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D.H. Lammlein PhD Dissertation - Vanderbilt University

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Figure 111: (Unsupported, conical tool) A plot of axial (z-direction) force showing an<br />

inverse relationship with rotation rate and a direct relationship with traverse speed.<br />

Figure 112 and Figure 113 show the weld moment about the vertical, z-axis<br />

plotted against rotational speed for each weld. The torque input consistently increased<br />

with increasing traverse speed for the cupped tool and the opposite relationship held for<br />

the conical tool, somewhat inexplicably. The relationship between torque and rotational<br />

rate for the cupped tool and supported setup was not consistent but shows a general<br />

tendency towards reduced torque at higher rotational speeds. For the conical tool this<br />

relationship was seen more reliably. Figure 113 shows that torque reduced in all cases<br />

with increased rotational speed for the conical tool. The reduction in measured torque is<br />

due to material softening at higher rotational speeds but this is mitigated somewhat by the<br />

fact that were the tool spun in a medium of constant viscosity, higher rotational speeds<br />

would result in a larger moment on the tool.<br />

126

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