Dynamic Stability Analysis of Cylindrical Grinding Machine under Self Excited Chatter Vibration

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1 184177!" ,%, 0 )140(/ 0+),. * )'(%& ' & % #!" $ #!" ' & % #!" $ #!"( ' & % #!" $ #!" /( *.( " 6<;9!( * (1+17 6(,,,9*( :!0(, " :;! $8 9! *7! 60)1 4 /,. + )" * ; +( / B0C! 0)1 *? +.( *7!. + '! * >! (<!/ 7! %! G B0C F +/.! (, /( :;!$8 9!! D? 6&"M * K! M 68 J. ANSYS &$L * K! J. C /" $ IC. B( <H /" $ ' I!. /* +( G PQ!.! (? J. "O ( LM H /.&$L L*N/&$4!! 6K /( 9 :;! K ' *7! SH '! "R / ( " *7! C8 %! U T R 6(<'& M D* LM ".! ( LM.! ( 7!G B0C * :'= = Dynamic Stability Analysis of Cylindrical Grinding Machine under Self Excited Chatter Vibration M. Mahboubkhah Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran R. Barzegar Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran M. M. Ettefagh Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran Abstract Dimensional accuracy and good surface finish in workpieces are the most important targets of finishing operations, such as grinding machining. The chatter in machining operation is one of drawbacks that restricts the quality of surface finish as well as accuracy. In this paper, dynamic stability analysis of the cylindrical grinding machine was conducted using theoretical and experimental modeling. For this purpose, modal analysis of the cylindrical grinding machine tool was performed to obtain natural frequencies and mode shapes of the machine in its frequency range using Ansys software as well as experimental method by appropriate hardware and software. Subsequently, their results were compared with together. Then, the dynamic model of grinding machine through modeling of the cutting tool operation was proposed and consequently, the stability diagram of the machine tool, showing the safe and stable region of machining operations was obtained. At last, the chatter vibration was measured in both stable and unstable regions of proposed diagram and accuracy of the stability diagram was verified. Keywords: Chatter, Modal Analysis, Cylindrical Grinding Machine, Stability Diagram. ( ^ 4` ( *$J. B9 W0T R :;! ^ _1 ( / ^.(., M / ^ ( / J! 8 ( <;9 & J! / /a c ( ( ( $` / /a + B)C $ b I*T * W* ( LM 6??C. /* 6(< /. $ / /.*!( * #A! /! * 6(< G /*!( /( [1] # D$ * /A _C '% *.( * < '1 Z / 6 ^ ".( +!. V / 1! 4` 6 ^ []!h g! /( /. $ Z / / /A WK "R! ( \ $ " /A.! ( /X@ " ( / WK ^! Y ). ( /.? 1 '& + N '!. /.&+( * + /( /. $.( T H,! 9.( S?C / '& D&$ W0!. " / '& C B1 /( /")! ' & * '1 C / % I 0 &+( ' [&! # C, Z< 1 *.( X@ Y ]K J! ' * 8, K! Z \ 1 '(! ^ W /. * 6(< M B1.$ & Z< _1. +.( M / '*.(., R <;9 :;! ' M ( <;9 ( M R :;! 8 / /< W0T * mahboobkhah@tabrizu.ac.ir :

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[Tlusty J., Polacek M., The stability of machine tool against self excited vibration machining, proceedings Int. in Prod. En

, Nee A.Y.C., Tool wear and chatter detection using the coherence function of two crossed accelerations, International Journal of Machine Tools and Manufacture 7 (4),4 4, 1997. [] Garitaonandia I.

[6] Liu ZH., Payre G., Stability analysis of doubly regenerative cylindrical grinding process, Journal of Sound and Vibration 01, 90 96, 007. [7] Kabini S.K., Ikua B., WNy

8 [Tlusty J., Polacek M., The stability of machine tool against self excited vibration machining, proceedings Int. in Prod. Eng.Pittsdurg, 196. [] Baker J.R., Rouch K.E., Use of finite element structural models in analyzing machine tool chatter, Finite Elements in Analysis and Design 8, , 00. [4] Li X.Q., Wong Y.S., Nee A.Y.C., Tool wear and chatter detection using the coherence function of two crossed accelerations, International Journal of Machine Tools and Manufacture 7 (4),4 4, [] Garitaonandia I., Fernandes J., Albizur M.H. i, Herna ndez J.M., Barrenetxea D., A new perspective on the stability study of centerless grinding process, International Journal of Machine Tools & Manufacture, 009. [6] Liu ZH., Payre G., Stability analysis of doubly regenerative cylindrical grinding process, Journal of Sound and Vibration 01, 90 96, 007. [7] Kabini S.K., Ikua B., WNyakoe G.N., Dynamic Modeling of Chatter Vibration in Cylindrical Plunge Grinding Process, Innovative Systems Design and Engineering, Vol, No 4,011. [8] Gonzalez B., Rubio O., Jauregui E., Herrera R., Chattering detection in cylindrical grinding processes using the wavelet transform, International Journal of Machine Tools & Manufacture 46, , 006. [9] lnasaki I., Karpuschewski B. H., Lee S., Grinding Chatter Origin and Suppression. [10] Drew, Mannan K.L., Ong M.A., Stone B.J., The measurement of forces in grinding in the presence of Vibration, International Journal of Machine Tools & Manufacture 41, 09 0, 001. [11]Ewins D. J., Modal Testing: Practice and Application, Second Edition, Research studies press LTD, 000. [1] CATIA Theory Manual [1] Ansys Documentations & Help V1.0 & V1.0. 9,0 /A0 bc 9 '( ()1 A?1 D... 7! +( / & 9,0 /A0( & /)9 (, 9 T=,I14 D ', C6 G 7! +( / S?C + /. *7! Z $ /* * K! KU0 * K!.!! M D* * B8T Z 60)1 6)F * ; ( %! / l4 (., * 6(< x 7! +( ' /.. LM Z< ' T *7! 60)1 6)F &R &$L " +( * /<! G F + <;9 %! <H /" $ ( B0C ANSYS C B0C * B8T /. +(.!! D* G M D* <H /.P $ T C &R /. S H + * ( LM +( *! / / 9 ' * Z 60)1 /* 6N< * M J! / " 4!! /! / /X@C8 "R PQ!.! ( W ( LM <;9 / (< M D* +x *7! %! / C8! 6(<.! ) V <; a(, 7 [1] Tobias F., Fishwick W., Theory of regenerative machine tool chatter, The Engineer, Vol.0, London, p.199,

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