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6
WłodzimierzAndrzejBednarek
ofcross-sectionofatrack(Fig.1)[3,13,15].Theresultantreaction,actingata
certaineccentricityrelativetotherailaxis,causestrackbendinginavertical
plane[2,3,14,15].
Fig.1.Characteristicsofballastlongitudinalresistancer(u)
Alongitudinalresistanceoftheballastinthetrackdependsaboveallon:
thekindandconditionofrailfasteningtothesleepers,typeandspacingofthe
sleepers,kind,quantityanddegreeoftheballastconsolidation.Theresistance
canalsobeinfluencedbytemperature,humidityandballastpollutionaswellas
trackmaintenance.
"
N"
N=
Nt,i-1
0
t,i
Ns
u
,
A
"
A
N"
=
N
"
trz
N"
t,i
N
"
td
-
t,i-1Nt,i-2
u"
N
r
t,i-1
-
Nt,i-1
r
>
0
C
N
<
t,i-2
N
0
u
t,i-1
0,i-1
0
r
N
t,i-1
N
Nt,i
2
t,i-1
u0,i
a
1
i
N
t
t,i
N
N
u0,i+1
a
4
t,i
i+1
t,i+1
3
Nt,i+1
envelopeoflongitudinalforcesinCWRtrack
m
5
Nt,i+1
r
Nt,i+2
u0,i+2
t
u=0
N
N
t,i+2
N
u
t,i+2
t,i+3
0,i+3
r
N
Nt,i+3
t,i+3
u
N
0,i+4
t
t,i+4
N
D
N
t,i+4
N
t0
t,i+4
"
r"
r
r
N=EA
N-
Ntrz
t0
s
jointresistance
N
B
u
s
.
s
B
.
N
t
t0
.
t
0
Fig.2.Schematicanalyticaldrawings
Ascanbeseeninthediagram,ballastresistance
r
()
u
depends(inanon-
linearway)onthermaldisplacementuofthetracktillcertaindisplacementlimit
