The cycloidal gear profile is a form of toothed gear used in mechanical clocks, rather than the involute gear form used for most other gears. The gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the outside and inside of another circle, respectively. When two toothed gears mesh, an imaginary circle, the pitch circle, can be drawn around the centre of either gear through the point where their teeth make contact. The curves of the teeth outside the pitch circle are known as the addenda, and the curves of the tooth spaces inside the pitch circle are known as the dedenda. An addendum of one gear rests inside a dedendum of the other gear. In the cycloidal gears, the addenda of the wheel teeth are convex epi-cycloidal and the dedenda of the pinion are concave hypocycloidal curves generated by the same generating circle. This ensures that the motion of one gear is transferred to the other at locally constant angular velocity. The size of the generating circle may be freely chosen, mostly independent of the number of teeth. A Roots blower is one extreme, a form of cycloid gear where the ratio of the pitch diameter to the generating circle diameter equals twice the number of lobes. In a two-lobed blower, the generating circle is one-fourth the diameter of the pitch circles, and the teeth form complete epi- and hypo-cycloidal arcs. In clockmaking, the generating circle diameter is commonly chosen to be one-half the pitch diameter of one of the gears. This results in a dedendum which is a simple straight radial line, and therefore easy to shape and polish with hand tools. The addenda are not complete epicycloids, but portions of two different ones which intersect at a point, resulting in a "gothic arch" tooth profile. A limitation of this gear is that it works for a constant distance between centers of two gears. This condition -in most of the cases- is impractical because of involvement of vibration, and thus in most of the cases, an involute profile of the gear is used. There is some dispute over the invention of cycloidal gears. Those involved include Gérard Desargues, Philippe de La Hire, Ole Rømer, and Charles Étienne Louis Camus. A cycloid (as used for the flank shape of a cycloidal gear) is constructed by rolling a rolling circle on a base circle. If the diameter of this rolling circle is chosen to be infinitely large, a straight line is obtained. The resulting cycloid is then called an involute and the gear is called an involute gear. In this respect involute gears are only a special case of cycloidal gears. (Wikipedia).
#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)
From playlist Miscellaneous
http://www.mekanizmalar.com/speed_reducer.html A cycloidal drive or cycloidal speed reducer is a mechanism for reducing the speed of an input shaft by a certain ratio. Cycloidal speed reducers are capable of high ratios in compact sizes. The input shaft drives an eccentric bearing that in
From playlist Indexing
The Cycloid - The Helen of Geometry
This video defines, shows how a cycloid is formed, and explains 4 interesting properties of a cycloid. http://mathispower4u.com
From playlist Mathematics General Interest
Calculus 2: Parametric Equations (10 of 20) What is a Cycloid? - Rolling Wheel
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain something unique to parametric equations for finding the positions of x and y. This involves a point on the edge of a rolling wheel tracing out a cycloid “shape” on a graph. Next video in the
From playlist CALCULUS 2 CH 17 PARAMETRIC EQUATIONS
Pantograph for drawing cycloid curves
Blue, orange, green and yellow bars create a pantograph. Two red pins and blue one are in line. The blue pin traces a curve of cycloid family (in green) subject to radii of pink and violet cranks, gear transmission ratio (2 for this video). Inventor files of this video: http://www.mediaf
From playlist Mechanisms
Epicyclic gearing or planetary gearing is a gear system consisting of one or more outer gears, or planet gears, revolving about a central, or sun gear. Typically, the planet gears are mounted on a movable arm or carrier, which itself may rotate relative to the sun gear.
From playlist Mechanical Engineering
A way to connect fluid to a rotary cylinder. The red fitting is connected to the rear cylinder space through rear center hole of the cylinder. The cyan fitting is connected to the front cylinder space through circular groove on the inner face of the blue connector and long eccentric hole o
From playlist Mechanisms
mod-28 lec-29 Design Analysis of ORBIT Motor - I
Fundamentals of Industrial Oil Hydraulics and Pneumatics by Prof. R.N. Maiti,Department of Mechanical Engineering,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Fundamentals of Industrial Oil Hydraulics and Pneumatics (CosmoLearning Mechanical Engineering)
Roulettes: The Mathematics of Rolling
#SoME1 An introduction to the class of curves known as roulettes, created for the Summer of Mathematical Exposition (SoME) competition hosted by the YouTube channel 3Blue1Brown. The rules for SoME can be found at https://www.3blue1brown.com/blog/some1. This is my first time ever creating
From playlist Summer of Math Exposition Youtube Videos
Support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resour
From playlist Science
mod-17 lec-18 Basic features of some Hydraulic Pumps and Motors
Fundamentals of Industrial Oil Hydraulics and Pneumatics by Prof. R.N. Maiti,Department of Mechanical Engineering,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Fundamentals of Industrial Oil Hydraulics and Pneumatics (CosmoLearning Mechanical Engineering)
Construction of Particular Planar Curves using GeoGebra - Florida GeoGebra Conference 2022: Part 13
Here, Petra Surynková leading us in our final Florida GeoGebra Conference session: "Constructions of Particular Planar Curves Using GeoGebra”. Link to GeoGebra book referenced here: https://www.geogebra.org/m/mh9srps6
From playlist 2022 Florida GeoGebra Conference
How different type of gear system works. ✔
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From playlist Mechanical Engineering.
Input is the yellow shaft having a gear and a disk. The cyan slider (a cam) reciprocates in a slot on the disk due to the red cam that fixed to the red gear. The red gear receives motion from the yellow gear through the blue and the green gears. The orange slider's roller can contact with
From playlist Mechanisms
How to Design a Wheel That Rolls Smoothly Around Any Given Shape
Go to https://brilliant.org/Morphocular to get started learning STEM for free. The first 200 people get 20% off an annual premium subscription. In previous videos, we looked at how to find the ideal road for any given wheel shape and vice-versa, but what about getting two wheels to roll s
From playlist The Wonderful World of Weird Wheels
Geometry Constructions by Petra Surynkova
Learn Geometry Constructions with GeoGebra! In this video series, Petra Surynkova will guide you through a variety of constructions, including bisectors, perpendiculars, and more. Follow along with her clear explanations and visual aids to master the art of geometric construction in GeoGeb
From playlist FLGGB 2023
Input: green shaft carrying three gears. Output: pink hollow shaft in which orange shaft slides. The pink and orange shafts rotate together owing cyan key, that has a revolution joint with the orange shaft. Red, yellow and blue gears engage with the green gears and idly rotates (with diffe
From playlist Mechanisms
Input is the orange cam. Due to gear rack drive, the green output crank has longer stroke (the pink curve, an extended cycloid) than the yellow follower (the violet line).
From playlist Mechanisms