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Elastomere Friction - The Best Friend international

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Experimental and <strong>The</strong>oretical Investigations 229<br />

Fig. 6 Time constant of the tangential force ˇ FT (t) after a slippage step Sstart →<br />

Starget. <strong>The</strong> start level Sstart of the slippage step is represented on the abscissa, the<br />

target value Starget is regarded as a parameter.<br />

by an arrow. Aside from a few outliers the curves run nearly parallely. <strong>The</strong><br />

difference between the curves with the start slippage values Sstart = 10%<br />

and Sstart = 50% amounts to approximately Δτ ≈ 0.3 s. <strong>The</strong> average slope<br />

of the characteristics is mτ, target ≈−2 s. Slippage steps down to a level<br />

of Starget = 10% result in a time constant between τ50, 10 ≈ 1.15 s and<br />

τ20, 10 ≈ 1.45 s. <strong>The</strong> lowest time constant within the observed measurement<br />

range originates from the step up to the target level Starget = 70%, the values<br />

amount to τ50, 70 ≈ 0.05 s and τ10, 70 ≈ 0.4 s.<br />

To get a more clear image of the dependency on the start value of the<br />

slippage step, Figure 6 shows of time constant τ plotted versus Sstart, here<br />

the target value Starget serves as a parameter.<br />

<strong>The</strong> already mentioned weak decreasing dependency of the time constant<br />

τ on the start level Sstart can be obviously seen in Figure 6. Within the<br />

observed measurement range this tendency can be regarded as linear. <strong>The</strong><br />

accordant slope value is mτ, start ≈−0.8 s. This is clearly below the slope<br />

value mτ,target ≈−2 s describing the dependency on the target value Starget,<br />

which can be seen in Figure 5.<br />

3 Rolling Contact Model<br />

In this section a mechanical model will be shown, which represents the<br />

global dynamics of the rolling contact observed in the measurements, see Sections<br />

2.2 and 2.3. Furthermore it gives insights into the local friction behavior,

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