The Traditional Motion-Laws (also named Standard Motion-Laws) have been used for many years in cam mechanisms for Rise and Return segments, usually with a Dwell segment between them.

The Traditional Motion-Laws are based on:

•Trigonometric Functions, and/or

•Polynomials Functions

Traditional Motion-Laws:

1.Constant-Acceleration & Deceleration - Polynomial Function

2.Constant-Velocity - Polynomial Function

3.Cubic - Polynomial Function

4.Cycloidal - Trigonometric Function

5.Cycloidal Constant-Velocity 50% -Trigonometric Function

6.Dwell - Polynomial Function

7.Modified-Sinusoid - Trigonometric Function

8.Modified-Trapezoidal - Trigonometric Function

9.Polynomial 2-3 - Polynomial Function

10.Polynomial 3-4-5 - Polynomial Function

11.Polynomial 4-5-6-7 - Polynomial Function

12.Polynomial Low Impact Crossover - construct with two Flexible-Polynomial segments

13.Quadratic - Polynomial Function

14.Ramp - Trigonometric Function

15.Simple-Harmonic - Trigonometric Function

16.Sine-Constant-Cosine Acceleration - Trigonometric Function

a.SCCA with Constant-Velocity 20%, 33%, 50%, 66%.... -

17.Sine-Squared - Trigonometric Function

18.Sinusoidal - Trigonometric Function

19.Triple-Harmonic - Trigonometric Function

You can edit the Segment Parameters in the Segment Editor to get a motion-law similar to:

a.Triple Harmonic - Modified Trapezoidal

b.Triple Harmonic - Modified Sine

c.Triple Harmonic - Zero Jerk at Crossover

20.Flexible Polynomial

Throw: a motion-law is a rise segment followed immediately by a return segment.

You must design these different Throw motion-laws with two Flexible Polynomial segments. They have different continuity, and shape as they rise and return from the maximum displacement.

a.Throw: Quick-Return 1 - Finite Jerk @ Start / End

b.Throw: Quick-Return 2 - Zero Jerk @ Start / End

c.Throw: Rapid-Return 1: Finite-Jerk @ Start/End/Mid-Point

d.Throw: Rapid-Return 1: Zero Jerk @ Start/End, Finite Jerk @ Mid-Point

Low Impact at Crossover uses two Flexible-Polynomial segments to give one Rise motion-law. The Jerk is zero when the Acceleration changes to Deceleration.

e.Low Impact at Crossover

These meet the needs of specific applications.

25.Y–Inverse-Sinusoid : when applied to the motion of a crank, it gives a constant linear velocity at the tip of a crank. Maximum of one Y-Inverse-Sinusoid segment per crank rotation.

26.CV Inverse Crank : similar to the Y-Inverse-Sinusoid, Not limited to one Crank-Constant-Velocity segment per motion.

27.Flexible-Polynomial - a VERY important and useful motion-law - see also Motion-Laws 20 a-e

28.Ramp - also a useful motion-law - see also Motion-Law 5, Cycloidal CV50

29.Asymmetric Motion-Laws

You can import your own motion-values to a List Segment-Type:

29.Position-List

30.Acceleration-List

31.Z-Raw-Data

Flexible-Polynomial is the default motion-law. It is very powerful. We recommend that you learn how to use it effectively and efficiently.

Traditional Motion-Laws have advantages in some circumstances.

We recommend that you use:

•All Flexible-Polynomials - to give powerful and flexible motion-design possibilities

or

•All Traditional Motion-Laws - the easiest to design a Rise and Return type motion

or

•A mixture of Flexible-Polynomial and Traditional Motion-Laws - most difficult motion-design but may have advantages

The Motion-Laws available in MotionDesigner exceed the German Technical VDI-guidelines 2143 Papers (Part) 1 and 2. Also bear in mind, that a motion at a cam-follower or servomotor is usually found by MechDesigner with Inverse-Kinematics. When this is the case, the motion at the cam-follower or servomotor is not the same as the motion-design that is given to the tooling, or Motion-Part.