Evaluate the AutomationView desktop suite free for 30 days. No credit card required. Claim trial key →
person_outline shopping_cart
arrow_back Back to Calculators

Motion Profile (Accel/Decel) Calculator

Compute accel/decel time and peak velocity for trapezoidal/S-curve moves.

Move Parameters

Total Move Time

0.00 s
Trapezoidal Profile
Peak Velocity 0.0 mm/s
Accel Time 0.00 s
Const Vel Time 0.00 s
Decel Time 0.00 s
info
Disclaimer of Liability: This calculator is provided for educational and estimation purposes only. By using this tool, you agree to discharge AutomationView of any liability for direct, indirect, or consequential damages resulting from its use. It is your strict responsibility to independently verify all calculations, validate the results against official manufacturer documentation, and ensure compliance with all applicable safety and engineering standards before implementing any parameters in a production environment.

Motion Profiles in Automation

Motion profile calculators are essential tools for planning the trajectory of mechanical systems. By defining velocity, acceleration, and position over time, engineers can optimize movement for speed, smoothness, or both. The two most common profiles are Trapezoidal and S-Curve.

Trapezoidal vs. S-Curve Profiles

Trapezoidal Profile

A trapezoidal motion profile consists of three distinct phases: constant acceleration, constant velocity, and constant deceleration. Because the transition between these phases is instantaneous, the acceleration changes abruptly.

  • Pros: Provides the fastest possible move time for a given maximum velocity and acceleration.
  • Cons: The abrupt change in acceleration (theoretically infinite “jerk”) can excite high-frequency mechanical resonances, causing vibrations.
  • Best For: Simple, fast, and non-critical movements where vibration is not a primary concern.

S-Curve (Jerk-Limited) Profile

An S-curve profile smooths out the acceleration and deceleration phases by introducing a limit on Jerk (the rate of change of acceleration). A full S-curve typically involves seven phases, ramping the acceleration up and down gradually.

  • Pros: Minimizes mechanical wear, vibration, and noise by providing smooth transitions.
  • Cons: Results in slightly longer move times and requires more complex computations.
  • Best For: High-precision applications, delicate payloads, and systems with high inertia.

Key Motion Parameters

To calculate a motion profile, you must define the following limits:

  • Target Distance: The total distance the load needs to move.
  • Maximum Velocity (vmax): The top speed allowed during the constant velocity phase.
  • Maximum Acceleration (amax): The highest allowable rate of speed increase or decrease.
  • Maximum Jerk (j): For S-curves, the maximum rate at which acceleration can change.

Modern motion controllers (like PLCs or servo drives) typically handle the complex polynomial equations required for S-curves internally. You simply provide the target distance, vmax, amax, and jerk limits, and the controller generates the smooth trajectory.