WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Rolling Cycloidal Curves

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number of cusps: stator
12
rotor1
8
rotor2
5
hide rotor2
speed ratio stator/rotor1
1
speed ratio rotor1/rotor2
-2
curve type
epicycloid
hypocycloid
alternating
animation
An
m
-cusped epicycloid can roll inside an
n
-cusped epicycloid with the same generating circle radius and if
m<n
. The same holds for hypocycloids. A cycloidal gear is effectively an alternating sequence of epicycloidal- and hypocycloidal arcs. An
m
-lobed cycloidal gear can roll inside an
n
-lobed cycloidal gear with the same generating circle radius if
m<n
.
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