Cycloidal-CV50 Motion-Law

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Cycloidal-CV50 Motion-Law

Cycloidal-CV50 Cam-Law, Motion-Law


A Traditional Motion-Law.  Use the Ramp Motion-Law to design a Cycloidal-CV50.

The Cycloidal-CV50 has three phases:

Phase 1: Acceleration : first ½ wave of a Sine function : 25% of the Segment-Width.

Phase 2: Zero Acceleration, Constant Velocity : 50% of the Segment-Width.

Phase 3: Deceleration : last ½ wave of a Sine function : 25% of the Segment Width

A motion with continuous Velocity and Acceleration, from start to end, The Jerk is finite at its start and end.

Its peak Acceleration is quite high, but its peak Velocity is quite low.


You CAN control the:

Select the RAMP Motion-Law :

Start Position

The Start-Position usually flows from the End-Position of the Previous-Segment.

End Position

You CANNOT control the:

Start Velocity & End Velocity - by definition, they are zero(0)

Start Acceleration & End Acceleration  - by definition, they are zero(0)

Start Jerk & End Jerk  - by definition, they are finite

Segment Parameters


The Segment-Parameter values in the Ramp motion-law to give the Cycloidal CV50 motion-law.

Start-Fraction × 100 = % of Segment-Width

End-Fraction × 100 = % of Segment-Width



End- Range

0 ≤ Start-Range < End-Range ≤ 1

Cycloidal-CV50 (50% is Constant-Velocity (with Ramp Motion-Law / Cam-Law

Cycloidal-CV50 (50% is Constant-Velocity (with Ramp Motion-Law / Cam-Law

Motion-Law Coefficients

Velocity Coefficient :

Acceleration Coefficient :

Jerk Coefficient :

Jerk at Crossover :

Application Notes:

Dynamic Performance

The Cycloidal CV50 Motion-Law is recommended in applications where you need the peak velocity to be low when compared to others. It has a large Peak Acceleration, with a short duration, thus more likely to induce vibrations.

Pressure Angle Considerations

It gives a relatively low pressure angle - because of its low peak velocity.

Drive Torques

This Motion-Law is not recommended in many applications as it gives a sudden change in torque. The input transmission rigidity would need to be high.