Chatter resistance of non-uniform turning bars with attached dynamic absorbers-Analytical approach

Journal of Sound and Vibration

Volumn 329, Issue 11, 2010, Pages 2029-2043

  Saffury, J ^a   Altus, E ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROACH; ANALYTICAL APPROXIMATION; ANALYTICAL RESULTS; DYNAMIC ABSORBER; DYNAMIC VIBRATION ABSORBER; ELASTIC BEAM; FREDHOLM INTEGRAL EQUATIONS; FREQUENCY RESPONSE FUNCTIONS; FUNCTIONAL PERTURBATION; HARMONIC VIBRATION; LAGRANGE; MASS DENSITIES; NONLINEAR ALGEBRAIC EQUATIONS; NONUNIFORM; REAL PART; REGENERATIVE CHATTERS; STIFFNESS DISTRIBUTIONS; SYSTEM OPTIMIZATIONS; TEST CASE; TOOL HOLDERS; VARIATION METHOD;

CUTTING TOOLS; FREQUENCY RESPONSE; OPTIMIZATION; PERTURBATION TECHNIQUES; STIFFNESS;

NONLINEAR EQUATIONS;

EID: 75749124971     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.12.015     Document Type: Article

References (35)

1. Snowdon J.C. Vibration and Shock in Damped Mechanical Systems (1968), Wiley, New York
2. Bergman L.A., and Nicholson J.W. Forced vibration of a damped combined linear system. Journal of Vibration, Acoustics, Stress, and Reliability in Design 107 (1985) 275-281
3. Nicholson J.W., and Bergman L.A. Free vibration of combined dynamical systems. Journal of Engineering Mechanics 112 (1986) 1-13
4. Ozguven H.N., and Candir B. Suppressing the first and second responses of beams by dynamic vibration absorbers. Journal of Sound and Vibration 111 (1986) 377-390
5. Manikanahally D.N., and Crocker M.J. Vibration absorbers for hysteretically damped mass-load beams. ASME Journal of Vibration and Acoustics 113 (1991) 116-122
6. Gúrgóze M. Alternative formulations of the characteristic equation of a Bernoulli-Euler beam to which several viscously damped spring-mass systems are attached in span. Journal of Sound and Vibration 223 (1999) 666-677
7. Wu J.S., Chen D.W., and Chou H.M. On the eigenvalues of a uniform cantilever beam carrying any number of spring-damper-mass systems. International Journal for Numerical Methods in Engineering 45 (1999) 1277-1295
8. Wu J.S., and Chen D.W. Dynamic analysis of a uniform cantilever beam carrying a number of elastically mounted point masses with dampers. Journal of Sound and Vibration 229 3 (2000) 549-578
9. Korenev B.G., and Reznikov L.M. Dynamic Vibration Absorbers (1993), Wiley, England
10. Wu J.J. Use of effective stiffness matrix for the free vibration analyses of a non-uniform cantilever beam carrying multiple two degree-of-freedom spring-damper-mass systems. Computers and Structures 81 (2003) 2319-2330
11. Nachum S., and Altus E. Natural frequencies and mode shapes of deterministic and stochastic non-homogeneous rods and beams. Journal of Sound and Vibration 302 4-5 (2007) 903-924
12. Altus E. Microstress estimate of stochastically heterogeneous structures by the Functional Perturbation Method: a one dimensional example. Probabilistic Engineering Mechanics 21 4 (2006) 434-441
13. J. Donies, L. Van Den Noortgate, Machining of Deep Holes without Chatter, Note Technique 10, Crif, Belgium 1974.
14. Arnold L. The mechanism of tool vibration in cutting of steel. Proceedings of the Institution of Mechanical Engineers 154 (1945) 261-276
15. Gurney J.P., and Tobias S.A. A graphical analysis of regenerative machine tool instability. Transaction ASME Journal of Engineering for Industry 84 (1962) 103-112
16. Tlusty J. A method of analysis of machine-tool stability. International Journal of Machine Design and Research 6 (1965) 5-14
17. Hanna N.H., and Tobias S.A. The nonlinear dynamic behavior of a machine tool structure. International Journal of Machine Tool Design and Research 9 3 (1969) 293-307
18. Deshpande N., and Fofana M.S. Nonlinear regenerative chatter in turning. Robotics and Computer Integrated Manufacturing 17 (2001) 107-112
19. Moon F.C. Dynamics and Chaos in Manufacturing Processes (1993), Wiley, England
20. Tlusty J. Manufacturing Process and Equipment (2000), Prentice-Hall, NJ
21. Moradi H., Bakhtiari-Nejad F., and Movahhedy M.R. Tuneable vibration absorder design to suppress vibrations: an application in boring manufacturing process. Journal of Sound and Vibration 318 (2008) 93-108
22. Den Hartog J.P. Mechanical Vibrations. fourth ed. (1956), McGraw-Hill, New York
23. Rivin E.I., and Kang H. Enhancement of dynamic stability of cantilever tooling structures. International Journal of Machine Tools and Manufacture 32 (1992) 539-561
24. Sims N.D. Vibration absorbers for chatter suppression: a new analytical tuning methodology. Journal of Sound and Vibration 301 (2007) 592-607
25. Liu J.K., and Rouch K.E. Optimal passive vibration control of cutting process stability in milling. Journal of Materials Processing Technology 28 1-2 (1991) 285-294
26. Tarng Y.S., Kao J.Y., and Lee E.C. Chatter suppression in turning operations with a tuned vibration absorber. Journal of Materials Processing Technology 105 1 (2000) 55-60
27. Saffury J., and Altus E. Optimized chatter resistance of viscoelastic turning bars. Journal of Sound and Vibration 324 (2009) 26-39
28. E.I. Rivin, Yu.E. Lapin, Cantilever tool Mandrel, US Patent No. 3,820,422 1974.
29. J. Tlusty, M. Polacek, The stability of the machine tool against self excited vibration in machining, Proceedings of the Production Engineering Research Conference on ASME, Pittsburgh, 1963.
30. Golbabai A., and Keramati B. Easy computational approach to solution of system of linear Fredholm integral equations. Chaos, Solitons and Fractals 38 (2008) 568-574
31. Atkinson K.E. The Numerical Solution of Integral Equations of the Second Kind (1997), Cambridge University Press, Cambridge
32. Wiercigroch M., and Krivtsov A.M. Frictional chatter in orthogonal metal cutting. Philosophical Transactions of the Royal Society of London A 359 (2001) 713-738
33. Warminski J., Litak G., Cartmell M.P., Khanin R., and Wiercigroch M. Approximate analytical solutions for primary chatter in the nonlinear metal cutting model. Journal of Sound and Vibration 259 4 (2003) 917-933
34. Nosyreva E.P., and Molinari A. Analysis of non-linear vibrations in metal cutting. International Journal of Mechanical Sciences 40 (1998) 735-748
35. Stépán G. Delay-differential equation models for machine tool chatter. In: Moon F.C. (Ed). Dynamics and Chaos in Manufacturing Processes (1998), Wiley 165-191