/?p=245</guid>

					<description><![CDATA[<p><span class="span-reading-time rt-reading-time" style="display: block;"><span class="rt-label rt-prefix">Reading Time: </span> <span class="rt-time"> 2</span> <span class="rt-label rt-postfix">minutes</span></span>Picking up from Part 1 of the wood clock gears project where I designed the gears, Part 2 will cover the physical assembly of the gear build. This was the simplest part of the build since it only involved cutting the gears using a laser cutter and gluing everything together. Cutting the Gears Since I &#8230; <a href="https://paulbupejr.com/wood-clock-gears-2/" class="more-link">Continue reading <span class="screen-reader-text">Wood Clock Gears with Motor Drive &#8211; Part 2 of 3</span></a></p>
<p>The post <a href="https://paulbupejr.com/wood-clock-gears-2/">Wood Clock Gears with Motor Drive &#8211; Part 2 of 3</a> appeared first on <a href="https://paulbupejr.com">Paul Bupe Jr, PhD</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p><span class="span-reading-time rt-reading-time" style="display: block;"><span class="rt-label rt-prefix">Reading Time: </span> <span class="rt-time"> 2</span> <span class="rt-label rt-postfix">minutes</span></span>Picking up from <a href="http://paulbupejr.com/wood-clock-gears-1/">Part 1</a> of the wood clock gears project where I designed the gears, Part 2 will cover the physical assembly of the gear build. This was the simplest part of the build since it only involved cutting the gears using a laser cutter and gluing everything together.</p>
<p><span id="more-245"></span></p>
<h2>Cutting the Gears</h2>
<p><figure id="attachment_217" aria-describedby="caption-attachment-217" style="width: 660px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-large wp-image-217" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-1-1024x768.jpg" alt="Gears cutout" width="660" height="495" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-1-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-1-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-1-768x576.jpg 768w" sizes="auto, (max-width: 660px) 100vw, 660px" /><figcaption id="caption-attachment-217" class="wp-caption-text">Gears and frame cutout</figcaption></figure></p>
<p>Since I designed the gears in SolidWorks, it was just a matter of exporting them as .DXF files and cutting them out on a laser cutter. I used wood approximately .2in thick which was sturdy enough for my needs.</p>
<h2>Gluing Everything Together</h2>
<p>As shown in the drawing from  <a href="http://paulbupejr.com/wood-clock-gears-1/">Part 1</a>, the 10 teeth gear is physically coupled to the 40 teeth gear while the 12 and 36 teeth gears share the same shaft but are free spinning. The 12 teeth gear controls the minute hand while the 36 teeth gear controls the hour hand.</p>
<p><img loading="lazy" decoding="async" class="size-large wp-image-207" style="font-weight: bold; background-color: transparent; color: #707070; font-family: 'Noto Sans', sans-serif; text-align: inherit;" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-3-1024x768.jpg" alt="Assembled gears" width="660" height="495" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-3-1024x768.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-3-300x225.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-3-768x576.jpg 768w" sizes="auto, (max-width: 660px) 100vw, 660px" /><span style="font-size: 14px; background-color: transparent; color: #707070; font-family: 'Noto Sans', sans-serif; text-align: inherit;">Gears glued together with bearings</span></p>
<p>The 36 teeth gear has a hollow tube with a .25in inner diameter through which the shaft from the 12 teeth gear (the minute hand) goes through. I used quick setting epoxy to glue everything together.</p>
<p><figure id="attachment_208" aria-describedby="caption-attachment-208" style="width: 660px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-large wp-image-208" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-4-e1545518260834-1024x693.jpg" alt="Drive Ger" width="660" height="447" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-4-e1545518260834-1024x693.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-4-e1545518260834-300x203.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-4-e1545518260834-768x519.jpg 768w" sizes="auto, (max-width: 660px) 100vw, 660px" /><figcaption id="caption-attachment-208" class="wp-caption-text">Drive Gear</figcaption></figure></p>
<p>The 12 teeth gear will be directly coupled to the motor so I fit it with a .25in shaft. I also made a D cut into the shaft to help with the coupling to the stepper motor.</p>
<h2>Assembled Build</h2>
<p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-221" src="http://paulbupejr.com/wp-content/uploads/2018/12/clock-15-e1545169372248-1024x578.jpg" alt="finished gears" width="660" height="373" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/clock-15-e1545169372248-1024x578.jpg 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-15-e1545169372248-300x169.jpg 300w, https://paulbupejr.com/wp-content/uploads/2018/12/clock-15-e1545169372248-768x433.jpg 768w" sizes="auto, (max-width: 660px) 100vw, 660px" /></p>
<p>The post <a href="https://paulbupejr.com/wood-clock-gears-2/">Wood Clock Gears with Motor Drive &#8211; Part 2 of 3</a> appeared first on <a href="https://paulbupejr.com">Paul Bupe Jr, PhD</a>.</p>
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			</item>
		<item>
		<title>Wood Clock Gears with Motor Drive &#8211; Part 1 of 3</title>
		<link>https://paulbupejr.com/wood-clock-gears-1/</link>
					<comments>https://paulbupejr.com/wood-clock-gears-1/#comments</comments>
		
		<dc:creator><![CDATA[paulbupe]]></dc:creator>
		<pubDate>Wed, 19 Dec 2018 15:08:44 +0000</pubDate>
				<category><![CDATA[Mechanical]]></category>
		<category><![CDATA[Projects]]></category>
		<category><![CDATA[solidworks]]></category>
		<guid isPermaLink="false">http://paulbupejr.com/?p=220</guid>

					<description><![CDATA[<p><span class="span-reading-time rt-reading-time" style="display: block;"><span class="rt-label rt-prefix">Reading Time: </span> <span class="rt-time"> 3</span> <span class="rt-label rt-postfix">minutes</span></span>I was asked to design and build the gear and drive mechanism for a 6 foot clock. The clock had an hour and a minute hand and needed to move in both the clockwise and anti-clockwise direction. This was not a &#8220;realtime clock&#8221; and needed to move visibly fast. I decided to use wood clock &#8230; <a href="https://paulbupejr.com/wood-clock-gears-1/" class="more-link">Continue reading <span class="screen-reader-text">Wood Clock Gears with Motor Drive &#8211; Part 1 of 3</span></a></p>
<p>The post <a href="https://paulbupejr.com/wood-clock-gears-1/">Wood Clock Gears with Motor Drive &#8211; Part 1 of 3</a> appeared first on <a href="https://paulbupejr.com">Paul Bupe Jr, PhD</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p><span class="span-reading-time rt-reading-time" style="display: block;"><span class="rt-label rt-prefix">Reading Time: </span> <span class="rt-time"> 3</span> <span class="rt-label rt-postfix">minutes</span></span></p>
<p>I was asked to design and build the gear and drive mechanism for a 6 foot clock. The clock had an hour and a minute hand and needed to move in both the clockwise and anti-clockwise direction. This was not a &#8220;realtime clock&#8221; and needed to move visibly fast.</p>
<p>I decided to use wood clock gears with a motor drive for the sake of simplicity. This build was definitely more out of my comfort zone than usual but proved to be a fun and educational experience. Part 1  goes over the design of the gears. <a href="http://paulbupejr.com/wood-clock-gears-2/">Part 2</a> will cover the physical build and Part 3 the electrical design and final build.</p>
<p><span id="more-220"></span></p>
<h2>Preliminary Design</h2>
<hr />
<p>The design called for a minute and hour hand so the target gear ratio was 1:12 (since it&#8217;s a 12 hour clock). A clock requires the output shafts to be aligned, meaning I needed to create a compound gear configuration of four gears with two sharing a shaft each. The shaft spacing between each gearset needs to be the same. I chose to use spur gears since they are the most appropriate for my design and are also very easy to manufacture.</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-full wp-image-226" src="http://paulbupejr.com/wp-content/uploads/2018/12/Gear-Alignment.png" alt="" width="738" height="476" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/Gear-Alignment.png 738w, https://paulbupejr.com/wp-content/uploads/2018/12/Gear-Alignment-300x193.png 300w" sizes="auto, (max-width: 738px) 100vw, 738px" /></p>
<h3>Calculating Gear Ratios</h3>
<p>I set the minimum number of teeth to 10 since I only wanted to use four gears and based on the scale of the design. This made the gear ratio 10:120 (which is still the same). I then multiplied 10 by the square root of 12 (since that&#8217;s the gear ratio I&#8217;m targeting for each) to yield a new compound gear ratio of 10:35:120, which can be represented as 10:35 and 35:120.</p>
<p>Because I didn&#8217;t want to deal with a 120 teeth wooden gear, I needed to find a common denominator with which to divide the second set of gears. I bumped up the 35 to 36 and divided the right side by 3 to yield a final result of 10:36 and 12:40. This yields a gear ratio of 1:12</p>
<p style="text-align: center;">
<p class="ql-center-displayed-equation" style="line-height: 13px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-6b22d869fa062b8c96eebc937987f437_l3.png" height="13" width="119" class="ql-img-displayed-equation quicklatex-auto-format" alt="&#92;&#091; &#49;&#48;&#42;&#49;&#50;&#58;&#51;&#54;&#42;&#52;&#48;&#92;&#92; &#92;&#093;" title="Rendered by QuickLaTeX.com"/></p>
<p class="ql-center-displayed-equation" style="line-height: 13px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-bbcc30725659430cb1dcb5f603d1131d_l3.png" height="13" width="77" class="ql-img-displayed-equation quicklatex-auto-format" alt="&#92;&#091; &#49;&#50;&#48;&#58;&#49;&#52;&#52;&#48;&#92;&#92; &#92;&#093;" title="Rendered by QuickLaTeX.com"/></p>
<p class="ql-center-displayed-equation" style="line-height: 13px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-3fe2c487b535c434eaa693e7d0ea822e_l3.png" height="13" width="40" class="ql-img-displayed-equation quicklatex-auto-format" alt="&#92;&#091; &#49;&#58;&#49;&#50; &#92;&#093;" title="Rendered by QuickLaTeX.com"/></p>
</p>
<h3>Gear Design</h3>
<p>Up to this point I had the following information:</p>
<ul>
<li>The smallest gear has 10 teeth.</li>
<li>Both gear pairs needed to have the same center distance (C).</li>
<li>I wanted the pitch diameter (the effective diameter at which two gears mate) of the smallest gear to be around 1.5 inches.</li>
</ul>
<p>The following image from <a href="https://www.groschopp.com/knowing-teeth-gear-terminology/" target="_blank" rel="noopener noreferrer">Groschopp</a> is a useful reference for gear terms and meanings.</p>
<p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-225" src="http://paulbupejr.com/wp-content/uploads/2018/12/Gear-Terminology-1024x913-1024x913.png" alt="" width="660" height="588" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/Gear-Terminology-1024x913.png 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/Gear-Terminology-1024x913-300x267.png 300w, https://paulbupejr.com/wp-content/uploads/2018/12/Gear-Terminology-1024x913-768x685.png 768w" sizes="auto, (max-width: 660px) 100vw, 660px" /></p>
<p>The most important value I had to calculate was the module (m) of the gears. The module is the ratio of the pitch diameter (d) to the number of teeth (N):</p>
<p class="ql-center-displayed-equation" style="line-height: 37px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-e4219d4decd0b2df95259e30dae4df94_l3.png" height="37" width="58" class="ql-img-displayed-equation quicklatex-auto-format" alt="&#92;&#091; &#109;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#78;&#125; &#92;&#093;" title="Rendered by QuickLaTeX.com"/></p>
<p>Two gears must have the same module in order to properly mate. With a pitch diameter of 1.5 and 10 teeth, the module of the first gear is <img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-61b12034080d97938dd1445c6e759298_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="&#109;&#32;&#61;&#32;&#46;&#49;&#53;" title="Rendered by QuickLaTeX.com" height="14" width="61" style="vertical-align: -1px;"/>. Using the module formula, the pitch diameter of the second gear has to be <img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-375a807c576fd11e4cc733cef56ca95c_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="&#46;&#49;&#53;&#42;&#51;&#54;&#32;&#61;&#32;&#53;&#46;&#52;&#32;&#105;&#110;" title="Rendered by QuickLaTeX.com" height="14" width="120" style="vertical-align: -1px;"/>. The center distance, C, is given by</p>
<p class="ql-center-displayed-equation" style="line-height: 37px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-c9cd4659b4348087d30806ef4ceef7ec_l3.png" height="37" width="96" class="ql-img-displayed-equation quicklatex-auto-format" alt="&#92;&#091; &#67;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#100;&#95;&#49;&#32;&#43;&#32;&#100;&#95;&#50;&#125;&#123;&#50;&#125; &#92;&#093;" title="Rendered by QuickLaTeX.com"/></p>
<p>which evaluates to <img loading="lazy" decoding="async" src="https://paulbupejr.com/wp-content/ql-cache/quicklatex.com-387266d1113197180d61e118903f2984_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="&#67;&#32;&#61;&#32;&#51;&#46;&#52;&#53;&#32;&#105;&#110;" title="Rendered by QuickLaTeX.com" height="14" width="87" style="vertical-align: -1px;"/>. Using this information and the fact that the diametral pitch is the inverse of the module, the rest of the gears were calculated and designed in SolidWorks. In the final design I ended up increasing the pitch diameter to 1.52in.</p>
<p><figure id="attachment_219" aria-describedby="caption-attachment-219" style="width: 660px" class="wp-caption aligncenter"><img loading="lazy" decoding="async" class="size-large wp-image-219" src="http://paulbupejr.com/wp-content/uploads/2018/12/Drawing-1024x659.png" alt="" width="660" height="425" srcset="https://paulbupejr.com/wp-content/uploads/2018/12/Drawing-1024x659.png 1024w, https://paulbupejr.com/wp-content/uploads/2018/12/Drawing-300x193.png 300w, https://paulbupejr.com/wp-content/uploads/2018/12/Drawing-768x494.png 768w, https://paulbupejr.com/wp-content/uploads/2018/12/Drawing.png 1310w" sizes="auto, (max-width: 660px) 100vw, 660px" /><figcaption id="caption-attachment-219" class="wp-caption-text">Gear Design</figcaption></figure></p>
<h2>Notes</h2>
<p>At this point I&#8217;m fairly happy with the design. Since I&#8217;m designing wood clock gears I needed to make sure everything was scaled large enough to handle the stresses of the clock hands. Unfortunately I don&#8217;t know just how heavy the clock hands will be so the design assumes &#8220;reasonable worst case&#8221; scenarios.</p>
<p>The post <a href="https://paulbupejr.com/wood-clock-gears-1/">Wood Clock Gears with Motor Drive &#8211; Part 1 of 3</a> appeared first on <a href="https://paulbupejr.com">Paul Bupe Jr, PhD</a>.</p>
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