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398 Multibody Systems Approach to Vehicle Dynamics<br />

Table 7.1 Time to complete lap of a marked 200 m diameter<br />

circle (seconds)<br />

Test 1 Test 2 Test 3 Test 4 Test 5<br />

Configuration A 21.38 21.71 21.57 21.61 21.50<br />

Configuration B 21.60 21.49 21.29 21.39 21.53<br />

Time to lap 200 m (seconds)<br />

21.90<br />

21.80<br />

21.70<br />

21.60<br />

21.50<br />

21.40<br />

21.30<br />

21.20<br />

21.10<br />

21.00<br />

20.90<br />

20.80<br />

Fig. 7.2<br />

A A A A A B B B B B<br />

Repeat Repeat Repeat Repeat Repeat Repeat Repeat Repeat Repeat Repeat<br />

1 2 3 4 5 1 2 3 4 5<br />

Raw data from steady state test with error bars<br />

Table 7.2<br />

Statistical summary of test data<br />

Mean<br />

Population standard<br />

deviation<br />

Configuration A 0.866g 0.010g<br />

Configuration B 0.874g 0.010g<br />

Difference A B 0.008g<br />

particularly in intermediate configurations before matters are finalized and<br />

particularly if the tyres themselves are prototype items.<br />

If these measurements are manipulated into lateral acceleration figures<br />

using the simple relationship<br />

A<br />

y<br />

<br />

(200 / t) 2<br />

100<br />

(7.1)<br />

then treated as the results that might be obtained from a production process<br />

and manipulated accordingly, the results in Table 7.2 emerge.<br />

It is clear that the extrapolation to a population from only five samples is<br />

somewhat poor practice. However, it is equally clear that the difference<br />

between the two configurations is significantly less than the spread of the<br />

distribution of the tests. In statistical process control, a process is regarded<br />

as ‘capable’ if six times the standard deviation (so-called ‘6’) is less than<br />

75% of the tolerance on the measured attribute. For the measurement processes<br />

above, the ‘capability’ is no less than 6 0.01 4/3 0.08g – 10 times

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