BIZOMAT MAKEOS · Mechanics

Pusher or Transfer Move Check (Motion Profile, Force, Stop Impact)

What acceleration, speed and force does my pusher need to move this part over the stroke in the time I want, and how hard will it hit if it stops against a hard stop at full speed?

Check of a pusher, transfer or shuttle moving a part over a stroke in a set time with a symmetric accelerate–decelerate (triangular) profile: acceleration, peak speed and the distance covered at peak speed (as the uniformly accelerated motion tool), the force to accelerate the part against sliding friction and the braking force, peak power, and the average impact force if the part is instead stopped at full speed by a hard stop in the stop time (as the impulse and momentum tool), against the actuator force and the stop’s allowable load.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Moving mass (part and slide)kgMass being moved, including the slide or carriage.
StrokemLength of the move.
Move timesTime for the whole move, start to stop.
Sliding friction coefficientFriction coefficient between the part and its guide or table.
Stop time if it hits a hard stopsTime over which a hard stop brings the part from full speed to rest (compression of the stop).
Limits
Actuator force availableNForce the cylinder or drive can push with.
Allowable load on the stopNLargest force the end stop and its mounting may take.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Moving mass (part and slide)
Illustration: Moving mass (part and slide)A weight resting on a scale; Moving mass (part and slide) is how much matter it contains, in kilograms or grams.mExample: 20 kgMoving mass (part and slide)
What it is
Everything the actuator has to accelerate and stop: the part plus the slide, carriage, pusher head and any moving fixture.
Units and format
Enter a number in kg: kilograms. The form accepts 0.000001 kg to 1000000 kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Pushing force, peak power and hard-stop force all rise in proportion to mass.
Get it right
Include the moving parts of the actuator and slide, not only the workpiece; they are often heavier than the part.
What this means: Stroke
Illustration: StrokeA bar with a dimension line and arrows from one end to the other, marking the length Stroke.sExample: 0.3 mStroke
What it is
The length of the move from start position to end position, the distance the part travels.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 100 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.3 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
For the same move time, a longer stroke raises acceleration and peak speed in proportion.
Get it right
Enter metres, not millimetres: a 300 mm stroke is 0.3 m.
What this means: Move time
Illustration: Move timeA timeline from a start mark to an end mark; Move time is the time between them.startendtExample: 0.6 sMove time
What it is
The time allowed for the whole move from standstill to standstill, accelerating over the first half and decelerating over the second.
Units and format
Enter a number in s: seconds. The form accepts 0.01 s to 1000 s. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.6 s as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Acceleration rises with the inverse square of the move time, so halving it needs four times the acceleration.
Get it right
Use the move time only, not the full machine cycle with dwell and return.
What this means: Sliding friction coefficient
Illustration: Sliding friction coefficientA block resting on a surface with the normal force pressing down and friction resisting sliding; Sliding friction coefficient is friction force divided by normal force.NfrictionμExample: 0.3Sliding friction coefficient
What it is
The coefficient of sliding friction between the moving part or slide and the surface or guide it slides on.
Units and format
Enter a plain number with no unit. The form accepts 0 to 2. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.3 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Friction adds μ m g to the pushing force and helps the braking.
Get it right
Use the sliding (kinetic) value for the actual pair of surfaces and lubrication, from the guide maker or a test.
What this means: Stop time if it hits a hard stop
Illustration: Stop time if it hits a hard stopA timeline from a start mark to an end mark; Stop time if it hits a hard stop is the time between them.startendtₛExample: 0.01 sStop time if it hits a hard stop
What it is
The time a rigid end stop takes to bring the moving mass from peak speed to rest if the drive fails to decelerate it, set by how much the stop and its mounting compress.
Units and format
Enter a number in s: seconds. The form accepts 0.0001 s to 10 s. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.01 s as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Hard-stop force is inversely proportional to this time.
Get it right
Enter seconds; a stiff metal stop stops the load in a very short time, which gives a very large force.

Limits

What this means: Actuator force available
Illustration: Actuator force availableA block with an arrow pushing on it; the arrow is the force Actuator force available.FExample: 1000 NActuator force available
What it is
The force the cylinder, linear actuator or drive can deliver to push the load, at the working supply pressure or motor current.
Units and format
Enter a number in N: newtons. The form accepts 0.000001 N to 100000000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1000 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
For a pneumatic cylinder use the force at the real working pressure, allowing for seal friction, not the catalogue theoretical force.
What this means: Allowable load on the stop
Illustration: Allowable load on the stopA block with an arrow pushing on it; the arrow is the force Allowable load on the stop.FExample: 5000 NAllowable load on the stop
What it is
The largest force the end stop and its mounting may take without damage, from the stop maker or your own strength check of the bracket.
Units and format
Enter a number in N: newtons. The form accepts 0.000001 N or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5000 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.

Method and formulas

  1. Triangular profile: a = 4s ÷ t², peak speed = 2s ÷ t, reached at half the time and half the stroke (as the uniformly accelerated motion tool).
  2. Pushing force = m (a + μ g); braking force = m (a − μ g); peak power = pushing force × peak speed.
  3. Hard-stop force = m × peak speed ÷ stop time (as the impulse and momentum tool).
  4. Example: 3.3333 m/s² to 1 m/s needs 125.51 N; hitting a hard stop at full speed would give 2,000 N.

Limitations

  • Rigid part and slide; compliance and cushioning change the forces.
  • Triangular profile; a trapezoidal profile with a cruise phase needs higher acceleration for the same time.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size an actuator for a pusher or shuttle
  • Check what happens if a part overruns into a stop
  • Choose a move time for a transfer

Who it is for

  • Automation engineers
  • Machine designers
  • Maintenance engineers

What you get

  • Acceleration and peak speed
  • Pushing force, braking force and power
  • Impact force at a hard stop

Interpreting the result

  • Halving the move time quadruples the acceleration force and doubles the impact speed.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 175–186. Topic reference; no source tables or recommended settings are reproduced.

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Open the Pusher or Transfer Move Check (Motion Profile, Force, Stop Impact) calculator