Titel_SS06

(Brent) #1

the repetition number for the load. It is assumed that the loads in the time intervals are


identically distributed and random variables with a point in time probability distribution
function. This type of load modelling corresponds to a rectangular wave pulse


process. The pulses of the process may simply be interpreted as a vector of mutually


independent random variables.


ith
ni

FxXii()
ni

t

t

0

0

0

(^33)
(^32)
(^31)
T
x 3 (t)
x 2 (t)
x 1 (t)
t
Figure 7.5: Illustration of the Ferry Borges - Castanheta load process.
The distribution function for the maximum value of the load Xi in the reference period T is
then given by:
max Xi() ( ())
i
T i
n
FxFxiXi (7.30)
When combining the load processes X 12 ,XX,.., r, it is furthermore assumed that these are
mutually independent with integer repetition numbers : ni
nn n 12  ..i .. nr (7.31)
such that:



1
i for i 2,3,..,r
i
n Z
n^



? (7.32)

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