A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behaviour

Journal of Sound and Vibration

Volumn 191, Issue 5, 1996, Pages 629-660

  Velex, P ^a   Maatar, M ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DYNAMICS; EQUATIONS OF MOTION; ERRORS; GEARS; GEOMETRY; MOUNTINGS; NONLINEAR SYSTEMS; PROBLEM SOLVING; STIFFNESS; TRANSMISSIONS; VIBRATIONS (MECHANICAL);

CONTACT CONDITIONS; FLANKS; LUMPED PARAMETER NONLINEAR SYSTEMS; MOUNTING ERRORS; PINION; POTENTIAL CONTACT LINE; SHAPE DEVIATIONS;

MATHEMATICAL MODELS;

EID: 0030129192     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0148     Document Type: Article

References (60)

1. W. A. TUPLIN 1958 Machine Design 25, 203-211. Dynamic loads on gear teeth.
2. H. STRAUCH 1953 Zeitschrift des Vereines Deutscher Ingenieurs 95, 159-163. Zahnradschwingungen.
3. S. L. HARRIS 1958 Proceedings of the Institution of Mechanical Engineers 172, 87-112. Dynamic loads on the teeth of spur gears.
4. R. W. GREGORY, S. L. HARRIS and R. G. MUNRO 1963 Proceedings of the Institution of Mechanical Engineers 178, 166-173. Torsional motion of a pair of spur gears.
5. R. W. GREGORY, S. L. HARRIS and R. G. MUNRO 1963 Proceedings of the Institution of Mechanical Engineers 178, 261-266. Dynamic behaviour of spur gears.
6. S. V. NERIYA, R. B. BHAT and T. S. SANKAR 1985 Shock and Vibration Bulletin 55, 13-25. Coupled torsional flexural vibration of a geared shaft system using finite element analysis.
7. A. KAHRAMAN, H. N. ÖZGÜVEN, D. R. HOUSER and J. ZAKRAJSEK 1989 Proceedings of the 5th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission 1, 375-382. Dynamic analysis of geared rotors by finite elements.
8. P. VELEX and D. BERTHE 1989 Proceedings of the 5th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission 1, 447-454. Dynamic tooth loads on geared trains.
9. R. KASUBA and J. W. EVANS 1981 Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers 103, 398-409. An extended model for determining dynamic loads in spur gearing.
10. R. W. CORNELL and W. W. WESTERVELT 1978 Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers 100, 69-76. Dynamic tooth loads and stressing for high contact ratio spur gears.
11. S. KIYONO, T. AIDA and Y. FUJII 1978 Bulletin of the Japanese Society of Mechanical Engineers 21, 915-930. Vibration of helical gears. Part I: Theoretical analysis and Part II: Experimental investigation.
12. F. KUCUKAY 1984 Proceedings of the 3rd Institution of Mechanical Engineers International Conference on Vibration in Rotating Machinery, York, 81-90. Dynamic behavior of high speed gears.
13. A. KUBO 1978 Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers 100, 77-84. Stress condition, vibrational exciting force and contact pattern of helical gears with manufacturing and alignment errors.
14. A. KAHRAMAN and R. SINGH 1991 Journal of Sound and Vibration 144, 469-506. Non-linear dynamics of a geared rotor system with multiple clearances.
15. F. PFEIFFER 1991 Proceedings of the 3rd Japanese Society of Mechanical Engineers International Conference on Motion and Power Transmission, Hiroshima, 43-48. Modelling problems of rattling in gearboxes.
16. A. KAHRAMAN and R. SINGH 1991 Journal of Sound and Vibration 146, 135-156. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system.
17. W. D. MARK 1978 Journal of the Acoustical Society of America 63, 1409-1430. Analysis of the vibration of gear systems: basic theory.
18. W. D. MARK 1979 Journal of the Acoustical Society of America 66, 1758-1787. Analysis of the vibration of gear systems: tooth error representation, approximations and applications.
19. E. P. REMMERS 1978 Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers 100, 715-720. Gear mesh excitation spectra for arbitrary tooth spacing errors, loads and design contact ratio.
20. H. N. ÖZGÜVEN and G. R. HOUSER 1988 Journal of Sound and Vibration 121, 383-411. Mathematical models used in gear dynamics. A review.
21. P. VELEX 1993 Comportement dynamique et acoustique des transmissions par engrenages chap, 2, CETIM, 39-95. Modelisation du comportement dynamique des transmissions par engrenages.
22. R. G. MUNRO 1991 Proceedings of the 1st Institution of Mechanical Engineers International Conference on Gearbox Noise and Vibration, Cambridge, 3-10. A review of the theory and measurement of gear transmission error.
23. D. R. HOUSER 1988 Proceedings of the International Noise Conference, Avignon, 516-520. Gear noise. State of the art.
24. G. W. BLANKENSHIP and R. SINGH 1992 Proceedings of the 6th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission, Phoenix 1, 137-146. A comparative study of selected gear mesh interface dynamic models.
25. K. UMEZAWA, H. HOUJOH and S. MATSUMARA 1992 Proceeding of the 6th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission, Phoenix 2, 681-688. The influence of flank deviations on the vibration of a helical gear pair transmitting light load.
26. K. UMEZAWA, T. SUZUKI, H. HOUJOH and T. SATO 1985 Bulletin of the Japanese Society of Mechanical Engineers 28, 694-700. Vibration of power transmission helical gears (the effect of contact ratio on the vibration).
27. G. W. BLANKENSHIP 1992 Ph.D. Dissertation, the Ohio State University, Columbus, Ohio. Analysis of force coupling and modulation phenomenon in geared rotor systems.
28. F. M. L. AMIROUCHE, N. H. SHAREEF and M. XIE 1991 American Society of Mechanical Engineers, DE-Vol 36, Machinery Dynamic and Element Vibrations, 257-262. Dynamic analysis of flexible gear trains/transmission: an automated approach.
29. M. MAATAR, P. VELEX and L. FLAMAND 1994 Proceedings of the International Gearing Conference, Newcastle, 111-116. Numerical simulations of the non-linear dynamic behaviour of misaligned gears.
30. H. K. KOHLER, A. PRATT and A. M. THOMPSON 1970 Proceedings of the Institution of Mechanical Engineers 184, 111-121. Dynamics and noise of parallel-axis gearing.
31. R. C. AZAR and F. R. E. CROSSELEY 1977 Journal of Engineering for Industry, Transactions of the American Society of Mechanical Engineers, 792-798. Digital simulation of impact phenomenon in spur gear systems.
32. R. J. COMPARIN and R. SINGH 1990 Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers 112, 237-245. An analytical study of automotive neutral gear rattle.
33. H. M. HILBERT, T. J. R. HUGHES and R. L. TAYLOR 1977 International Journal of Earthquake Engineering and Structural Dynamics 5, 283-292. Improved numerical dissipation for time integration algorithms in structural dynamics.
34. J. J. KALKER 1982 Delft University of Technology-Report no. 82-26. Two algorithms for the contact problem in elastostatics.
35. H. N. ÖZGÜVEN and D. R. HOUSER 1988 Journal of Sound and Vibration 125, 71-83. Dynamic analysis of high speed gears by using loaded static transmission error.
36. C. D. HADDAD and J. A. PENNELL 1992 Proceedings of the 3rd World Congress on Gearing, Paris 1, 201-211. A PC-based program for three dimensional elastic analysis of load distribution in wide-faced spur and helical gears.
37. M. MAATAR, P. VELEX, T. NGUYEN, M. OCTRUE and J. L. VASSEUR 1995 Proceedings of Vibration and Noise '95, Venice, 711-717. Experimental and numerical analysis of transmission errors in spur gear drives.
38. A. KUBO, K. YAMADA, T. AIDA and S. SATO 1972 Bulletin of the Japanese Society of Mechanical Engineers 38, 2692-2715. Research on ultra high speed gear devices.
39. D. R. HOUSER and A. SEIREG 1970 Journal of Engineering for Industry, Transactions of the American Society of Mechanical Engineers 92, 495-503. An experimental investigation of dynamic factors in spur and helical gears.
40. A. SEIREG and D. R. HOUSER 1970 Journal of Engineering for Industry, Transactions of the American Society of Mechanical Engineers 92, 504-515. Evaluation of dynamic factors for spur and helical gears.
41. M. F. SPOTTS 1984 Machine Design 56, 84-88. Estimating dynamic loads on gear teeth.
42. R. G. MUNRO 1970 Proceedings of the Institution of Mechanical Engineers 184, 79-84. Effect of geometrical errors on the transmission of motion between gears.
43. D. B. WELBOURN 1970 Proceedings of the Institution of Mechanical Engineers 184, 131-139. Gear errors and their resultant noise spectra.
44. W. D. MARK 1992 Journal of the Acoustical Society of America 91, 166-186. Contributions to the vibratory excitation of gear systems from periodic undulations on tooth running surfaces.
45. K. UMEZAWA 1989 Proceedings of the 5th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission 1, 399-408. The performance diagrams for the vibration of helical gears.
46. G. W. BLANKENSHIP and R. SINGH 1995 Journal of Sound and Vibration 179, 13-36. Analytical solution for modulation sidebands associated with a class of mechanical oscillators.
47. R. B. RANDAL 1982 Journal of Mechanical Design, Transactions of the American Society of Mechanical Engineers 104, 259-267. A new method of modelling gear faults.
48. K. UMEZAWA, T. SUZUKI, H. HOUJOH and K. BAGIASNA 1986 Proceedings of the 2nd Congrès Mondial des Engrenages, Paris, 1, 615-626. Influence of misalignment on vibration of helical gear.
49. H. VINAYAK and D. R. HOUSER 1992 Proceedings of the 6th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission, Phoenix 1, 11-18. A comparison of analytical predictions with experimental measurements of transmission error of misaligned loaded gears.
50. M. TAVAKOLI and D. R. HOUSER 1986 Journal of Mechanisms, Transmissions and Automation in Design, Transactions of the American Society of Mechanical Engineers 108, 86-94. Optimum profile modifications for the minimization of static transmission errors of spur gears.
51. H. H. LIN, D. P. TOWNSEND and F. OSWALD 1989 Proceedings of the 5th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission 1, 455-465. Profile modification to minimise spur gear dynamic loading.
52. H. H. LIN, F. OSWALD and D. P. TOWNSEND 1989 Proceedings of the 5th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission 1, 409-419. Dynamic loading of spur gears with linear or parabolic tooth profile modifications.
53. D. B. WELBOURN 1979 Proceeding of the Institution of Mechanical Engineers Conference on Noise and Vibrations of Engines and Transmissions, 9-14. Fundamental knowledge of gear noise. A survey.
54. F. B. OSWALD, B. REBBECHI, J. J. ZAKRAJSEK, D. P. TOWNSEND and H. H. LIN 1991 American Society of Mechanical Engineers, DE-Vol 36, Machinery Dynamics and Element Vibrations, 263-269. Comparison of analysis and experiment for dynamics of low-contact-ratio spur gears.
55. R. G. MUNRO, N. YILDIRIM and D. M. HALL 1991 Proceedings of the 1st Institution of Mechanical Engineers International Conference on Gearbox Noise and Vibration, 35-44. Optimum profile relief and transmission error in spur gears.
56. M. WECK and G. MAUER 1989 Proceedings of the 5th American Society of Mechanical Engineers International Conference on Gearing and Power Transmission 1, 197-202. Optimum tooth flank corrections for helical gears.
57. S. SUNDARESAN, K. ISHII and D. R. HOUSER 1991 Proceedings of the 3rd Japanese Society of Mechanical Engineers International Conference on Motion and Power Transmission, 92-97. Design of helical gears with minimum transmission error under manufacturing and operating variances.
58. M. MAATAR, P. VELEX and M. OCTRUE 1995 Proceedings of the 2nd Institution of Mechanical Engineers International Conference on Gearbox Noise and Vibration, London, 199-208. Loaded transmission error predictions and measurements on spur gears with profile reliefs.
59. P. VELEX and A. SAADA 1991 Proceedings of the 3rd Japanese Society of Mechanical Engineers International Conference on Motion and Power Transmission, Hiroshima, 117-122. Modal analysis for the prediction of dynamic tooth loads in geared trains.
60. H. N. ÖZGÜVEN 1992 Proceedings du 3 ème Congrès Mondial des Engrenages et Transmissions, Paris 1, 921-930. Dynamic response of geared rotors to internal excitation by using a finite element model.