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A detailed Modelica model of a hydraulic circuit is accurate but slow: a \
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predicts the outcome of a brand-new design in milliseconds rather than \
seconds, while staying close to the original model's answers. In short: you \
pay the simulation cost once, up front, to train the surrogate, and then \
every later evaluation is almost free."
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Cell["\<\
The circuit is a clamp-and-punch sequence: one cylinder clamps the workpiece, \
a second cylinder drives the punch that cuts it. It is built from two \
double-acting cylinders, a fixed-displacement pump, a sequence valve, a \
pressure-reducing valve, a relief valve, and two 4/3 directional control \
valves, reproducing the canonical industrial press from the Eaton Hydraulics \
Training Manual.\
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A good design has to balance three goals that pull against each other:\
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Wolfram System Modeler; a free trial download is available at \
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The Hydraulic library, which supplies the base press circuit this model \
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In the diagram you can see the two cylinders (clamp and punch), the pump and \
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The table below records each parameter's default value, the range we will \
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                    TypeSystem`NestedGrid`PackagePrivate`headerHidden$]], 
                    Nothing, 
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                    TypeSystem`NestedGrid`PackagePrivate`lastPathType$ == 
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                    TypeSystem`NestedGrid`PackagePrivate`$hPos$$, 
                    TypeSystem`NestedGrid`PackagePrivate`$grid$$, 
                    TypeSystem`NestedGrid`PackagePrivate`localHold[
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                    MenuEvaluator -> Automatic]], Delimiter}, 
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                    TypeSystem`NestedGrid`PackagePrivate`isLeafHeader$, 
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                    TypeSystem`NestedGrid`PackagePrivate`$hPos$$, 
                    TypeSystem`NestedGrid`PackagePrivate`$grid$$, 
                    TypeSystem`NestedGrid`PackagePrivate`localHold[
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A quick sanity check: this 3x3 grid of scatter plots shows how 100 LHS \
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Set up the points for plotting: the full design cloud, the Pareto frontier, \
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\>", "ImageResolution" -> 144., "LightDark" -> "Light"], \
ExpressionUUID->"114052f4-0d36-374d-8b05-9e8bab7d514c"]
}, Open  ]],

Cell["\<\
The two 2D projections below make the trade-off easier to read: throughput \
against efficiency, and throughput against cut quality. The selected design \
is circled in red on each.\
\>", "Text", ExpressionUUID->"568bf12c-185c-ee4b-ad7a-94fa079df33f"],

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A surrogate is only as good as its agreement with the real physics. Before \
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surrogate was trained to predict - their final values can be read directly \
from each simulation, with no post-processing. That also keeps the comparison \
apples-to-apples with the surrogate's predictions."
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