2 23 [ 21 ] [ ] [ 31 ] [ 32 ] ; Ferm er N ielsen [ 52 ] [ 2 9 ] 1995 R ipke Kno the [ 53 ] [ 3 ] g [ 33 ] [ 34 ] O scarsson D ah lberg [

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1 2 3 2 V o l123 N o CH INA RA ILW A Y SC IEN CE A p ril (2002) ( ) 10 ; ; ; ; ; ; ; U A 1 [ 16 ] 200 km [ 17 ] [ 18 ] [ ] [ 21 ] [ 1 ] 1992 [ 22 ] T im o shenko [ 2 ] D erby [ 3 8 ] 1995 [ 23 ] 1997 [ 9 ] Kno the [ 24 ] g [ 25 ] [ 10 ] [ 26 ] [ ] ( ) [ 27 ] [ 28 ] (1963 ) ; ( ) ; ( ) 2002

2 2 23 [ 21 ] [ ] [ 31 ] [ 32 ] ; Ferm er N ielsen [ 52 ] [ 2 9 ] 1995 R ipke Kno the [ 53 ] [ 3 ] g [ 33 ] [ 34 ] O scarsson D ah lberg [ 54 ] g g [ 35 ] [3 ] R ayleigh2t im o shenko ( ) 10% ; F roh ling [ 36 ] [ 55 ] ( ) ; A uersch [ 56 ] g [ 37 ] [ 38 ] Popp [ 57 ] [ 39 ] 50 H z 500 H z ; A nders2 son [ 58 ] g [ 40 ] g [ 41 ] ( ) ( [ 42 ] [ 20 ] [ 43 ] ) [ 44 ] ; D rozdziel [ 59 ] 10 ( ) ; Gu2 ( ) ru le W ilson [ 60 ] [ ] NU CA R S 10 g O scarsson [ 61 ] ( ) [ ] ; D ietz [ 62 ] D iana [ 51 ] 13

3 2 3 ( ) ; ( ) [ 63 Szo lc ] ( ) A [ 2 ] 2 [ 67 ] ; [ 64 ] [ 10 ] K c ( ) ; [ 10 ] ; Eu ler 2 ; ; ( ) [ 65 Kalker ] 2 [10 ] H edrick2e lk in s [ 66 ]

4 4 23 ; [10 ] [ 69 ] [ 70 3 ] [9 ] g ( [ ] ) (a) (b) 3 [ 71 ] [ 4 (a) ] [ 4 (b) ] S (f ) = A (f 2 + B f + C ) f 4 + D f 3 + E f 2 + F f + G mm 2 gm - 1 (1) A B C D E F G [ 71 ] [ 72 ] 7 m 30 m 1 m 7 m

2 5 ( IFFT ) 213 5 ; ; ( ) ( ) ( ) ( ) [ 76 ] 6 Α

5 2 5 ( IFFT ) ; ; ( ) ( ) ( ) ( ) [ 76 ] 6 Α [ ] 2tanΑ( le - lb) K b = E ln le b (2) (lb + 2h b tanα) g lb ( le + 2h b tanα) E b gn m - 2 ; h b gm ; le gm ; [ 73 ] [ 74 ] lb gm [ 75 ]

6 23 K f = E f (le + 2h b tanα) (lb + 2h btanα) (3) E f K 30 gpa m - 1 V b = h b lelb + h b tan (le + lb) + 4 3 h b 2 tan 2 Α (4) M b = ΘbV b (5) Θb gkg m - 3 7 21 214 8 T

6 6 23 K f = E f (le + 2h b tanα) (lb + 2h btanα) (3) E f K 30 gpa m - 1 V b = h b lelb + h b tan (le + lb) h b 2 tan 2 Α (4) M b = ΘbV b (5) Θb gkg m T T IS IM V ICT [ 77 ] [ ] [11 13 ] T T IS IM [ 10 ] T T IS IM (1) 8 (2) ( ) 215 (3) ( ) (4) T T IS IM [ 79 ] [ 79 ] ADAM Sgrail S IM PA CK V ICT [ ]

7 2 7 2 (1) 1 H z 2 H z (2) 1 H z 1 ( 3) 3 H z 5 H z 15 H z 25 H z 35 H z 60 H z 120 H z (4) 10 H z ; 3 1 H z 80 H z 300 H z 2 ( 5) (6) 60 H z 140 H z 40 H z 100 H z 200 H z 400 H z 312 (7) 45 H z 130 H z ( ) [ 10 ] [10 80 ] K K m m [ ] 100 m 100 mm 120 km h km h [10 ] 1994 [ 10 ] 160 km h - 1 [ 82 ] 1 V ICT 1 ( 9) 9 20 kn [ 14 ] g g Κ= 10 m a= 10 mm Κ= 12 m a= 9 mm Κ= 12 m a= 9 mm Κ= 24 m a= 16 mm Κ= 24 m a= 20 mm 160 km h km h km h km h km h g g g km g 25 kn

8 C 62 SY R 250 m 78 km h kn 12 [10 ] (a) 250 m 287 m 60 m ( [ 10 ]) 78 km h mm [10 ] 12 (b) AA R 53 kn C

9 2 9 T T IS IM ( ) V ICT [ 41 ] mm [ 8 68 ] 200 km ( 1) [ 17 ] (2 3 ) 160 km h km h kg m mm 6 mm ( 2) 200 km 012 m 200 km h m 015 mm Κ 012 m 012 mm (1) 200 km h km h - 1 (3) 160 km h km 615 h - 1 (4) ( ) 140 km h km h - 1 (2) 160 km h km h - 1 ; 200 km h - 1 ; 200 km h km

10 10 23 h m 212 m ( 3) 160 km h km 250 km 212 m ; ( 3) 200 km h km h km h - 1 (4) 13 m 200 km h m 200 km h % 13 m 18 m ( ) ; ( ) [ 83 ] ; ( ( ) ) [ 45 ] ; [ 84 ] ( ) ( ) [ 46 ] ; ( ) [ 20 ] [85 ] ( k ) ( 200 km 250 km ) (1) 200 km h km h m ( 212 m ) Q P Q gp (2) 300 km h - 1 Q 110 (t t0) P 1125 m s t0 212 m t (t < (6) t0 )

11 2 11 t (s) ; t0 Κ(110) (1) ( s) t0= s ( 2) 1 gp ϖ P P 0160 ( ) P (7) P > 0160 t < t0 (3) t Γ(0160) gs; (4) t0 g gs t0= s GB ( 5) ( 85 ) (6) 5 10 ( ) (7) [ 1 ]. [D ] [ 2 ]. [J ] (3) [ 3 ] ZhaiW anm ing Sun X iang. A D etailed M odel fo r Investigating V ertical Interaction betw een R ailw ay V eh icle and T rack [J ]. V eh icle System D ynam ics (Supp lem ent) [ 4 ] ZhaiW M Cai C B Guo S Z. Coup ling M odel of V ertical and L ateral V eh iclegtrack Interactions [J ]. V eh icle Sys2 tem D ynam ics (1) [ 5 ] ZhaiW Cai Z. D ynam ic Interaction betw een a L umped M ass V eh icle and a D iscretely Suppo rted Continuous R ail T rack [J ]. Computers (Structures (5) [ 6 ] Zhai W anm ing. W heelgrail D ynam ic Interactions on T urnouts [C ]. P roceedings of 12th International W heelset Congress Q ingdao Sep tem ber 1998 pp [ 7 ] ZhaiW M T rue H. V eh icle2track D ynam ics on a R amp and on the B ridge Sim ulation and M easurem ents [J ]. V e2 h icle System D ynam ics (Supp lem ent) [ 8 ] ZhaiW M Cai C B W ang Q C L u ZW andw u X S. D ynam ic Effects of V eh icles on T rack s in the case of R aising T rain Speed [J ]. Journal of R ail and R ap id T ransiṫ (F2) [ 9 ]. [M ] [10 ]. [M ] [11 ]. [J ] (2)

12 12 23 [12 ]. [J ] (3) [13 ]. [J ] (3) [14 ]. [J ] (1) [15 ]. [J ] (1) [16 ]. [J ] (3) [17 ]. [R ] [18 ]. [J ] (5) [19 ]. [J ] (6) [20 ]. [J ] (3) [ 21 ]. [J ] (3) [22 ]. TBD S [J ] (3). [23 ]. [J ] (1) [24 ] Kno the K Gro ss2t hebing A. [J ] (4) [25 ]. [J ] (3) [26 ]. [D ] [27 ]. [J ] (5) [28 ]. [J ] (5) [29 ]. [J ] (5) [30 ]. [J ] (6 7) 2 4. [31 ]. [J ] (1) [32 ]. [J ] (1) [33 ]. [D ] [34 ]. [D ] [35 ]. [J ] (7) 1 4. [36 ]. [J ] (6) [37 ]. [D ] [38 ]. [J ] (4) [39 ]. [J ] (2) [40 ]. g [J ] (3) [41 ]. [J ] (4) [ 42 ]. [D ] [43 ]. [D ] [44 ]. [D ] [45 ]. [R ] [46 ]. ( ) [R ] [47 ] Shen Z Y (Ed. ). P roceedings of 13th IAV SD Sympo sium on the D ynam ics of V eh icles on Roads and on T rack s [C ]. Sw ets & Zeitlinger Pub lishers L isse [ 48 ] Palkovics L (Ed. ). P roceedings of 15th IAV SD Sympo sium on the D ynam ics of V eh icles on Roads and on T rack s [C ]. Sw ets & Zeitlinger Pub lishers L isse [ 49 ] F roh ling R (Ed. ). P roceedings of 16th IAV SD Sympo sium on the D ynam ics of V eh icles on Roads and on T rack s [C ]. Sw ets & Zeitlinger Pub lishers L isse 2000.

13 2 13 [50 ] T rue H (Ed. ). P roceedings of 17th IAV SD Sympo sium on the D ynam ics of V eh icles on Roads and on T rack s [C ]. Sw ets & Zeitlinger Pub lishers L isse [51 ] D iana G Cheli F B runi S Co llina A. h icle System D ynam ics (Supp l. ) Interaction betw een R ailroad Superstructure and R ailw ay V eh icles [J ]. V e2 [52 ] Ferm er M N ielsen J C O. W heelgrail Contact Fo rces fo r F lexible V ersus So lid W heels due to T read Irregularities [J ]. V eh icle System D ynam ics (Supp l. ) [53 ] R ipke B Kno the K. Sim ulation of H igh F requency V eh icle2track Interactions [J ]. V eh icle System D ynam ics (Supp l. ) [ 54 ] O scarsson J D ah lberg T. D ynam ic T raingt rackgballast Interaction2computer M odels and Full2scale Experim ents [J ]. V eh icle System D ynam ics (Supp l. ) [ 55 ] F roh ling R D. L ow F requency D ynam ic V eh icle2track Interaction M odelling and Sim ulation [J ]. V eh icle System D ynam ics (Supp l. ) [56 ] A uersch L. V eh icle2track2interaction and So il D ynam ics [J ]. V eh icle System D ynam ics (Supp l. ) [ 57 ] Popp K K ruse H Kaiser İ V eh icle2track D ynam ics in the M id2frequency R ange [J ]. V eh icle System D ynam ics (526) [58 ] A ndersson C O scarsson J N ielsen J. D ynam ic T raingtrack Interaction Including State2dependent T rack P roperties and F lexible V eh icle Components [J ]. V eh icle System D ynam ics (Supp l. ) [59 ] D rozdziel J Sow insk ib Gro llw. T he Effect of R ailw ay V eh icle2track System Geom etric D eviation on its D ynam ics in the T urnout Zone [J ]. V eh icle System D ynam ics (Supp l. ) [60 ] Gurule S W ilson N. D ynam ics (Supp l. ) Sim ulation ofw heelgrail Interaction in T urnouts and Special T rack w o rk [J ]. V eh icle System [61 ] O scarsson J. D ynam ic T rain2track2ballast Interaction w ith U nevenly D istributed T rack P roperties [C ]. Sympo sium on D ynam ics of V eh icles on Roads and on T rack s L yngby D enm ark [62 ] D ietz S H ippm ann G Schupp G. cle System and F inite E lem ent T rack M odels [C ]. on T rack s L yngby D enm ark [ 63 ] Szo le T P io trow ske J N ago rsk i Z. 17th IAV SD Interaction of V eh icles and F lexible T rack s by Co2sim ulation of M ultibody V eh i2 17th IAV SD Sympo sium on D ynam ics of V eh icles on Roads and Sim ulation of V eh icle2track Interaction in the M edium F requency R ange w ith A pp lication to A nalysis of M echanical and T herm al L oading in Contact [C ]. of V eh icles on Roads and on T rack s L yngby D enm ark th IAV SD Sympo sium on D ynam ics [64 ]. [J ] (1) [65 ] Kalker J J. O n the Ro lling Contact of Tw o E lastic Bodies in the P resence of D ry friction [D ]. D elft U n iversity of T echno logy D elft N etherlands Ph. D. D issertation [ 66 ] Shen Z Y ( ) H edrick J K E lk ins J A. A Comparison of A lternative C reep Fo rce M odels fo r R ail V eh icle D ynam ic A nalysis [C ]. P roc. 8th IAV SD Sympo sium M IT Cam bridge [67 ]. [D ] [68 ]. [J ] (3) [69 ]. [J ] (1) [70 ]. g [J ] (2) [71 ]. [R ]. T Y [72 ]. [J ] (3) [73 ] O ntes R K Enoch son L. D igital T im e Series A nalysis [M ]. John W iley ( Sons Inc. N ew Yo rk [74 ] [ ].. [M ] [75 ]. [J ] (2)

14 ( ) [76 ] A h lbeck D R et al. T he D evelopm ent of A nalyticalm odels fo r R ailroad T rack D ynam ics [C ]. R ailroad T rack M e2 chanical & T echno logy Pergamon P ress [ 77 ]. [J ] (1) [ 78 ] Zhai W anm ing W ang Kaiw en Fu M aohai Yan Juanm ao. M inim izing D ynam ic Interaction betw een T rack and H eavy H aul F reigh t Cars [C ]. P roceedings of 5th International H eavy H aul R ailw ay Conference Beijing [79 ]. [J ] (2) [80 ]. g [J ] (3) [81 ]. [J ] (4) [82 ]. [R ]. T Y [83 ]. [R ] [84 ]. [R ]. T Y [85 ]. [J ] (2) New Advance in Veh icle- track Coupling D ynam ics ZHA IW an2m ing (T rain & T rack R esearch Institute Southw est J iao tong U niversity Chengdu Ch ina) Abstract V eh icle2track coup ling dynam ics is a new theo ry developed on the basis of the conven tional veh i2 cle dynam ics and track dynam icṡ a theo ry system w as fo rm ed. dynam ics is review ed. In the past decade great p rogress w as m ade in the theo retical study and In the paper the research h isto ry background of the veh icle2track coup ling T he research p rogress m ade at hom e and ab road is review ed. R ecen t research w o rk of the au tho r task fo rce is p resen ted in detail including the dynam ic m odels com puter sim u lation exper2 im en tal validation param eter iden tification and app lication ṡ R ecomm endation s are m ade fo r the fu tu re re2 search on the veh icle2track coup ling dynam icṡ Key words V eh icle; T rack; D ynam ics; W heelgrail in teraction; A pp lication; P rogress

24 2004 ;, 20,, [ 2 ],, 1985, ( ) GD P 5000 10000 CO 2,, 21 (2001-2020) 2, 50 60, 1949 5. 4 1972 8. 7, 2. 09% 20 70,, 1989 11, 1995 12, 2000 12. 6583,

24 2004 ;, 20,, [ 2 ],, 1985, ( ) GD P 5000 10000 CO 2,, 21 (2001-2020) 2, 50 60, 1949 5. 4 1972 8. 7, 2. 09% 20 70,, 1989 11, 1995 12, 2000 12. 6583, 2004 4 4 100026788 (2004) 0420023211 21 (2001-2020), (, 361005) 1985 2000, ;, GD P 5000-10000, 21 (2001-2020) ; ; C94 A T he Sim u lating R elating2pattern of Population Indu stry Structu re, Environm