EFFECT OF TEMPERATURE ON NON-LINEAR DYNAMICAL PROPERTY OF STUFFER BOX CRIMPING AND BUBBLE ELECTROSPINNING

Transcription

1 Hng, J.-X., e l.: Effec of empee on Nonline ynmicl Popey... HERM SCIENCE: Ye, Vol. 8, No. 3, pp Open fom EFFEC OF EMPERURE ON NON-INER YNMIC PROPERY OF SUFFER BOX CRIMPING N BUBBE EECROSPINNING by Jin-Xin HUNG, Hi-Feng I d, Min-Feng SONG, Ro-Xi CHEN c,d, Ping WNG c,d,*, nd Ji-Hn HE c,d* Nnong Celllose Fibes Co. d, Nnong, Chin b Chin obcco Zhenjing Indsil Co. d., Zhenjing, Chin c Nionl Engineeing booy fo Moden Silk, College of eile nd Engineeing, Soocho Univesiy, Szho, Chin d Nnong eile Insie, Soocho Univesiy, Nnong, Chin Sho ppe OI:.98/SCI33H he velociy of illy moving slende fibe of viscoelsic flid is n impon fco in mss-podcion of cimped fibes in sffe bo cimping nd bbble elecospinning. govening eqion fo fibe cimp is obined by he Hmilon's pinciple, nd he nl feqency nd ciicl illy moving velociy e obined nlyiclly by consideing he heml effec. I is conclded h high empee gdien cn gely enhnce he podcion io nd gnee he fndmenl nsvese vibion. ddiionlly he effecs of he ensile il lod nd mplide on nsvese vibion e lso elcided. Key ods: illy moving fibe, nl feqency, mode shpe, viionl pinciple, cimped fibe Inodcion Cimped fibes, especilly cimped nnofibes, hve mny poenil pplicions in i filion, e filion, diion poecion, fel cell, nd mny ohes de o high sfce-o-volme io. he sffe bo cimping [] (fig. ) is idely sed fo fbicion of cimped fibes ih dimees lge hn micomee (fig. ), nd he bbble elecospinning [, 3] (fig. 3) is sed fo podcion of cimped nnofibes ih dimees less hn nnomees (fig. ) [, 5]. Fige. Cimping mechnism in he sffe bo * Coesponding hos; e-mil: hejihn@sd.ed.cn, pingng@sd.ed.cn

2 Hng, J.-X., e l.: Effec of empee on Nonline ynmicl Popey... 5 HERM SCIENCE: Ye, Vol. 8, No. 3, pp Fige. Mophology of cimped fibes Fige 3. Cimping mechnism in he bbble elecospinning he mechnism of fibe cimp is de o he nsvese vibion of n illy moving slende fibe of viscoelsic flid befoe solidificion, in his ppe e ill sdy he heml effec on nsvese vibion. Govening eqion In his ppe e ill se he Hmilon's pinciple o deive he govening [6]: Fige. Mophology of P/MF cimped nnofibes by bbble elecospinning be ien in he fom [7]: ( dk du) d () hee K is he kineic enegy of he moving fibe, U he ol poenil enegy, nd he lengh of he fibe. he kineic enegy of he moving fibe cn K d () hee is he nsvese displcemen, secion e, / meil deivive of he nsvese displcemen, defined s: (3) hee is he velociy of he moving fibe. Eqion () cn be ien in n eqivlen fom: K d ()

3 he poenil enegy consies he folloing hee ps. () Wok done by he compessive nd ensile il lods: U N e d (5) hee N cn be epessed s: N=F P (6) hee F is he liqid fibe's ension pe e nd P he flid pesse. ccoding o Benolli eqion, he flid pesse cn be ppoimely ien in he fom: P B ( ) (7) he non-line sin eds [8] : e (8) hee is consn nd he empee gdien. () Poenil enegy U E ( ) e d (9) (3) Bending enegy U EI 3 d () he ol poenil enegy fo he moving fibe is: U N E EI e e ( ) d () o U N E EI d () Using eq. (), nd consideing he folloing elion: d d K d = d d d d d (3) e cn obin he folloing govening eqion: N E EI () Hng, J.-X., e l.: Effec of empee on Nonline ynmicl Popey... HERM SCIENCE: Ye, Vol. 8, No. 3, pp

4 Hng, J.-X., e l.: Effec of empee on Nonline ynmicl Popey... 5 HERM SCIENCE: Ye, Vol. 8, No. 3, pp o N 3E E EI (5) Ciicl velociy of he illy moving slende fibe he velociy of he illy moving slende fibe plys key ole in mss-podcion of cimped fibes. highe velociy is mch needed fo highe podcion io, hoeve n incese of migh esl in no nsvese vibion, s esl, no cimped fibes cn be podced. heefoe, i is necessy o pick o he min fcos ffecing he ciicl velociy of he illy moving slende fibe. he solion of eq. (5) cn be pesened in he fom: (, ) =W()cos (6) hee W is he noml fncion nd he nl feqency. Sbsiing eq. (6) ino eq. (5) esls in : ( Wcos Wsin Wcos ) NWcos 3EW Wcos 3 E Wcos EIW () cos (7) Using he Glekin echnology, e obin he folloing diffeenil eqion fo he mode shpe of vibion: 9 W W NW EW W E W EIW ( iv ) (8) he epession of he noml fncion is ssmed o hve he fom: W m sin p (9) nd eq. (8) becomes: p m N E p p sin ( ) m sin 9 E3 3 p EI p p m sin m sin () Using he Glekin echnology, nd ignoing highe hmonic em, e hve he folloing fndmenl feqency of vibion: p 7 p ( N E ) E EI m () 6 he fndmenl feqency is: p 7 p ( N E ) E m EI () 6 Condiion of sbiliy is: ( p 7 N E ) E p m EI (3) 6

5 Hng, J.-X., e l.: Effec of empee on Nonline ynmicl Popey... HERM SCIENCE: Ye, Vol. 8, No. 3, pp By eqs.(6) nd (7), e hve: N F B () nd he fis ciicl velociy: F B E 7 E p m EI 6 p (5) belo hich he fndmenl nsvese vibion occs. iscssion nd conclsion Fom eq. (5), i is obvios h high empee gdien cn gely impove he podcion io nd gnee he fndmenl nsvese fo fbicion of vibion fo cimped fibes. Fhemoe high empee gdien ding he spinning pocess cn enhnce solidificion de o solven evpoion. high ensile il lod nd lge mplide of he cimped fibe e lso o effecive fcos o impove he podcion io. In his ppe govening eqion fo fibe cimp consideing he heml effec is obined, nd he fis feqency nd fis ciicl velociy of he moving fibe e obined nlyiclly, hich cn be sed fo conolling he spinning pocess. cknoledgmens he ok is sppoed by Pioiy cdemic Pogm evelopmen of Jings Highe Edcion Insiions (PP), Nionl Nl Science Fondion of Chin nde gn No. 375 nd Pojec fo Si Kinds of op lens in Jings Povince nde gn No. ZBZZ-35, Science & echnology Pill Pogm of Jings Povince nde gn No. BE37. Refeences [] Singh, R. K., Voh, J. N., Sdy of Pocess Mechnics nd Yn Chceisics Using Fbiced Sffe-Bo Cimpe, e. Res. J., 6 (976), 3, pp. 6-7 [] He, J.-H., Effec on empee on Sfce ension of Bbble nd Hiechicl Rped Bbbles fo Nnofibe Fbicion, heml Science, 6 (),, pp [3] o, H., e l., Blon Bbble Spinning fo Fbicion of Spefine Fibes, heml Science, 6 (976), 5, pp [] He, J.-H., e l., Revie of Fibe Mophology Obined by Bbble Elecospinning nd Blon Bbble Spinning, heml Science, 6 (), 5, pp [5] Chen, R. X., e l., Mechnism of Nnofibe Cimp, heml Science, 7 (3), 5, pp [6] Wshiz, K., Viionl Mehods in Elsiciy nd Plsiciy, Pegmon Pess, Ofod, UK, 98 [7] Knovsky, I.., ebed, O. I., Non-Clssicl Vibions of ches nd Bems, McG-Hill, Ne Yok, US, [8] Ghyesh, M. H., Khdem, S. E., Roy Inei nd empee Effecs on Non-ine Vibion, Sedy-Se Response nd Sbiliy of n illy Moving Bem ih ime-ependen Velociy, Inenionl Jonl of Mechnicl Sciences, 5 (8), 3, pp Ppe sbmied: Feby 3, 3 Ppe evised: Feby, 3 Ppe cceped: Feby, 3