The extruder head in a fused- deposition modeling setup has a diameter of 1.25 mm (0.05 in) and produces layers that are 0.25mm (0.01 inn) thick. If the extruder head and polymer extrudate velocities are both 40mm/s, estimate the production time for the generation of a 38-mm (1.5 in., edge length) solid cube. Assume that there is a 15- second delay after deposition of each layer as the extruder head is moved over a wire brush for cleaning.

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Answer:

The time taken will be "1 hour 51 min". The further explanation is given below.

Explanation:

The given values are:

Number of required layers:

= [tex]\frac{38}{0.25}[/tex]

= [tex]152 \ layers[/tex]

Diameter (d):

= 1.25 mm

Velocity (v):

= 40 mm/s

Now,

The area of one layer will be:

= [tex]38\times 38 \ mm^2[/tex]

= [tex]1444 \ mm^2[/tex]

The area covered every \second will be:

= [tex]d\times v[/tex]

= [tex]1.25\times 40[/tex]

= [tex]50 \ mm^2[/tex]

The time required to deposit one layer will be:

= [tex]\frac{1444}{50}[/tex]

= [tex]28.88 \ sec[/tex]

The time required for one layer will be:

= [tex]15 \ sec[/tex]

Total times required for one layer will be:

= [tex]15+28.88[/tex]

= [tex]43.88 \ sec[/tex]

So,

Number of layers = 152

Therefore,

Total time will be:

= [tex]152\times 43.88[/tex]

= [tex]6669.76 \ sec[/tex]

= [tex]1 \ hour \ 51 \ min[/tex]

The Production time will be "1 hour 51 minutes".

Given values are:

  • Number of layers required = [tex]\frac{38}{0.25}[/tex] = [tex]152 \ layers[/tex]
  • Diameter (d) = [tex]1.75 \ mm[/tex]
  • Velocity (v) = [tex]40 \ m/s[/tex]

Now,

Area of one layer will be:

= [tex]38\times 38[/tex]

= [tex]1444 \ mm^2[/tex]

Area covered per second:

= [tex]d\times v[/tex]

= [tex]1.25\times 40[/tex]

= [tex]50 \ mm^2[/tex]

  • The time required to deposit 1 layer:

= [tex]\frac{1444}{50}[/tex]

= [tex]28.88 \ sec[/tex]

  • The time required for one layer:

= [tex]15 \ sec[/tex]  

∴ Total time for 1 layer will be:

= [tex]15+28.88[/tex]

= [tex]43.88 \ sec[/tex]

hence,

The total time required:

= [tex]152\times 43.88[/tex]

= [tex]6669.76 \ sec[/tex]

= [tex]1 \ hour \ 51 \ minutes[/tex]

Thus the above response is right.

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