﻿ Cycloidal-CV50 Motion-Law

# Cycloidal-CV50 Motion-Law

### Cycloidal-CV50 Cam-Law, Motion-Law

The motion-law is not in the Motion-Law Selector.

You must:

 1 Use the Motion-Law Selector to select a Ramp Motion-Law
 2 Edit the segment with the Segment-Editor
 3 Enter 25% for the Start-Fraction and the End-Fraction in the Segment Parameters separator.

### How to edit

Use the Blend-Point Editor to edit the:

 • Start Position
 • End Position

Click the Next-Segment to edit the Position at the end of this segment.

### Cycloidal CV50: a Traditional Motion-Law.

The Cycloidal CV50 has three phases:

 • Phase 1: Acceleration Phase with a Ca of 8.378. It is one-half of the Sine function
 • Phase 2: Constant Velocity for 50% of the Segment-Width
 • Phase 3: Deceleration Phase, again with a Ca of -8.378, that is one-half of the Sine function

It s the same as the Cycloidal, but with a constant-velocity period that is 50% of the segment width.

It is a symmetrical motion-law.

### Cycloidal CV50%:

The Motion-Law is a Sine function when viewed in acceleration.

 • Symmetrical
 • Position, Velocity and Acceleration Continuity
 • Finite Jerk

Motion-Law Coefficients

 • Velocity Coefficient: Cv = 1.33
 • Acceleration Coefficient: Ca= 8.378
 • Jerk Coefficient: Cj= ±105.276
 • Jerk at Cross-over: Cj(co)= ±105.276 (Effectively)

### Application Notes:

 Dynamic Performance 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.   Drive Torques This Motion-Law is not recommended in applications as it will give a sudden change in torque.

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