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Contact Dynamics Modelling for Robots

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Hertz theory<br />

Introduction<br />

Impulse-momentum contact<br />

Point contact<br />

Friction <strong>for</strong>ces<br />

<strong>Contact</strong> in robot dynamics modelling<br />

Conclusions<br />

Hunt-Crossley contact<br />

N = kδ 3/2<br />

Two spheres:<br />

k =<br />

4<br />

3π(h m,1 +h m,2 ) ( R 1R 2<br />

R 1 +R 2<br />

) 1/2<br />

Sphere on plane:<br />

k =<br />

4<br />

3π(h m,1 +h m,2 ) R1/2<br />

Ri<br />

δ<br />

N<br />

δ<br />

h m,i = 1−ν2 i<br />

πE i<br />

Rj<br />

Mike Boos<br />

<strong>Contact</strong> <strong>Dynamics</strong> <strong>Modelling</strong> <strong>for</strong> <strong>Robots</strong>

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