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Theinfluenceofballastlongitudinalresistance...
9
displacementsoftransverserailcross-sections,ofmaximumvaluesfromu
0
,
i
−to
1
u
0
,
i
+.Thelongitudinaltrackdisplacementsinturninducethehorizontalreaction
4
ofballastr(u)tothedegreeallowedbythevalueofu.Forthedescriptionof
functionr(u)severalmodelsshowninFig.4havebeenused.
Consideringe.g.theinfluenceofforce
∆
N
ti
=
N
ti
−
N
ti
,
−
1
=
E
S
⋅⋅
A
α
t
⋅
(
∆
t
i
−
∆
t
i
−
1
)
,
onthebehaviourofthetrack,assuming
r=
r
g
(modelfromFig.4a),weobtain
[2,3,10]
u
=
2
⋅
E
r
g
S
⋅
A
⋅
x
2
−
2
⋅
∆
E
N
S
ti
⋅
A
⋅+
x
8
⋅
E
∆
S
N
⋅⋅
2
Ar
ti
g
,
N
td
=⋅−
r
g
x
∆
N
2
ti
,l
w
=
2
∆
N
⋅
r
ti
g
.
(3.1)
(3.2)
ThecalculationschematicsandtheapproximatecourseofuandNtd
functionsinlocalco-ordinatesareshowninFigs.5and6.
Fig.5.Calculationsketch
x
Fig.6.DiagramsoffunctionsuandNtd
N
td
u
w
max
0
u,N
0,5
td
u
.
w
N
td
