Motion given by two circular envelopes of two lines
© doc. Ing. Ivana Linkeová, Ph.D.
-----------------------
Specification of a motion
The following rules are valid for a motion given by circular envelope (a) of straight line a and circular envelope (b) of straight line b:
- Straight line a is a tangent line to the envelope (a) at each instant.
- Straight line b is a tangent line to the envelope (b) at each instant.
- Angle ψ formed by straight lines a and b does not change during the motion.
This motion and the motion given by two linear trajectories are inverse motions.
Animation of a motion (motion given by two circular envelopes)
Fixed motion (motion given by two circular envelopes)
Trajectory of a point (motion given by two circular envelopes)
Envelope of a circle (motion given by two circular envelopes)
Envelope of a straight line (motion given by two circular envelopes)
Specification of inverse motion (motion given by two circular envelopes)
- The straight line parallel to the straight line a passing through the centre of circular envelope (a) becomes the trajectory of the centre of moving envelope (a).
- The straight line parallel to the straight line b passing through the centre of circular envelope (b) becomes the trajectory of the centre of moving envelope (b).
- The distance between the centres of moving envelopes (a) and (b) does not change during the motion.
Moving centrode (motion given by two circular envelopes)
