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Using the Soft-Soil tire model

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<strong>Using</strong> <strong>the</strong> <strong>Soft</strong>-<strong>Soil</strong> <strong>tire</strong> <strong>model</strong><br />

Visco-elastic <strong>tire</strong>-soil contact<br />

15<br />

Figure 11<br />

Three element Maxwell <strong>model</strong> for a rigid wheel on visco-elastic soil<br />

For this <strong>model</strong> <strong>the</strong> normal stress in <strong>the</strong> contact in between <strong>tire</strong> and ground is:<br />

x <br />

<br />

A x <br />

G1<br />

2 2 G2VxTr<br />

V T <br />

( x ) ( xA<br />

x ) (<br />

xA<br />

VxTr<br />

) 1<br />

e<br />

x r<br />

xA<br />

2R0<br />

R0<br />

<br />

<br />

<br />

x<br />

<br />

(29)<br />

With<br />

x<br />

a<br />

R<br />

0<br />

)<br />

sin( <br />

f<br />

)<br />

x<br />

R<br />

sin( <br />

0<br />

2<br />

T r /<br />

G<br />

In which<br />

T r is <strong>the</strong> relaxation time<br />

<br />

is <strong>the</strong> viscosity of <strong>the</strong> soil

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