ROTOR SUPPORTED. J. Tůma, J. Škuta, R. Klečka VSB Technical University of Ostrava J. Šimek TECHLAB Praha

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1 9h CONFERENCE on Acive noise and vibaion conol mehods KRAKOW-ZAKOPANE, POLAND Ma 4-7, 9 A 3D MODEL OF THE RIGID ROTOR SUPPORTED BY JOURNAL BEARINGS J. Tůma, J. Ška, R. Klečka VSB Technical Univesi of Osava J. Šimek TECHLAB Paha

2 Co-ahos

3 Moivaion Jonal beaing acive conol o peven he oo flid indced vibaion GAČR Pojec /7/345

4 Oline Moivaion Sabilizaion sing an eleconic feedback Roo esponse modeling Tes sands Ping he es sand ino opeaion Tobleshooing Fis elevan esls Conclsion

5 Sabilizaion sing an eleconic feedback Poimi pobes Im() Beaing bshing Re() Jonal Im() W Re() Piezoacaos Load + + Roo ssem Poimi pobe Jonal posiion Piezoelecic acao Conolle dspace - + Se poin

6 Roo esponse modeling

7 Msznska model Sping and dampe ssem oaing a he angla feqenc λω Dependence of he oil film siffness and damping on cleaance Flid wedge Coodinaes ansfomaion o o ep j j ep j Flid foces acing on he oo F K D o o F K D o jd sifness damping e e Oil film 3 e e K K e D D 5 Diec Qadae

8 Coodinae ssem Poimi pobes Re() Jonal Im() Ω Im() Bshing Re() Piezoacao s bshing cene Y(Im) hosing cene (,), coodinaes of he beaing hosing cene (), () coodinaes of he jonal cene (), () coodinaes of he bshing cene X(Re) jonal cene Y(Im) jonal hosing bshing Ω X (Re) Flid foce F K D jd

9 Eqaion of moion in he Caesian Eqaion of moion in he Caesian coodinaes In he Caesian coodinaes he eqaion of moion akes he fom Msznska model: In he Caesian coodinaes he eqaion of moion akes he fom F F K D D K D D M M F F K D D K D D M M F K D D M Y damping F K D D M Y mass siffness diagonal mai anismmeical mai Non diagonal elemens depend on Non-diagonal elemens depend on oo oaional speed

10 Shaf inclinaions Y (Im) beaing beaing hosing (, ) hosing beaing hosing X(Re) ais oo gavi cene φ Im φ Re Ω shaf ais Le he angels φ Re and φ Im be combined ino he comple vaiable Φ j Re Im

11 Eqaion of moion, F F jd D K jd D K Flid foce Y X sin sin Im Re j l j l Φ Coodinae of he jonal ceneline in beaing and Φ l j l, Y X sin sin Im Re j l j l Φ Veloci of he jonal ceneline in beaing and, Im Re Im Re Φ Φ l j l l j l Eqaion of moion Φ F F Φ F F g jc l l A j m M M ep M... oo mass A... momen of ineia of he shaf abo is ais C... momen of ineia abo he ais, which is pependicla o he shaf ais pependicla o he shaf ais

12 Simlink model of he oo ssem s d/d Re Im Comple o Real-Imag Inegao Re s Inegao Im Re Im Real-Imag o Comple OMEGA 3 4 d/d 5 d/d MMR*^ Unbalance s Inegao In In O In3 Foce F In In O In3 Foce F F F L. Mag-Angle o Comple Add L /A i * C * OMEGA /M Gain d/d d/d Inegao 6 d/d d/d d/d d/d d/d Inegao 5 Add dfi/d Fi i*c Gain3 Gain Inegao 4 Inegao 3 -i*m*9.8 Saic foce In O In O In3 O3 In4 O4 Sbssem In In O In3 In4 O Sbssem -K- Gain4 4 RPM 3

13 Resls I Rigid oo wiho flwheel Beaing Beaing -4-4 Beaing Beaing.5.5 Y Y X X -4

14 Resls II Rigid oo wih flwheel Beaing Beaing -4-4 Beaing Beaing.5.5 Y Y X -4

15 Tes sands

16 Tes sands Dep of Mechanics Benl Nevada Rooki Dep of Conol ssem and insmenaion i TECHLAB Design

17 Tes sand of TECHLAB design Rigid be-pe oo of he 3/ mm diamee, sppoed b wo sliding jonal beaings Thee-phase indcion high speed diving moo of 5 W powe, 4 Hz, spplied b a feqenc conveo of 75 W.

18 Fleible oo wih a flwheel

19 Rigid be-pe pe oo of he 3/ mm diamee Rigid be-pe oo of he 3/ mm diamee Sleeve beaing hosing Beaing bshing Fleible membane copling

20 Locaion of piezoacaos and poimi pobes Piezoacaos

21 Tobleshooing micomee X + j * Y micomee micomee X + j * Y micomee Obi shapes afe ping he es sand ino opeaion (Dec 8) Eending beaing adial cleaance fom 5 μm o 45 μm (eginding) Bee compensaion of he shaf and moo misalignmen - no effec Unifomi of moo oaional speed - no o lile inflence Eos of poimi pobes de o he senso inefeence inflence less han μm Eos of poimi pobes pobabl de o he maeial magneic inhomogeni - significan impac, geae han μm

22 Fis elevan epeimenal esls

23 Sead-sae oaion a 4 RPM micon Oil pesse: ba : Hoizonal 4 6 Nominal Revolion [-] Beaing bshing fee micon Oil pesse: ba : Veical 4 6 Nominal Revolion [-] RMS of vibaion Hoizonal Veical Wiho oil,75,9 pesse Lbificaed oil pesse: ba Lbificaed oil pesse: ba 5,4,6 Lbificaed oil 7,46 5,5656 ef m icon RMS db/ Aospecm : bezoleje Ode [-] Hamonics of oaional feqenc f = Kf K =.486 Oil film insabili K = Unbalance & senso eo K =, 3, 4, Sensoeo

24 Poimi pobe signal componen snchonos wih oaions Signal Y is shifed b a qae of oaion micom mee RPM, 78 o 84 RPM, 5 samples 3 samples -5,,5, Nominal Revolion micom mee , 5,5, Nominal Revolion [-] micom mee RPM, 7 samples ,,5, Nominal Revolion X Y micom mee , 5,5, Nominal Revolion.486 componen No oil film fileed o insabili No oil film insabili No effec of mbalance Poimi pobe eo wiho he oaional feqenc componen μm.. 8 mv

25 Rn-p and coas down Beaing bshing fee Tachomee : RozbehDobeh_Tlak: RPM Hoizonal 3 Time [s] Log scale Veical Coecion of poimi pobe eo

26 Rn-p and coas down - con Linea scale Coecion of poimi pobe eo

27 Ode acking analsis Hoizonal Veical,, RMS micon,,,486 od od od 3 od 4 od 5 od RMS mico on,,,486 od od od 3 od 4 od 5 od,,, 4 6 8, RPM RPM X, Y signals wio coecion

28 Conclsion A 3D model was ceaed Effec of he oo ineia was analzed Boh he oo ends vibae independenl The es sand seems o be pofessional and enogh obs The es sand is slowl sep b sep p ino opeaion o flfill he p p p p iniial eqiemens

Today - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations

Today - Lecture 13. Today s lecture continue with rotations, torque, Note that chapters 11, 12, 13 all involve rotations Today - Lecue 13 Today s lecue coninue wih oaions, oque, Noe ha chapes 11, 1, 13 all inole oaions slide 1 eiew Roaions Chapes 11 & 1 Viewed fom aboe (+z) Roaional, o angula elociy, gies angenial elociy