J. Peng
84
center, the torsion of highway pavement structure
caused by horizontal ground motion input should
be considered. For some
special highway pavement
structures, especially those with uneven mass distribu-
tion and located near the epicenter area,
the vertical
ground movement should be considered (Zhang and
Ali 2021). For longer road pavement structures, the
ground effects along the different lengths of the road
surface structure shall also be taken into account:
{
}
1
2
3
4
5
, , , ,
B
b b b b b
A R
=
=
(8)
Among them, if
b =
a
i
×
b
i
,
the degree of damage
to the road surface is in the state described in
V
m
, and
m ≤ 2, then it means that the road surface is seriously
damaged and cannot be used for a short time (Schultz
et al. 2018). Otherwise, the transportation
function of
the road surface shall be evaluated, for this reason,
the elements of type (8)
b shall be normalized, that is:
(
)
5
1
1,2,...5
j
j
i
i
w
b
b j
=
=
=
(9)
The weight matrix w = {
w
1
,
w
2
,
w
3
,
w
4
,
w
5
}, then
Q w V
=
(10)
The fuzzy number Q, which denotes the highway
pavement damage index,
is used to evaluate the
impact of earthquakes on its transportation function.
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