S-curve and Trapezoidal Acceleration / Deceleration

S-curve

If the JerkClosed In physics, jerk is the rate of change of acceleration. More precisely, the derivative of acceleration with respect to time. input of a motion function blockClosed A function block groups an algorithm and a set of private data. It has inputs and outputs. is non-zero, S-curve accelerationClosed A change in velocity over time. Because velocity is a vector, it can change in two ways: a change in magnitude and/or a change in direction. In one dimension, acceleration is the rate at which something speeds up or slows down. However, more generally, acceleration is a vector quantity expressing the change with time of the velocity both in magnitude and in direction. See these Wikipedia articles for more information: http://en.wikipedia.org/wiki/Velocity http://en.wikipedia.org/wiki/Euclidean_vector http://en.wikipedia.org/wiki/Rate_(mathematics) / deceleration is used.

Small Jerk Acceleration

The Figure: "Small Jerk Acceleration" is a velocity plot of the acceleration of a move when Jerk is a small value.

The smaller the Jerk value, the more gradual the rate of change of acceleration / deceleration when transitioning from one velocity to another.

Small Jerk Acceleration

Figure 1: Small Jerk Acceleration

Large Jerk Acceleration

This Figure: "Large Jerk Acceleration" is a velocity plot of the acceleration of a move when Jerk is a large value.

The larger the Jerk value, the more abrupt the rate of change of acceleration / deceleration when transitioning from one velocity to another.

Large Jerk Acceleration

Figure 2: Large Jerk Acceleration

Trapezoidal

If the Jerk input of a motion functionClosed A function calculates a result according to the current value of its inputs. A function has no internal data and is not linked to declared instances. block is zero, trapezoidal acceleration / deceleration is used.

  • The Acceleration input specifies the linear acceleration rate.
  • The Deceleration input specifies the linear deceleration rate.

This Figure: "Trapezoidal Acceleration" is a velocity plot of the acceleration of a move when trapezoidal acceleration is used (Jerk = 0 (zero)).

Trapezoidal Acceleration

Figure 3: Trapezoidal Acceleration

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