avatarDr John Frederick Rose

Summary

Gears are fundamental components that have been crucial to technological advancements throughout history, from ancient machinery to modern applications, and their design and function continue to be a subject of fascination and study.

Abstract

The article emphasizes the critical role of gears in the advancement of human civilization, showcasing their use in various historical and modern contexts. It touches on the complexity of gear design, the mathematical principles governing gear kinematics, and the practical aspects of gear manufacturing. The text highlights the efficiency of gear mechanisms due to their rolling motion, which minimizes friction and wear, in contrast to sliding friction exemplified by a pencil on paper. Historical examples such as the Antikythera mechanism and the gears of the Han dynasty illustrate the long-standing use of gears. The article also marvels at the natural occurrence of gear-like structures in the biological world, such as those found on the legs of plant-hopper nymphs, which serve to synchronize movement.

Opinions

  • The author expresses a personal connection to gears, having written a poem and taken courses in gear design, suggesting a deep appreciation and intellectual curiosity for the subject.
  • There is admiration for the craftsmanship involved in machining gears, as evidenced by the pleasure derived from watching an expert at work.
  • The author finds the meshing of gears to be a particularly fascinating aspect of their operation, indicating a profound interest in the mechanical interactions that enable gears to function effectively.
  • The text conveys a sense of wonder at the discovery of gears in nature, highlighting the intriguing parallels between biological mechanisms and human-engineered systems.

Gears are Vital to Our Civilisation.

Society absolutely depends on its ability to make and use gears.

Cage gear in Pantigo Windmill, Long Island (with the driving gearwheel disengaged). By Interior_view_Pantigo_Windmill_East_Hampton_Suffolk_County_New_York.jpg: Historic American Buildings Survey, National Park Servicederivative work: Twirlip (talk) — Interior_view_Pantigo_Windmill_East_Hampton_Suffolk_County_New_York.jpg, Public Domain, https://commons.wikimedia.org/w/index.php?curid=12104712. This image or media file contains material based on a work of a National Park Service employee, created as part of that person’s official duties. As a work of the U.S. federal government, such work is in the public domain in the United States.

Helpful son challenged me, “Write poem about gears”, So here it is!

Think about car, Gearbox for getting low speed power and high gear for speed, Sowing machines have complex gears, Even my coffee grinder.

Antikythera mechanism 89BC, Earliest example of geared analogue computer used by ancient Greeks to calculate astronomical positions, Similar devices didn’t appear until astronomical clocks of Richard of Wallingford in 14th century.

w:en:Antikythera mechanism fragment (fragment A). The mechanism consists of a complex system of 30 wheels and plates with inscriptions relating to signs of the zodiac, months, eclipses and pan-Hellenic games. The mechanism was probably built by a mechanical engineer of the school of Posidonius in Rhodes. Cicero, who visited the island in 79/78 B.C. reported that such devices were indeed designed by the Stoic philosopher Posidonius of Apamea. The design of the Antikythera mechanism appears to follow the tradition of Archimedes’ planetarium, and may be related to sundials. His modus operandi is based on the use of gears. The machine is dated around 89 B.C. and comes from the wreck found off the island of Antikythera. National Archaeological Museum, Athens, №15987. By No machine-readable author provided. Marsyas assumed (based on copyright claims). Own work assumed (based on copyright claims)., CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=469865 Licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

Have done several courses in gear design, Mathematics kinematics and many other headaches, Even had a go at machining some under instruction by very nervous craftsman.

But there has always been something that fascinated me and that’s how gears mesh.

Animation of single stage gear reducer. Notice gear edges are rolling off each other in mesh. By Simiprof. Licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

Gears Don’t Slide — They Roll

Rolling Efficient and low friction, Two meshing gears teeth’s contacting surfaces roll off each other neither sliding nor scraping, Difference seems semantic just playing with words, But rolling has huge impact on life and performance of gears by minimising friction.

Pencil sliding on paper tiny pigment amount worn off and transferred to sheet of paper, Excellent for pencil horrible for gears, Gears must run for millions of revolutions, Can’t be resharpened like pencils.

Two involute gears, the left driving the right: Blue arrows show the contact forces between them. By Claudio Rocchini — Own work, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=1309245. Licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

Involute gear profile, Investigated since Girolamo Cardano 1545 and Christiaan Huygens 1656, Swiss mathematician Leonhard Euler 1781 derived mathematical basis for engineering design and student headaches.

Iron gears, Han dynasty. By Gary Todd from Xinzheng, China, https://commons.wikimedia.org/w/index.php?curid=101967575. This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.

Machining Involute Gears.

Video of expert craftsman machining gears, Pleasure to watch, Admire his skill.

Gears in Nature.

Planthopper nymphs have small gear-like structure on base of each hind leg.

Gear teeth intermesh to keep legs synchronized when insect jumps, Prevents it from spiraling, Gear is shed before moulting into adults.

Issus coleoptratus. Genova, Italy. By Hectonichus — Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=54361438. Licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

Blessed be.

Poetry
Gear
Gearbox
Involute Gear Cutters
History Of Technology
Recommended from ReadMedium