Cycloidal with 50% of the Segment-Width has Constant-Velocity - is a Traditional Motion-Law.
The Cycloidal-CV50 has three phases:
Phase 1: Acceleration Phase : first ½ wave of a Sine function : 25% of the Segment-Width; Ca = 8.378.
Phase 2: Constant Velocity : 50% of the Segment-Width.
Phase 3: Deceleration Phase : last ½ wave of a Sine function : 25% of the Segment Width; Ca = 8.378.
To do this motion:
1.Select a Ramp Motion-Law with the Motion-Law Selector
2.Use the Segment-Editor to edit the Motion-Law.
3.Edit the Segment Parameters Start-Fraction and End-Fraction to equal 0.25 [25% of the motion]
Segment Parameters of RAMP
Start-Fraction × 100 = % of Segment-Width for Acceleration
End-Fraction × 100 = % of Segment-Width for Deceleration
Segment-Editor AND Blend-Point Editor
CAN specify the:
•Position at the START of the segment.
The Position motion-value usually flows from the Previous-Segment to the START of the segment.
CAN specify the:
•Position at the END of the segment.
CANNOT specify the:
The Velocity values at the Start and End are [they are 0 units/s ]
The Acceleration values at the Start and End [ they are 0 units/s2 ]
The Jerk values are a function of the Positions at the Start and End of the segment, and its duration.
•Position, Velocity and Acceleration Continuity
•Finite, but four Jerk discontinuities.
•Velocity Coefficient: Cv = 1.33
•Acceleration Coefficient: Ca= 8.378
•Jerk Coefficient: Cj= ±105.276
•Jerk at Cross-Over 0.25 Crossemail@example.com q: Cj(co)= ±105.276 (Effectively)
This 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.
This Motion-Law is not recommended in many applications as it will give a sudden change in torque. The input transmission rigidity would need to be high.