Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing

Chaos, Solitons and Fractals

Volumn 26, Issue 1, 2005, Pages 47-66

  Harsha, S P ^a  

^a BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; DYNAMIC RESPONSE; FAST FOURIER TRANSFORMS; NATURAL FREQUENCIES; ROTORS; VIBRATIONS (MECHANICAL);

CARRIER FREQUENCY (VC); HERTZIAN CONTACTS; HOPF BIFURCATION; QUASI-PERIODIC RESPONSE;

ROLLER BEARINGS;

EID: 17644397382     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.12.014     Document Type: Article

References (29)

1. T. Yamamoto On the vibration of a shaft supported by bearing having radial clearances Trans. JSME 21 1955 182 192
2. S. Fukata, E.H. Gad, T. Kondou, T. Ayabe, and H. Tamura On the radial vibrations of ball bearings (computer simulation Bull. JSME 28 1985 899 904
3. B. Mevel, and J.L. Guyader Routes to chaos in ball bearings J. Sound Vib. 162 1993 471 487
4. A. Sankaravelu, S.T. Noah, and C.P. Burger Bifurcation and chaos in ball bearings AMD-Vol. 192/ASME DE 78 1994 313 325
5. W.B. Day Asymptotic expansions in nonlinear rotor dynamics Quart. Appl. Math. XLIV 1987 779 792
6. Y.B. Kim, and S.T. Noah Bifurcation analysis for a modified Jeffcott rotor with bearing clearances Nonlinear Dyn. 1 1990 221 241
7. Y.B. Kim, and S.T. Noah Quasi-periodic response and stability analysis for a nonlinear Jeffcott rotor J. Sound Vib. 190 1996 239 253
8. S.P. Harsha, K. Sandeep, and R. Prakash Effects of preload and number of balls on nonlinear dynamic behavior of ball bearing system Int. J. Nonlinear Sci. Numer. Simul. 4 3 2003 265 279
9. S.P. Harsha, K. Sandeep, and R. Prakash Nonlinear dynamic behaviors of rolling element bearings due to surface waviness J. Sound Vib. 272 3-5 2005 557 580
10. S.P. Harsha, K. Sandeep, and R. Prakash The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings Int. J. Mech. Sci. 47 4 2003 725 740
11. T.H. Hao Application of the Lagrange multiplier method the semi-inverse method to the search for generalized variational principle in quantum mechanics Int. J. Nonlinear Sci. Numer. Simul. 4 3 2003 311 312
12. J.H. He A classical variational model for micropolar elastodynamics Int. J. Nonlinear Sci. Numer. Simul. 1 2 2000 133 138
13. H.M. Liu Variational approach to nonlinear electrochemical system Int. J. Nonlinear Sci. Numer. Simul. 5 1 2004 95 96
14. J.H. He Variational theory for linear magneto-electro-elasticity Int. J. Nonlinear Sci. Numer. Simul. 2 4 2001 309 316
15. J.H. He Variational principle for nano thin film lubrication Int. J. Nonlinear Sci. Numer. Simul. 4 3 2003 313 314
16. J.H. He, H.M. Liu, and N. Pan Variational model for ionomeric polymer-metal composite Polymer 44 26 2003 8195 8199
17. J.H. He A family of variational principles for compressible rotational blade-to-blade flow using semi-inverse method Int. J. Turbo Jet Eng. 15 2 1998 95 100
18. J.H. He Variational principles for some nonlinear partial differential equations with variable coefficients Chaos, Solitons & Fractal 19 4 2004 847 851
19. P. Eschmann Ball and roller bearings-theory, design and application 1985 Wiley New York
20. J.H. He Modified Lindstedt-Poincaré methods for some strongly non-linear oscillations. Part I: Expansion of a constant Int. J. Nonlinear Mech. 37 2 2002 309 314
21. J.H. He Modified Lindstedt-Poincaré methods for some strongly non-linear oscillations. Part II: A new transformation Int. J. Nonlinear Mech. 37 2 2002 315 320
22. J.H. He Modified Lindsted-Poincaré methods for some strongly nonlinear oscillations. Part III: Double series expansion Int. J. Nonlinear Sci. Numer. Simul. 2 4 2001 317 320
23. J.H. He Variational iteration method for autonomous ordinary differential systems Appl. Math. Comput. 114 2-3 2000 115 123
24. V. Marinca An approximate solution for 1-D weakly nonlinear oscillations Int. J. Non-Linear Sci. Numer. Simul. 2 3 2002 107 120
25. Gh.E. Drǎgǎnescu, and V. Cǎpǎlnǎ şan Nonlinear relaxation phenomena in polycrystalline solids Int. J. Nonlinear Sci. Numer. Simul. 4 3 2004 219 226
26. J.H. He Homotopy perturbation method: a new nonlinear analytical technique Appl. Math. Comput. 135 1 2003 73 79
27. J.H. He A coupling method of a homotopy technique and a perturbation technique for non-linear problems Int. J. Nonlinear Mech. 1 2000 37 43
28. J.H. He Homotopy perturbation method: a new nonlinear analytical technique Appl. Math. Comput. 135 1 2003 73 79
29. J.H. He Book-keeping parameter in perturbation methods Int. J. Nonlinear Sci. Numer. Simul. 2 3 2001 257 264