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LIBRARY ı6ıul 0) - Cranfield University

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6.2 Development of stand-off estimation models<br />

As already mentioned in section 4.2.3, an initial attempt was made to use the<br />

stand-off estimation model proposed by Ogunbiyi [ref. 51] to estimate the stand-off<br />

changes for control purposes. Again a new model was necessary to map the mean<br />

welding current produced by the BDH550 as a result of the combination of the set-up<br />

wire feed speed, the set-up voltage and the stand-off. The data shown in Appendix I<br />

were used for this purpose. The model structure shown in equation 2.21 fitted well<br />

the available data and was adopted. Equation (6.4) shows the resulting model.<br />

I,,, ý, =28595+27.417"WFS+0.10391"SO"V -0.72938. SO. WFS<br />

RZ = 0.9905<br />

SE=7.425<br />

where<br />

RZ is the coefficient of determination of the regression model and<br />

SE is the standard error of the model.<br />

(6.4)<br />

In order to check the quality of the estimates produced by the model, a series<br />

of bead on plate welding trials were carried out with the stand-off starting at 15 mm<br />

and changing linearly as shown in Figure 6.7. Two levels of final stand-off (SOf) were<br />

tested: 20 mm and 10 mm. In order to pinpoint the exact moment when the robot<br />

started and finished the slope path, a robot output was connected to one of the<br />

analogue input channels of the monitoring system as shown in Figure 6.8. The<br />

welding parameters used in the trials were generated by the welding parameter<br />

generator (see section 3.3.2.1) and are shown in Table 6.6, together with the<br />

measured value of the proportionality constant 4mß required in equation 2.22, and the<br />

calculated value, 4. i obtained from equation 2.24 with the coefficients shown in<br />

equation (6.4). This is repeated explicitly in equation (6.5) for easier reference.<br />

4`°``<br />

1<br />

0.10391.6 t-0.72938. WFS<br />

Was N<br />

r-1<br />

ASO,<br />

where<br />

I; mean welding current measured at monitoring cycle i<br />

i=0 monitoring cycle immediately before the start of the stand-off slope<br />

i=N monitoring cycle at the end of the stand-off slope<br />

ASO,<br />

v = SOf - 15.0<br />

133<br />

(6.5)<br />

(6.6)

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