Advanced Motion Profile Calculator

Calculator Inputs

Profile Name

Units

Time Step (s)

Start Position

End Position

Maximum Velocity (units/s)

Maximum Acceleration (units/s²)

Dwell Before (s)

Dwell After (s)

Example Data Table

Example	Start	End	Max Velocity	Max Acceleration	Dwell Before	Dwell After	Detected Profile	Move Time
Linear actuator indexing move	0 mm	1200 mm	300 mm/s	150 mm/s²	0.50 s	0.25 s	Trapezoidal	6.0000 s
Short precision positioning move	20 mm	110 mm	400 mm/s	500 mm/s²	0.20 s	0.20 s	Triangular	0.8485 s
Reverse slide return move	900 mm	300 mm	250 mm/s	125 mm/s²	0.30 s	0.30 s	Trapezoidal	4.4000 s

Formula Used

Travel distance: Distance = |End Position − Start Position|

Critical distance: Critical Distance = V_max² / A_max

Trapezoidal condition: When travel distance is greater than critical distance, the system reaches maximum velocity and includes a cruise segment.

Triangular condition: When travel distance is less than or equal to critical distance, the system accelerates and decelerates without a cruise segment.

Acceleration time: t = V / A

Acceleration distance: d = 0.5 × A × t²

Cruise distance: d_cruise = Total Distance − d_accel − d_decel

Cruise time: t_cruise = d_cruise / V_peak

Total move time: t_move = t_accel + t_cruise + t_decel

Total cycle time: t_cycle = Dwell Before + Move Time + Dwell After

Average velocity: V_avg = Distance / Move Time

How to Use This Calculator

Enter a profile name for your report.
Select the engineering unit you want to use.
Provide start and end positions for the move.
Enter the maximum permitted velocity and acceleration.
Add any dwell time before or after motion.
Choose a time step for graph resolution and export detail.
Press Calculate Motion Profile.
Review the detected profile, phase timing, table, graph, CSV, and PDF outputs.

FAQs

1. What does this motion profile calculator measure?

It calculates motion phase timing, displacement, peak velocity, acceleration, average velocity, duty cycle, and sampled plot data for a linear engineering move.

2. What is the difference between triangular and trapezoidal motion?

A triangular profile never reaches the allowed maximum velocity. A trapezoidal profile reaches that velocity, then travels at constant speed before decelerating.

3. Why does the calculator switch profile types automatically?

The tool compares move distance with critical distance. That comparison determines whether a cruise segment is physically possible under the entered acceleration and velocity limits.

4. Why are dwell times included?

Dwell periods matter in indexing, packaging, conveyors, robotics, and actuators. They affect total cycle time, throughput, and timing coordination with upstream or downstream equipment.

5. Can I use inches, feet, millimeters, or meters?

Yes. The calculator accepts several unit labels. Keep all motion values consistent within the selected unit so the graph and outputs remain meaningful.

6. What does the critical distance mean?

Critical distance is the minimum travel required to accelerate up to maximum velocity and then decelerate symmetrically at the entered acceleration limit.

7. Why should I change the time step value?

Smaller time steps create smoother plots and denser export tables. Larger steps reduce sampled points and may suit quick reviews or lighter reports.

8. Is this useful for servo, actuator, and automation design?

Yes. It supports feasibility checks, cycle planning, velocity budgeting, motion sequencing, and documentation for automated systems that follow basic symmetric profiles.