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General Design Principles for DuPont Engineering Polymers - Module

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Calculations <strong>for</strong> Inertia Welding Tools<br />

and Machines<br />

In order to bring a plastic from a solid to a molten<br />

state a certain amount of heat, which depends on the<br />

type of material, is necessary. <strong>Engineering</strong> plastics<br />

actually differ very little in this respect, and so this<br />

factor will be neglected in the following discussion.<br />

The quantity of heat required <strong>for</strong> melting is produced<br />

by the energy of the rotating masses. When the joint<br />

faces are pressed together, the friction brings the<br />

flywheel to a stop in less than a second.<br />

With plastics having a narrow melting temperature<br />

range, such as acetal resins, the tool should not per<strong>for</strong>m<br />

more than one or two revolutions once contact<br />

has been made. If the pressure between the two parts is<br />

too low, the flyweight will spin too long, and material<br />

will be sheared off as the plastic solidifies, producing<br />

welds which are weak or which will leak.<br />

This factor is not so important with amorphous<br />

plastics, which solidify more slowly. For all plastics, it<br />

is best to use higher pressures than are absolutely<br />

necessary, since in any case this will not cause the<br />

weld quality to suffer.<br />

To get good results with inertia machines, the following<br />

parameters should be observed:<br />

• Peripheral speed at the joint<br />

As far as possible, this should not be lower than<br />

10 m/sec. But with small diameter parts it is occasionally<br />

necessary to work between 5 and 10 m/sec,<br />

or else the required rpms will be too high. In general,<br />

the higher the peripheral speed, the better the<br />

result. High rpms are also advantageous <strong>for</strong> the<br />

flywheel, since the higher the speed, the smaller the<br />

mass needed <strong>for</strong> a given size of part to be joined.<br />

• The flywheel<br />

Since the energy of the flywheel is a function of its<br />

speed of rotation and of its moment of inertia, one of<br />

these parameters must be determined as a function<br />

of the other. The kinetic energy is a function of the<br />

square of the speed (rpms), so that very slight<br />

changes in speed permit adjustment to the required<br />

result. In general, <strong>for</strong> engineering plastics, the<br />

amount of ef<strong>for</strong>t needed to weld 1 cm2 of the<br />

projection of the joint area is about 50 Nm. The<br />

amount of material which has to be melted also<br />

depends on the accuracy with which the two profiles<br />

fit together, and there<strong>for</strong>e on the injection molding<br />

tolerances. It would be superfluous to carry out too<br />

accurate calculations because adjustments of the<br />

speed are generally required anyway.<br />

• Welding pressure<br />

As mentioned above, the pressure must be sufficient<br />

to bring the mass to rest within one or two revolutions.<br />

As a basis <strong>for</strong> calculation, we may assume that<br />

a specific pressure of 5 MPa projected joint area is<br />

89<br />

required. It is not enough merely to calculate the<br />

corresponding piston diameter and air pressure; the<br />

inlet pipes and valves must also be so dimensioned<br />

that the piston descends at a high speed, as otherwise<br />

pressure on the cylinder builds up too slowly.<br />

Very many of the unsatisfactory results obtained in<br />

practice stem from this cause.<br />

• Holding pressure<br />

Once the material has melted, it will take some time<br />

to resolidify, so that it is vital to keep up the pressure<br />

<strong>for</strong> a certain period, which will depend on the<br />

particular plastic, and is best determined experimentally.<br />

For Delrin ® , this is about 0.5–1 seconds, but<br />

<strong>for</strong> amorphous plastics it is longer.<br />

Graphical Determination of Welding<br />

Parameters<br />

The most important data can be determined quickly<br />

and easily from the nomogram (see Figure 11.26)<br />

which is suitable <strong>for</strong> all <strong>DuPont</strong> engineering plastics.<br />

Example: First determine the mean weld diameter d<br />

(see Figure 11.27) and the area of the projection of<br />

the joint surface F.<br />

Figure 11.26 Determination of welding parameters<br />

θ D (mm)<br />

120<br />

110<br />

100<br />

95<br />

90<br />

85<br />

80<br />

75<br />

70<br />

65<br />

60<br />

55<br />

50<br />

20<br />

10<br />

8<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1.5<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.3<br />

0.2<br />

F (cm2 )<br />

4<br />

8,000 t,min od 5 mm<br />

7,000 28<br />

6,000 33<br />

5,000 40<br />

4,000 50<br />

3,500 57<br />

3,000 65<br />

2,500 80<br />

2,000 100<br />

1,800 110<br />

1,600 125<br />

1,400 140<br />

1,200 165<br />

1,000 200<br />

3<br />

2<br />

1<br />

30<br />

40<br />

50<br />

60<br />

70<br />

80<br />

90<br />

100<br />

120<br />

10,000<br />

5,000<br />

3,000<br />

2,000<br />

P (N)<br />

1,000<br />

500<br />

400<br />

300<br />

200<br />

100

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