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Dynamic coefficients in impact mechanics

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where α<br />

1<br />

is the <strong>impact</strong> angle. The <strong>coefficients</strong> of the velocity restitution k and<br />

of the dynamic friction f can be calculated as<br />

| vn<br />

|<br />

2<br />

k = ,<br />

(16)<br />

| v |<br />

n<br />

1<br />

f<br />

| v v − |<br />

t<br />

= (17)<br />

+<br />

2 1<br />

.<br />

(1 k) | v |<br />

t<br />

n<br />

1<br />

The experimental data about the variation of the <strong>coefficients</strong> with the <strong>impact</strong><br />

velocity and angle are presented <strong>in</strong> Figs. 5, 6 and 7. For composite materials the<br />

coefficient of restitution decreases slightly when the <strong>impact</strong> angle <strong>in</strong>creases.<br />

Much lower rebound effect is observed when a more plastic material (steel) is<br />

0.935<br />

Restitution coefficient<br />

0.930<br />

0.925<br />

0.920<br />

0.915<br />

0.910<br />

0.905<br />

0.900<br />

0.895<br />

0.890<br />

W15<br />

C20S<br />

C20<br />

0.885<br />

0.880<br />

20 30 40 50 60 70 80 90<br />

Impact angle, deg<br />

(a)<br />

0.750<br />

Restitution coefficient<br />

0.700<br />

0.650<br />

0.600<br />

0.550<br />

0.500<br />

0.450<br />

0 10 20 30 40 50 60 70 80 90<br />

Impact angle, deg<br />

(b)<br />

Fig. 5. Coefficient of velocity restitution vs <strong>impact</strong> angle: (a) cermets; (b) steel.<br />

32

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