The Theo
Jansen Mechanism is simply a combination of a four-bar mechanism
(Crank-Rocker) with a another four-bar mechanism that create a motion similar to gait
motion at the end-effector. Click right picture to see the animation. The following is a
detailed construction process.
|
|
Step of construction |
Illustration |
1. Start with a point A on
z-axis.
2. Draw a line parallel to
y-axis through A. Take a point B on the line such that
=
4.174 .
3.
Draw a circle in yz-plane centered on point O of radius 1.543
.
Take a movable point M on the circle. |
|
4. In yz-plane, draw
circle centered M of radius 5.006
,
circle centered M of radius 6.513
,
and circle centered B of radius 3.799
.
Point C is the higher one of intersections of first and third circles.
Point D is the lower one of intersections of second and third circles.
5.
Connect segment MC, MD, BC, and BD. |
|
6. Hide previous three
circles.
7. Draw a line in yz-plane
perpendicular to segment BC. Point E is on the line such that
=
.
8. Draw a line through D
and E. Point F is the reflection of point B around line DE.
9.
Connect segment CE, BE, EF, and DF. |
|
10. Hide previous two
lines.
11.
Draw a line in yz-plane perpendicular to segment DF. Point G is on the
line such that
=
6.005 . |
|
12. Hide previous line.
13. Take a point M'
central symmetry of M through O. Reflect point B around z-axis to get
point B'.
14.
Repeat steps 4~11 to point M' and point B'. |
|
15. Hide the yz-plane, and
draw the x-axis.
16. Take a suitable point
O' on x-axis. Translate all segments mapping point O to point O'. Take
convex polygons constructed by corresponding segments.
17. Point O'' is the central symmetry of O
through O'. Point M'' is the central symmetry of M through O''.
18.
Create a plane perpendicular to x-axis through O''. Reflect point B in
this plane to obtain B''. |
|
19.
In the plane perpendicular to x-axis through B'', repeat steps 4~17 to
point M'' and B''. |
|
20.
Draw a sphere centered point O'' and through point M. Hide all the
objects expect those convex polyhedrons. |
|