Motion-Law Equations

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Motion-Law Equations

Motion-law Equations

We evaluate exactly and quickly the Position, Velocity, Acceleration, and Jerk values for each motion-law from the equation for each motion-derivative.


Motion-Laws

The important motion-laws are:

Dwell

Constant Velocity

Constant Acceleration -Constant Deceleration

Simple Harmonic Motion

Cycloidal

Polynomial 2-3

Polynomial 3-4-5

Polynomial 4-5-6-7

Modified Sinusoid

Modified Trapezoid


Motion Functions

Actual Velocity, Acceleration, and Jerk

You can calculate the actual motion-values of each motion-derivative if you know the Actual Displacement ( ), the Actual Period ( ), and the motion function

Actual Position =

 

Actual Velocity =

 

Actual Acceleration =

 

Actual Jerk =

 


Dwell

Constant Velocity

;

;

;

Constant-Acceleration, Constant-Deceleration (CACD)







Simple Harmonic Motion (SHM)




Cycloidal




Polynomial 2-3




Polynomial 3-4-5




Polynomial 4-5-6-7




Modified Sinusoid










Modified Trapezoid