Railway wheelset bending flexibility

Transcription

1 R VS UOMIO & IORMIO Rawa whs bg fxb RI MILU MĂĂLI UMIRIU RISI UORH MIR SBŞ parm of Rawa Vhcs Uvrs Pohca of Bchars Bchars Spa Ip MRORX BUURŞI ROMI bsrac: - hs papr vsgas h whs srcra fxb o h bg vbrao mos from a passgr coach. h ax s a as a form mosho bam. h whs bra scs a h ax boxs ar cosr as rg bos wh wo gr of from vrca spacm a agar moo. h qaos of moo ar sov for h sa sa harmoc bhavor va Gr s fco mho. h ara frqcs of h smmrc mos ar caca. Sarg from h fxb a wh vrss frqc h m-oma Gr s fco a wh s oba sg h moa chq a h orr rasform. hs fco s crca o sma wh/ra raco. -Wors: whs fxb mosho bam Gr s fco. Iroco h wh s s b far h mos mpora of a rawa vhc. I hps carrg h vhc gs h vhc rasfrs h oga forcs a obvos sppors h vhc a rog. h whss ar sg accorg o h srcr of h vhc. or sac a commo whs from a passgr coach cosss of wo whs rg coc o h ax ax boxs a wo-for bra scs. L a mchaca srcrs a whs has srcra fxb a ara frqcs. I s ow ha h whs srcra fxb has o b cosr h m- a hgh-frqc rags [-]. hr ar hr ma mhos s mog h whs srcra fxb ha ar bas o h mp mos [ 5] coos [6 7] a f m mos [ 9]. h amc bhavor of h whs hps o rsa ma probms rgarg h wh/ra raco [ ]. I hs papr sarg from a coos mo h whs srcra fxb o h bg vbrao mos s caca va Gr s fco mho. Probm ormao h whs mo s prs g.. ca o whs of a passgr coach havg bra scs s cosr. h mo of h whs cosss of a form mosho bam as h ax wh aach rg bos as h whs 7 h ax boxs a h bra scs 5 6. h spacms of h ax ar scrb b h com vcor q [ ] whr a ar h vrca spacm a h roao of h cross-sco a sa for m a rspcv h coora aog h ax. h paramrs of h ax ar: h Yog s mos h shar mos μ h s ρ h gh h mass pr gh m h cross-sco ara S h ara mom of ra I a h shar coffc κ. h bo s aach o h ax a h sac from h f of h ax a has h M mass a h J mass-mom ra. g.. Mchaca mo. ISS: ISB:

2 R VS UOMIO & IORMIO O prsms ha h whs s sbjc o wo harmoc ar forcs b a agar frqc oca a h sac f from h f of h ax. Obvos hs forcs ac o h wo whs. If h harmoc forcs ar phas ha h smmrc vbrao mos ar xc. Wh h phas ffrc bw h wo forcs s π w oba h asmmrc mos. ssmg h whs moo aro h qbrm poso a gcg h groscopc ffcs a h sac a amc mbaacs of h wh s h govrg qaos of moo ma b wr as foows q q δ P. whr q q s h com vcor whch coas h ax spacm h sco a P[P ] s h com vcor of h forcs whch ac o h whs P P cos wh P δ-f ± δ-f a δ. s h rac s a fco. h marx ffras a ar as foows κμs m κμs κμs I κμs ρi wr M J a. h boar coos fr-fr rqr ha h shar forc a h mom ar for boh s of h ax a ϕ ϕ. Probm Soo I hs sco w sov h qao of moo a h assoca boar coos prsmg h sa sa vbrao. ca h spacms of h bam sco hav h foowg form U cos Θ cos. Sbsg o ras. δ P [ ] whr [U Θ] κμs m κμs κμs I κμs ρi M. J O has o r ha ps o h agar frqc as w. h fcos U a Θ vrf h boar coos for a U Θ U pu p q U Θ Θ q 5 wh p ρ / a q ρ /. B mpg h qao wh h marx * J μsκ whr. * os h ajo marx I ρi κμs κμs J 6 m - κμs o obas ISS: ISB:

3 δ ag P J J 7 whr sas for h mosho s ffra opraor of h ax. ρ ρ S I m I I h soo of q. 7 ma b wr as foows: δ P J 9 whr ag vrfs h qao ag δ whr sas for h marx. I fac ach agoa compo s h Gr s fco of h opraor accorg o h propr boar coos. Basca h qao has h foowg soos sh cosh s cos whr ± a ± sasf h characrsc qao of h opraor rspcv ρ ρ I m μ wh < μsκ/ρi. h Gr s fco of h opraor s f b h foowg forms < < < < B whr a BB p o o; h pc o h agar frqc has b om. h Gr s fco a s frs rvas ar coos. 5 rhr o h h rva of h Gr fco has a sco I. 6 hs coos a o h x marx qao X Y 7 whr [ ] Y Y Y Y Y I X wh Y BB a. h prcg qao has h foowg soo W Y wh I W. fr som agbra h Gr s fco as h form R VS UOMIO & IORMIO ISS: ISB:

4 . σ W 9 I h gh of h prcg cosraos h compos of h marx hav h sam form. h fcos rs from h boar coos as h soos of h foowg marx qao W whr a hav h xprssos corrspog o a : for p p q p q p for q q. ag f f b f a J whr S I a ρ a S I b a δ - J wh a b p h soo of q. 9 co b wr as. 5 Sg wh o obas 6 whr a. I rss [ ] [ ] V 7 whr ] [ j j V V j j j V. V ow srg a 5 w oba a fa h whs fxb or rcpac α U P. x h rss from a mrca appcao ar prs. h paramrs for h whs ar chos as foows: m 57 g/m. m S. m h ax amr of.6 m GPa μ GPa ρ 75 g/m κ.9 M g J gm h ax boxs M 7 g J 7 gm h whs M 56 7 g J 56 gm h bra scs.5 m.65 m.95 - f.5 m a f.5 m. R VS UOMIO & IORMIO ISS: ISB:

5 R VS UOMIO & IORMIO h M M xp ζ s whr - ζ / agar frqc. s h amp ara g.. Rcpac a wh o smmrc mos. gr spas h rcpac a wh for h smmrc mos. s ca s h wh rcpac has a sccsso of h a-rsoac a rsoac frqcs. or sac h frs fv arsoac frqcs of 6 7 a Hz a h corrspog rsoac frqcs of a 99 Hz hav b caca. Sarg from h rcpac a wh w ca arrv o h Gr s fco for m oma aass. hs fco ma b s oghr wh h Gr s rac marx orr o sma h wh/ra raco []. ccorg o h moa aass a rag h frs vbrao mos h rcpac a wh has h rca shap H 9 M M whr s h rsoac agar frqc M s moa mass a M s h ow haf-mass of h whs. Sarg from h a-rsoac agar frqcs a whch ma b xrac from h rcpac agram h moa masss ma b caca. I fac h foowg ssm has o b sov X a a a h M M/X. ow h ampg ma b a H M M ζ whr ζ s h moa ampg facor a -. a h m-oma Gr s fco of h wh s oba appg h rvrs orr rasform va h coor gra ocso I hs papr h ao s pa o h probm of h whs srcra fxb. h whs mo cosss of a form mosho bam wh aach rg bos as h whs ax-boxs a bra scs. h rcpac fxb a wh s caca sg h Gr s fco of h ffra opraor of h mosho bam. so h m oma Gr s fco a wh s oba va h orr rasform. hs as fco ca b app o sov h probms of h wh/ra raco. cowgm h ahors wo o xprss hr scr has o Profssor Vaa ma Băaş Uvrs r Vac ra for coragm a sppor. hs wor s sppor b h UR h aoa Uvrs Rsarch oc r projc 699: Rsarchs o h wh/ra paramrc vbraos sg h rac s Gr marx mho. Rfrcs: []. Popp H. rs I. asr Vhc-rac amcs h M-Rag Vhc Ssm amcs 999 pp. -6. []. haar Whs Srcra xb a rac xb Vhc-rac amc Iraco ocora hss Roa Is of choog Sochom Sw 7. [] B. Rp. oh Smao of Hgh- rqc Vhc-rac Iracos Vhc Ssm amcs Sppm 995 pp [] B. Mors argm of O-of-Ro Wh Profs o Hgh Sp ras Jora of So a Vbrao pp [5] I. obor. Bf L. a O Sf-xc Vbrao sc-bra Rg Gars h Iraoa ofrc o Rawa Bogs a Rg Gars Baps - Sp. 99. [6]. Szoc Mm rqc amc ass of Varos sgs of h Hgh-Sp Rawa ISS: ISB:

6 R VS UOMIO & IORMIO Bogs Is of ama choogca Rsarch Posh cam of Sccs Warsaw ovmbr. [7] M. Mwr Pogoazao of Rawa Whs rchv of pp Mchacs pp. 5-. [] U. gbrg Mo of Wh-Ra Sqag os Jora of So a Vbrao 99 pp [9]. Mrs Mog of a Rawa Whs as a Roag asc Mbo Ssm Mach amc Probms 99 pp [] X. hao. L. sv R. ovo h ffcs of h aga raco o Wh-ra amc oac. WSS rasacos o pp a horca Mchacs : [] r. Maz Wh/Ra Vbraos Romaa MarxRom Bchars. ISS: ISB: