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Theinfluenceofballastlongitudinalresistance...
7
isreached.Abovethispoint,itassumesthelimitvalueof
r
g
anddoesnot
changedespiteafurtherincreaseindisplacementu(Fig.1).
a)
r
10
-3
.
MN/m
10
8
7
a
b
8
9
10
10
-3
.
m
r
14
12
10
8
6
4
2
0
10
1
-3
.
MN/m
2
3
4
5
6
7
c
d
8
9
10
K=0,77m
10
K=0,77m
-3
.
m
6
4
2
0
1
2
3
4
5
6
b)
Fig.3.Ballastlongitudinalresistance[8]
a)a–longitudinalresistanceatwoodensleeperspacingof65cm(22sleepersperspan)
b–longitudinalresistanceatwoodensleeperspacingof65cm(11sleepersperspan)
c–longitudinalresistanceatvariablewoodensleeperspacing(K-sleeperspacing)
d–longitudinalresistanceatvariablepre-stressedconcretesleeperspacing(K-spacing)
b)woodensleepers:1–consolidatedballast;2–tampedballast;3–supplementarymodel
ConsideringtheeffectofhorizontalCWRtrackdisplacementsoccurring
locally,duetonon-uniformrailtemperaturedistributiont,oneshouldtakeinto
accountthevariableballastresistanceoverthetracklengthandvariablethermal
conditions,occurringduringtracklaying.Theyaregenerallycharacterizedbya
variabletemperatureoftherailtosleeperfixingtP.Thetemperaturedifference
occurringwhilefixingintrackcross-sections∆ttt
=−,causesanonuniform
P
distributionoflongitudinalthermalforceN
t
=
E
S
⋅⋅
A
α
t
⋅
∆[11]inthereal
t
