... circle, the result is an Involute Curve (with Displacement in Inches on the both axes). 5/28/2013. The Involute Curve http://abbeyclock.com/gearing4.html. 1/3 ...
The Involute Curve. There is another approach used to simulate rolling action. Consider what happens when you place one end of a straight line (with a length equal to half the circumference of the circle) on the perimeter of a circle and then rotate that line around the perimeter of the circle until the other end touches the perimeter of the circle.
If you observe what happens to the end of the line, you will see how it moves away from the circle. If you trace a line along the path taken by the end of the straight line as it rolls around the circle, the result is an Involute Curve (with Displacement in Inches on the both axes).
http://abbeyclock.com/gearing4.html
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5/28/2013
The Involute Curve
The main difference in this design is that the entire tooth is based upon the involute curve rather than just the addendum. The shape of the involute curve is determined by the size (radius) of the generating circle (that the straight line rolls around). Since the entire tooth is based upon the involute curve, the tooth flank (the lower part, below the pitch circle) does not point to the circle center (as happens in the radial flanks): the tooth is wider at the base and is therefore much stronger by design.
http://abbeyclock.com/gearing4.html
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The Involute Curve
5/28/2013
The portion of the Involute Curve that would be used to design a clock gear tooth is steeper (it has a larger gradient) than the Epicycloidal Curve. A portion of the two curves is compared in the graph below. The axes both indicate displacement in inches. Since the radius of the generating circle is one, the X axis also indicates the angle in radians for the Epicycloidal Curve. The portion of the curves used to design a clock gear tooth would be equivalent to a rotation of 60º (if a 6 tooth pinion were used) or π/3 (=1.05) radians. To compare the curves, I used a mirror image of the Involute Curve by subtracting the X values from π before creating the graph (with Displacement in Inches on the both axes).
Note that one way to strengthen the tooth design with the epicycloidal design would be to design the flank based upon a hypocycloidal curve, which is defined as a curve that is generated by rolling a circle around the circumference inside another circle (compare with the epicycloidal curve, rolling a circle around the circumference outside another circle). The result is that the tooth space (between two gear teeth) has a somewhat more similar shape below the pitch circle (in the dedendum portion) to the shape of the addendum of the tooth of the other gear that goes into it. Mark Headrick
May 28, 2013 - Figure 15 shows a platform from a Hermle ship's bell clock mechanism (ca. 2007). Virtually all of the new ship's bells clocks, except for Chelsea ...
... (with Rotation in Degrees on the X axis and Displacement in Inches on the Y axis). 5/28/2013. The Epicycloidal Curve http://abbeyclock.com/gearing3.html. 1/3 ...
May 28, 2013 - This is probably the most impressive example of a modern Herschede ... the proper relationship of these parts (read the strike rack repair essay.
May 28, 2013 - 'normal load'), and the number of contact points will increase: ... slow-moving parts do not experience such levels of heat, so a different ... You will have noticed that water boils at 100º Centigrade: at 99º, it is a liquid; at 101
May 28, 2013 - Considering how much this clock cost, you would expect it to have a Graham escapement. 5/28/2013. Elliott http://abbeyclock.com/elliott.html.
May 28, 2013 - It is one of the best designs of chiming clocks, making it ... 1. The chime train, shown in Figure 2, should be assembled before the time train ...
1890 Japy Clock. 5/28/2013. Another French Japy Clock http://abbeyclock.com/japy2.html. 1/4. Page 2. This Japy clock was in very poor condition mechanically ...
May 28, 2013 - gently together, only some points on the surfaces will make contact. ... closer together when a force is applied at right angles to the surfaces ...
May 28, 2013 - The exceptionally durable Revere Telechron electric clock is one of several ... As expensive as the new motors have become, you might be ...
May 28, 2013 - The Atmos clock is one of the most difficult clocks a repairman will encounter at the bench. This clock should only be serviced by a professional: ...
... ship's bell clocks. The sequence for the bells is the same. 5/28/2013. The Schatz Royal Mariner Ship's Bell Cl⦠http://abbeyclock.com/mariner.html. 1/7 ...
May 28, 2013 - A worked example of this is below. A table showing ... Using the formula: (Practical ... A clock comes in for repair with a replacement pendulum.
Notice in Figure 3 that the shaft of the third wheel in the chime train. 5/28/2013. Modern grandfather clock http://abbeyclock.com/grandfather.html. 1/10 ...
May 28, 2013 - The rest of the cutting is performed by hand with a hobby knife: 5/28/2013 ... The inner part and the outer part are cut and the top is removed:.
May 28, 2013 - In order to find the forces exerted onto each pivot in the gear train of a watch, very sensitive ... I will reverse the normal order of this project by presenting the conclusion first, ... higher boiling points and they vaporize less e
May 28, 2013 - The following information was once on a webpage offering a clock for sale. ... from the internet, but not before I had saved the information.
Omega 551 (circa 1960) and a Rolex 1570 (circa 1969) wristwatches. 5/28/2013. Gearing: The Module and Gear Cutters http://abbeyclock.com/gearing9.html.
Mar 9, 1999 - Do not buy a hole closing set (13415). ... sale. I note that many clockmakers like optivisors. I cannot see well through them, so try before you buy. .... âThe top 300 trade secrets of a master clockmakerâ by Jim Huckabee, a very ..
May 28, 2013 - together in Morbier clocks are somewhat similar in design and construction to the medieval church tower clocks, made of strips of forged iron, ...
May 28, 2013 - together in Morbier clocks are somewhat similar in design and construction to the medieval church tower clocks, made of strips of forged iron, ...
May 28, 2013 - brass, in this website, describes the chemical properties of brass .... Consider what would happen if you introduced a few grains of sand into a.