Sine-Squared Cam-Law, Motion-Law

Sine-Squared Motion-Law is a Traditional Motion-Law

What can you Specify?

You CAN specify  'edit the value of' the:

Position at the START of the segment.
Position at the END of the segment.

The Position at the start of the segment most frequently flows from the Previous-Segment  'are equal to the motion-values at the end of the Previous-Segment'.

You CANNOT specify the

Velocity at the START or END of the segment - the Velocities values are Zero
Acceleration at the START or END of the segment - the Accelerations values are Zero
Jerk at the START or END of the segment. - the Jerk values are Zero

To Specify with the Blend-Point Editor:

Start-Position:

1.Select the Sine-Squared segment [so that it becomes the Selected-Segment]

If No-Flow Control-Button is active, then:

2.Edit the Start-Position [of the Selected-Segment]

If Flow Control-Button is active, then:

2.Edit the End-Position [which will flow to become the the Start-Position of the Selected-Segment]

End-Position

1.Select the Next-Segment that is after the Sine-Squared segment [the Sine-Squared segment becomes the Previous-Segment]
2.Edit the End Position [of the Previous-Segment, which is the End-Position of the Sine-Squared segment]

To Specify with the Segment Editor:

Start-Position

If No-Flow Control-Button is active

1.Select the Sine-Squared segment [so that it becomes the Selected-Segment]
2.Edit the Start-Position [of the Selected-Segment]

If Flow Control-Button is active

3.Select the segment that is before the Sine-Squared segment [the Sine-Squared segment becomes the Next-Segment]
4.Edit the End-Position [which will flow to become the Start-Position of the Sine-Squared Segment]

End-Position

1.Select the Sine-Squared segment [so that it becomes the Selected-Segment]
2.Edit the End-Position

See Control Buttons in Segment-Editor


Motion-Law Coefficients

Cv = 2.000

Ca = ±8.000

Cj = ±52.265

See also: Motion-Law: Sine-Constant-Cosine for Modified Sine with Constant-Velocity options.

CamLaw-SineSquared

Application Notes

This law produces finite jerk throughout the segment. It also produces a relatively low nominal peak velocity, but a relatively high peak nominal acceleration. This Motion-Law also has a relatively low jerk value at the cross-over point (the mid-point).

Dynamic Performance

This Motion-Law is recommended in applications where the period ratio is between 5 and 10, particularly where the input drive is flexible with backlash. Residual Vibration is less than many other laws.

Pressure Angle Considerations

This one of the Traditional Motion-Laws that produce a relatively small pressure angle - and so might allow a smaller cam for a given lift and pre-prescribed maximum pressure angle.

Drive Torques

Both the nominal drive torque characteristics and the actual drive torques for low period ratio values are very good for this law. The low peak values and smooth variation of the drive torque during the motion segment further emphasise the suitability of this Motion-Law in applications where the input drive is flexible or exhibits backlash.

 

Tutorial and Reference Help Files for MechDesigner and MotionDesigner 13.2 + © Machine, Mechanism, Motion and Cam Design Software by PSMotion Ltd