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Derive a general analytical model ( equation ) for the volume build rate of a direct, vector - scan, single - laser SL process in
Derive a general analytical model equation for the volume build rate of a direct, vectorscan, singlelaser SL process in terms of the following parameters: Effective laser spot size or cured line width on the surface Lw; Cured layer thickness Zr; Laser scan speed Vs; and time per layer to configure the next layer of liquid resin, the recoating or wiper time tw Assume neighboring cured tracks in a layer are just touching not overlapping at the surface, but overlap about maximum with the layer tracks below. Assume the uncured volume of resin between tracks is part of the build volume. Note that linear shrinkage SL is already included in the track crosssection dimensions, but not in the length direction.
For Zr Lw mm Vs mms and a volume curing shrinkage of calculate the following:
a The volume build rate cmh neglecting the wiper time.
b The time to build a single x cm layer and a cm cube L
c For what wiper cycle time, does the wiper time add to the total time in b
d For what smaller layer area does the wiper time in c double the total time.
e For a x cm cured layer, if the first track defines the outer edges of the layer, what must be the length of the edges scanned by the laser.
f Repeat part b for the laser set at the fill or hatch mode, where Lw mm and Zr mm
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