[0001] This invention is a calculating system for constructing dies for extruding solid
aluminum shapes.
[0002] Traditionally, solid aluminum shape extruding dies with one or more deliveries are
built using cut heights which differ according to the thickness of the shape and its
distance to the center, in order to regulate the flow of metal and obtain the correct
form and measurements.
[0003] Feeding antechambers have also been used to ensure a good union or weld between two
consecutive extrusions.
[0004] We have developed a system for calculating the metal feed into dies for extruding
one or more solid aluminum shapes which makes the use of varying cut heights unnecessary.
[0005] Our system consists fundamentally in using alignment charts or mathematical formulas
to determine the metal entry angle that must be formed between the shape's axis and
the width of the feeder slot or antechamber cut into the front of the die for each
cross-section of the shape, depending on its thickness and distance to the center.
[0006] Since the flow of metal is regulated by the width of this angle at each point, the
feeder antechambers may be cut into one or more steps, such that the edges of each
step restrict the opening of the feeder angle at each point, or, with the correct
means of mechanization, the inner walls of the chamber may even be cut into the previously
calculated angle.
[0007] When the thickness of metal in the shape is to be greater, a smaller angle is calculated;
and when its thickness should be lesser, a larger angle is calculated.
[0008] These conditions mean that the correct quantity of metal reaches each point of the
cross-section of the shape, and cuts are not required as feed regulators. Therefore
they may be omitted or, if they are included for ease in construction, they will have
all points of the form or shape to be extruded at the same height, which may range
from 0.5 to 20 millimeters.
[0009] In order to find this metal feeder angle, we have experimentally evaluated the feed
produced at each point of the die with regard to the die's center, at variable metal
entry angles and varying with a parameter which we shall call µ, which measures the
relationship between surface area and perimeter for each cross-section of the shape.
To do so, the perimeter of the orifice is divided by the orifice's surface area.
[0010] These data were obtained experimentally. An alignment chart (see Figure 1) was devised
illustrating the relationship between said data, and the mathematical expressions
defining the curves were calculated. With these tools and the rules for using them,
we put together a computer program based on a commercial drawing system which allows
us to project the die and obtain its CAD description on diskette, which may then be
incorporated into the CAM of the die-building machines.
[0011] For a better understanding of this report, the enclosed drawings are attached to
illustrate one nonrestrictive example of execution of the invention, in which:
[0012] Figure 1 gives the coordinates of the alignment chart used to project the die, in
which:
d = distance to the center of the die (measured in millimeters)
L = feed (measured in percentages)
A = chamber width (measured in millimeters)
P = chamber depth (measured in millimeters)
& = chamber angle (measured in degrees)
[0013] Figure 2a is a plan view of one of the symmetrical figures comprising a metal shape
die.
[0014] Figure 2b is a section showing the contours of the steps in the feeder chamber as
well as the measurements that determine the feeder angle.
[0015] Figure 3a is a plan view of one of the four symmetrical deliveries of a shape.
[0016] Figure 4 is a plan view of the antechamber and the location of the deliveries in
the experimental process.
[0017] Figure 5 is a section of the metal entry angle.
[0018] Figure 6 is a plan view of the extruding chamber for one type of shape.
[0019] Figure 7 is a cross-section of the same chamber.
[0020] In order to calculate the feeder chambers for dies with just one cut, a series of
tests was run aimed at quantifying the variables intervening in the design and correction
of dies with a feeder antechamber and a single cut. In this first part, we consider
only solid dies, and we shall attempt to reflect the sequence of our tests.
[0021] We had a 2000 M.T. extrusion press with a 200 mm. ⌀ container, and a small wax extrusion
press with a 300 mm. long tank having a ⌀ of 200 mm.
[0022] We tested different wax compositions with a normal die until we obtained a creep
similar to that of aluminum, comparing the behavior of the ends of the shapes in both
extrusions.
[0023] For one die, we mechanized twelve 6 mm. ⌀ deliveries with 3 mm. of cut in three concentric
circles, arrayed into 4 perpendicular radii.
[0024] The first series of deliveries, without an antechamber, was used as our control sample.
[0025] In the second series, with the same cut length and rod diameter, we placed a 20 mm.
⌀, 10 mm. deep antechamber at the entry.
[0026] The separation between antechambers was great enough to avoid interference in wax
flows.
[0027] In the third series of deliveries, with the same antechamber diameter, we increased
the depth to 15 mm., maintaining the same diameter and cut height.
[0028] In the fourth series of deliveries, maintaining the same depth of 15 mm. for the
antechamber, we increased the diameter to 26 mm.
[0029] After a series of tests and a comparison of their results, we reached the conclusion
that in each concentric circle from the center of the die, the feed and therefore
the extruded length varied with the metal entry angle (α) formed between the delivery
diameter and the chamber diameter.
[0030] We then repeated the tests with aluminum. By measuring the run length flowing out
of each delivery, we reached the following conclusions:
- For the same entry angle, the extruded length decreases the further the deliveries
are from the center of the die.
- For similar entry angles, there is a similarity between the lengths extruded from
orifices located the same distance from the center of the die.
- At a constant diameter, as the depth of the chamber increases, metal creep decreases.
- The maximum feed is obtained when there is no antechamber, which in theory is equal
to an entry angle (α) of 180°.
[0031] In view of these conclusions, we decided to quantify the results, and the possible
variables and test alternatives for doing so are as follows:
| TEST NUMBER |
1 |
2 |
3 |
4 |
| Distance to die center |
Variable |
F. |
F. |
F. |
| Metal entry angle |
Fixed |
V. |
F. |
F. |
| Shape thickness |
Fixed |
F. |
V. |
F. |
| Delivery cut height |
Fixed |
F. |
F. |
V. |
[0032] After running tests 1, 2 and 3 and quantifying the parameters, we used the results
to construct a graph for calculating die sizes, shown in Figure 1.
[0033] Said calculation is performed as follows:
[0034] With the sketch of the die we wish to project in view at all times, we start with
a circle having 85% of the diameter of the container we will use for extrusion, and
we distribute the number of deliveries we wish, arranging them so that the centers
of gravity of the figure coincide with the centers of gravity of the parts of the
circular sector they occupy.
[0035] Next we start at the center and draw concentric circles at every 16 mm. of radius.
These circles will cross the figures of the shapes at different points.
[0036] We will number these points of intersection from the inside out, and we will draw
up a table giving the values of:
Point No. Circle Value of µ Feed Antechamber Depth Width
[0037] Next, using the graph, we follow the values of µ for each point, and at their intersection
with the curve of the circle in which this part of the figure lies, we have the forecast
feed in ordinates at the right. Continuing horizontally until we intersect with the
straight lines numbered c₁, c₂, c₃, c₄, c₅, etc., the projection of the intersection
will give us in abscissas the feed angle in the antechamber. From here, choosing an
antechamber depth of 5, 10 or 15 mm., we will obtain the width of the antechamber
at this point of the figure.
[0038] After completing the table, we will sketch circles of the calculated diameter at
each point chosen.
[0039] Next, by joining the circles with straight tangent lines, we will obtain a sketch
of the contours of the antechamber.
[0040] Should the geometry of the figure make it impossible to build antechambers with the
calculated widths because they interfere, we have two solutions:
- In the first, if the values of µ are very close for various points, we choose the
maximum diameter we can sketch in the critical parts of the figure without two continuous
lines interfering, and we follow the graph backwards in order to calculate the maximum
feed this antechamber will allow. Next we reconstruct the rest of the antechambers,
based on this maximum feed, tracing along straight lines c₁, c₂, c₃, c₄, c₅, etc.,
to obtain the necessary angle. With this we will obtain a die whose feed will be lower
but balanced.
- A second possibility, for dies having variable values of µ, consists in stacking feeder
chambers with different heights, so that, even when the circles of the large chamber
interfere, at a lesser depth there will appear other chambers, with a smaller diameter
and shallower depth.
[0041] Heretofore we have tested dies with a maximum cut of 2 mm. and, in some cases, cut-free
dies, sharpening the bearing at an accelerated angle of 3°, obtaining useable dies
which in all cases yield extrusion rates of up to 80 meters per minute.
Examples of use.
Example No. 1.
[0042] Figure 2a is a plan view of one of the two symmetrical figures forming a die for
a shape to be used in window construction. The feeder angles calculated with the aid
of the alignment chart are marked over the drawing of the three steps that have been
cut to form the feeder angle. Throughout the entire figure, the cut height is 2 mm.
[0043] The form of the steps in the feeder chamber and the measurements that determine the
feeder angle, as it varies for each point in the die, appear detailed in cross-section
form in figure 2b.
[0044] This die was cut into an H-13 steel disk and, after tempering and grinding, said
die was used to manufacture shapes, yielding a shape of the correct measurements and
forms inside tolerances, at an extrusion rate of 60 meters per minute.
Example No. 2.
[0045] Figure 3a gives a plan view of one of the four symmetrical deliveries of a shape
to be used for vertical curtain tracks.
[0046] As in the previous case, the plan view illustrates the three steps that, as they
contour the shape, define the feeder angle of the antechamber which will supply aluminum
to each point of the shape in the necessary quantities in order to regulate delivery
and obtain the correct forms and measurements.
[0047] The cut height contouring the form of the shape is 1.5 mm. throughout the figure.
[0048] The feeder angles were calculated with the aid of the alignment chart in Figure No.
1.
[0049] The cross-section of the antechamber steps limiting the feeder angle calculated for
each point of the die is drawn in figure 2b.
[0050] This four-delivery die was made of H-13 steel, tempered and ground, and used for
extrusion in a 1600 M.T. horizontal aluminum press, producing from the very start
excellent quality aluminum shapes with correct measurement tolerances and surface
finish at a rate of 65 meters per minute.
[0051] Lastly, after the above description, it remains only to indicate that this invention
may admit as many variations in execution as possible without altering its essence
as described above, and may be manufactured in all manner of forms, sizes and materials
whatsoever.
NOTE: Having sufficiently described the above, it remains only to indicate that what
the applicant declares personal and new is what is contained in the following:
1. Calculating system for constructing dies for extruding solid aluminum shapes, wherein
there are one or more deliveries in which the flow of metal forming each part of the
shape or shapes is regulated by means of a metal entry angle at each point of the
shape, which angle shall be calculated in reciprocal ratio with the thickness desired
for said shape such that the cut forming the form of the figure, if there is such
a cut, shall have the same length throughout the figure of the shape.
2. Calculating system for constructing dies for extruding solid aluminum shapes as set
forth in claim 1 above, wherein the form of the feeder chamber and the depth thereof
are determined by said metal entry or feeder angle and may consist of one or more
steps, for ease in mechanization, and the inner edges of said steps are what, along
with the axis of the shape at each point, determine the entry angle, and in extreme
cases the entry angle may even be cut whole, without intermediate steps.
3. Calculating system for constructing dies for extruding solid aluminum shapes as set
forth in claim 1 above, wherein the cut heights forming the form of the shape are
the same at all points of the die, since in our system they do not influence the regulation
of the metal flow and may vary from a ground surface to 20 or more millimeters, whereas
dies are normally manufactured with cuts of 0.5, 1 or 2 mm.
All the above as described in this report comprised of twelve numbered pages typewritten
on one side only and attached drawings.