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Thickness Analysis (2)

Thickness Variation in Seamless Tube (continued)

Analysis of thickness variations
   For the detailed analysis of thickness variations, the recording from a single transducer on the rotary probe is selected and the measurements obtained for each revolution of the transducer analysed as a data set. The effect of eccentricity may be considered by taking an eccentric tube and plotting the wall thickness against angle of rotation (Fig.3a); the variation obtained is very close to sinusoidal at a frequency of one cycle peer transducer rotation.

The action of rotary forging tends to thin the tube wall effectively at the top and bottom (deep in roll groove) but leaves it thicker at the sides; this produces ovality (Fig.3b) which when plotted approximates to a sinusoidal graph with two cycles per probe rotation.  

    To eliminate ovality, the bloom is turned by about 90° between each blow from the mill rolls. The small residual variation takes the form of a sinusoidal thickness variation having four cycles per probe, rotation which is termed ‘squareness’ (see diagram to the right)
   The above components, together with mean thickness, can be extracted from each set of thickness data using Fourier series analysis. This technique calculates an amplitude and phase angle for each component. The amplitude is a measure of the size or importance of the component, and the phase angle is the angle of rotation around the tube to the thickest portion of the tube due to that component.

Fig 3

Using the data analysis to improve performance

    The use of the microprocessor-based unit enables the components of variation to be plotted to a base of distance along the tube. In the example illustrated in Fig. 4, mean thickness variation (Fig. 4a) is shown to be well under control except at the very front of the pipe.   Fig. 4b and 4c show the amplitude and phase angle of the eccentricity component respectively. The amplitude is fairly constant but the phase angle moves steadily through 180° along the tube. A possible explanation of this variation is that the ingot was eccentrically pierced along its full length and that the rotary elongator has twisted the eccentrically pierced bloom by 180° along its length.
   The sensitivity of the data analysis technique is such that even a small and quite acceptable squareness effect can be detected and monitored to ensure that it does not become excessive; Figs. Ed and 4c are examples of the amplitude and phase angle of this effect. Variation in phase angle shows that the twist given to the bloom between blows of the rolls is not 90° but somewhat higher; this causes the pattern to spiral down the tube. (The vertical breaks in phase angle from + 45° to - 45° are caused by the four-corner pattern shown in Fig.3c which causes an ‘artificial’ jump as the next corner comes nearest to zero angle of reference). From the rate at which this spiral progresses down the tube, the twist per blow can be calculated. This angle of twist, typically 110°, is carefully and deliberately chosen and set up on the mill to minimise the squareness effect.
 


Fig 4

  Analysis of thickness variations of seamless tubes by the technique described in this article has to be combined with measurements and observations made on the rotary forge mill itself. Further developments are in hand to enable the full potential of the rotary forge method of seamless tube manufacture to be realised and to provide a closer dimensional tolerance tube to cater for future market trends.

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Author
S. Prouten
BSc.

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