Dynamic analysis of a flexible linkage mechanism with cracks and clearance

Mechanism and Machine Theory

Volumn 45, Issue 12, 2010, Pages 1909-1923

  Dupac, Mihai ^a   Beale, David G ^b  

^a BOURNEMOUTH UNIVERSITY   (United Kingdom)

^b AUBURN UNIVERSITY   (United States)

Author keywords

Clearance; Dynamics; Impact; Planar mechanism; Vibration

Indexed keywords

CLEARANCE; DYNAMIC PERFORMANCE; DYNAMICAL BEHAVIORS; FLEXIBLE LINKAGE MECHANISMS; IMPACT; KINEMATIC COEFFICIENTS; LUMPED MASS; LYAPUNOV EXPONENT; MECHANICAL SYSTEMS; NUMERICAL SOLUTION; PLANAR MECHANISM; VIBRATION; VIBRATION CHARACTERISTICS; WEAR PHENOMENA;

CRACKS; DYNAMIC ANALYSIS; EQUATIONS OF MOTION; LYAPUNOV METHODS; MECHANISMS; VIBRATION ANALYSIS;

DYNAMICS;

EID: 77957268564     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2010.07.006     Document Type: Article

References (51)

1. R.M. Brach Mechanical Impact Dynamics 1991 Wiley New York
2. B.M. Bahgat, M.O.M. Osman, and T.S. Sankar On the effect of bearing clearances in the dynamic analysis of planar mechanisms Journal of Mechanical Engineering Science 21 1979 429 437
3. P. Cacciola, and G. Muscolino Dynamic response of a rectangular beam with a known non-propagating crack of certain or uncertain depth Computers & Structures 80 27-30 2002 2387 2396
4. A. Carpinteri, A. Spagnoli, and S. Vantadori An elastic-plastic crack bridging model for brittle-matrix fibrous composite beams under cyclic loading International Journal of Solids and Structures 43 16 2006 4917 4936
5. T.G. Chondros, and A.D. Dimarogonas Dynamics sensitivity of structures to cracks Journal of Vibration, Acoustics, Stress and Reliability in Design 111 1989 2521 2556
6. T.G. Chondros, A.D. Dimarogonas, and J. Yao Longitudinal vibration of a continuous cracked bar Engineering Fracture Mechanics 61 1998 593 606 (Pubitemid 29099478)
7. S.C. Chu, and K.C. Pan Dynamic response of a high-speed slider-crank mechanism with an elastic connecting rod Journal of Engineering for Industry, Transactions of the ASME 97 1975 542 550
8. G. Desaraju, E.C. Eckstein, S.K. Roy, and R. Rabb Fatigue failure of a connecting rod Engineering Failure Analysis 3 1 1996 13 28
9. A.D. Dimarogonas Vibration of cracked structure: a state of the art review Engineering Fracture Mechanics 55 1996 831 857
10. A.D. Dimarogonas Vibration Engineering 1976 West Publishers St.Paul, Minnesota
11. A.D. Dimarogonas, and S.A. Paipetis Analytical Methods in Rotor Dynamics 1983 Elsevier Applied Science London
12. S. Dubowsky, and M. Moening An experimental and analytical study of impact forces in elastic mechanical system with clearances Mechanism Machine Theory 64 1978 89 95
13. S. Dubowsky, J.F. Deck, and H. Costello The dynamic modeling of spatial machine systems with clearance connections Journal of Mechanisms, Transmissions, and Automation in Design, Transactions of the American Society of Mechanical Engineers 109 1987 87 94
14. S. Dubowsky, M. Norris, E. Aloni, and A. Tamir An analytical and experimental study of the prediction of impacts in planar mechanical systems with clearances Journal of Mechanisms, Transmissions and Automation in Design, Transactions of the American Society of Mechanical Engineers 106 1984 1 8
15. M. Dupac, and D.B. Marghitu Nonlinear dynamics of a flexible mechanism with impact Journal of Sound and Vibration 289 Issues 4-5 2006 952 966
16. E.H. El-Dannanh "Flexural vibrational behaviour of an elastic linkage containing a transverse crack" Mechanism and Machine Theory 30 2 1995 285 297
17. J.D. Farmer, E. Ott, and J.A. Yorke The dimension of chaotic attractors Physica D 7 1983 153 180
18. F. Farahanchi, and S.W. Shaw Chaotic and periodic dynamics of a slider-crank mechanism with slider clearance Journal of Sound and Vibration 177 3 1994 307 324
19. P. Flores, R. Leine, and C. Glocker Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach Multibody System Dynamics 23 2010 165 190
20. M. de Fonte, E. Gomes, and M. de Freitas Stress intensity factors for semi-elliptical surface cracks in round bars subjected to mode I (bending) and mode III (torsion) loading European Structural Integrity Society 25 1999 249 260
21. C. Glocker On frictionless impact models in rigid-body systems Philosophical Transactions of the Royal Society of London, Series A 359 1789 2001 2385 2404
22. J. Hu, and R.Y. Liang An integrated approach to detection of cracks using vibration characteristics Journal of the Franklin Institute 330 5 1993 841 853
23. T. Kapitaniak Chaotic Oscillations in Mechanical Systems 1991 Manchester University Press
24. Jinhee Lee Identification of multiple cracks in a beam using vibration amplitudes Journal Sound and Vibration 326 2009 205 212
25. R.Y. Liang, F.K. Choy, and J. Hu Detection of cracks in beam structures measurements of natural frequencies Journal of the Franklin Institute 328 4 1991 505 518
26. N.T. Khibm, and T.V. Lien A simplified method for natural frequency of a multiple cracked beam Journal of Sound and Vibration 245 2001 737 751
27. Y.A. Khulief, and A.A. Shabana Impact responses of multi-body system consistent and lumped masses Journal of Sound and Vibration 104 2 1986 187 207
28. Y.A. Khulief, and A.A. Shabana Dynamic analysis of constrained of rigid and flexible bodies with intermittent motion Journal of Mechanisms, Transmissions, and Automation in Design, Transactions of the American Society of Mechanical Engineers 108 1986 38 45
29. M. Krawczuk, and W.M. Ostachowicz Influence of a crack on the dynamic stabilty of a column Journal of Sound and Vibration 167 3 1993 541 555
30. D.B. Marghitu, and Y. Hurmuzlu Three-dimensional rigid-body collisions with multiple contact points Journal of Applied Mechanics 62 1995 725 732
31. D.B. Marghitu, S.C. Sinha, and C. Diaconescu Control of a parametrically excited flexible beam undergoing rotations and impacts Multibody System Dynamics 3 1999 47 63 (Pubitemid 129575649)
32. P. Mitiguy, and A.K. Banerjee Determination of spring constants for modeling flexible beams Working Model Technical Paper 2000
33. F.C. Moon, and S.W. Shaw Chaotic vibrations of a beam with non-linear boundary conditions International Journal of Non-Linear Mechanics 18 6 1983 465 477
34. D.B. Moore, and S.W. Shaw The experimental response of impact pendulum system International Journal of Non-Linear Mechanics 25 1 1990 1 16
35. A.H. Nayfeh, and B. Balachandran Applied Nonlinear Dynamics 1995 John Wiley & Sons, Inc. New York
36. H. Okamura, H.W. Liu, and C. Chorng-Shin A cracked column under compression Engineering Fracture Mechanics 1 3 1969 547 564
37. M. Payr, and C. Glocker Oblique frictional impact of a bar: analysis and comparison of different impact laws Nonlinear Dynamics 41 2005 361 383
38. J.R. Rice, and N. Levy The part through surface crack in an elastic plate Journal of Applied Mechanics 39 1972 185 194
39. D. Rubinstein Dynamics of a flexible rod and a system of rigid rods, fully inverse (one-sided) boundary conditions Computer Methods in Applied Mechanics and Engineering 175 1-2 1999 87 97
40. L.D. Seneviratne, and S.W.E. Earles Chaotic behavior exhibited during contact loss in a clearance joint of a four-bar mechanism Mechanism and Machine Theory 27 3 1992 307 321
41. S.W. Shaw The dynamics of a harmonically excited system having rigid amplitude constraints, parts 1, 2 Journal of Applied Mechanics 52 2 1985 453 464
42. J. Shaw, and S.W. Shaw The onset of chaos in a two-degree-freedom impact system Journal of Applied Mechanics 56 1989 168 174
43. E.I. Shifrin, and R. Ruotolo Natural frequencies of a beam with an arbitrary number of cracks Journal of Sound and Vibration 222 3 1999 409 423
44. C.S. Shin, and C.Q. Cai Fatigue crack propagation properties from small sized rod specimens Nuclear Engineering and Design 236 24 2006 2574 2579
45. M. Skrinar, and T. Plibersek New linear spring stiffness definition for displacement analysis of cracked beam elements Proceedings in Applied Mathematics and Mechanics 4 2004 654 655
46. J. Slavic, M.D. Bryant, and M. Boltezar A new approach to roughness-induced vibrations on a slider Journal of Sound and Vibration 306 2007 732 750
47. D.E. Stewart Finite-dimensional contact mechanics Philosophical Transactions of the Royal Society of London, Series A 359 2001 2467 2482
48. M.A. Townsend, and W.M. Mansour A pendulating model for mechanisms with clearance in the revolutes Journal of Engineering for Industry, Transactions of the American Society of Mechanical Engineers 97 1975 354 358
49. A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano Determining Lyapunov exponents from a time series Physica D 16 1985 285 317
50. J.S. Wu, and H.M. Chou Free vibration analysis of a cantilever beam carrying any number of elastically mounted point masses with the analytical-and-numerical method Journal of Sound and Vibration 213 1998 317 332
51. M. Skrinar, and A. Umek Single cracked cantilever under tension loads Proceedings of the International Conference on Computational Methods and Experimental Measurements, Naples, Italy 9 1999 419 428