Design, modeling and dynamic simulation of three double stage gearboxes with different module, mesh stiffness fluctuation and different level tooth breakage

Authors

Keywords:

Rigidez de engrane, señal residual, ruptura del diente, respuesta dinámica

Abstract


This paper presents the detection of failure in gears using, as a statistical indicator, the Root Mean Square value from the vibration residual signal. Models for three double stage gearboxes are considered on the analysis. The gear models are designed with different modules in order to preserve geometrical resemblance. This research shows the variation on gear mesh stiffness for different amounts of damage. This paper also describes the development of a model to simulate the vibration response from the double stage gearbox for conditions with and without failure. The variation on time of the gear mesh stiffness is taken into account on the dynamic simulation, and damping coefficient is considered proportional to gear mesh stiffness. Results obtained from dynamic simulation for both good state and with failure teeth are in accordance with the results reported on literature.

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Author Biographies

Jairo Alberto Ruiz-Botero, Universidad Tecnológica de Pereira

Facultad de Ingeniería Mecánica

Héctor Fabio Quintero-Riaza, Universidad Tecnológica de Pereira

 

 

References

S. Wu, M. Zuo, A. Parey. “Simulation of spur gear dynamics and estimation of fault growth”. Journal of Sound and Vibration. Vol. 317. 2008. pp. 608-624.

P. Chen, F. Feng, T. Toyota. Dynamic analysis method of fault gear equipment. Proceedings of the 14th International Congress on Condition Monitoring and Diagnostic Engineering Management (COMADEM). Manchester, UK. 2001. pp. 419-426.

H. Özgüven, D. Houser. “Mathematical Models Used in Gear Dynamics - A Review”. Journal of Sound and Vibration. Vol. 121. 1988. pp. 383-411.

W. Bartelmus. “Mathematical modelling and computer simulations as an aid to gearbox diagnostics”. Mechanical Systems and Signal Processing. Vol. 15. 2001. pp. 855-871.

F. Chaari, T. Fakhfakh, M. Haddar. “Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission”. European Journal of Mechanics A/Solids. Vol 27. 2008. pp. 691-705.

Z. Chen, Y. Shao. “Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth”. Engineering Failure Analysis. Vol. 18. 2011. pp. 2149-2164.

J. Wang. Numerical and Experimental Analyses of Spur Gears in Mesh. Ph.D Thesis, Curtin University of Technology. Sidney, Australia. 2003. pp. 49-64.

C. Weber. The deformation of loaded gears and the effect on their load-carrying capacity. Report N.° 3, Sponsored research (Germany), British Dept. of Sci. and Ind. Res. London, UK. 1949. pp. 22.

P. Sainsot, P. Velex, O. Duverger. “Contribution of gear body to tooth deflections – a new bidimensional analytical formula”. ASME J. Mec.Des. Vol. 126. 2004. pp. 748-752.

F. Chaari, T. Fakhfakh, M. Haddar. “Analytical modeling of spur gear tooth crack and influence on gearmesh stiffness”. European Journal of Mechanics A/Solids. Vol. 28. 2009. pp. 461-468.

American Gear Manufacturers Association. Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth. ANSI/ AGMA 2001-B88. Alexandria, USA. 2001. pp. 58

R. Norton. Machine design, an integrated approach. 4th ed. Ed. Pearson Education, Inc. New Jersey, USA. 2006. pp. 681-746.

R. Budynas, J. Nisbett. Diseño en ingeniería mecánica de Shigley. 8th ed. Ed. McGraw-Hill/ Interamericana Editores, S. A. de C.V.. Mexico, D. F., Mexico 2008. pp. 713-763.

F. Litvin, A. Fuentes. Gear Geometry and Applied Theory. 2nd ed. Ed. Cambridge University Press. New York, USA. 2004. pp. 800.

D. Yang, Z. Sun. “A rotary model for spur gear dynamics”. ASME J. Mech. Des. Vol. 107. 1985. pp. 529-535.

N. Muskhelishvili. Some Basic Problems of the Mathematical Theory of Elasticity. 2nd ed. Ed. Noordhoff International Publishing. Leyden, Netherlands. 1977. pp. 176-196.

F. Chaari, T. Fakhfakh, M. Haddar. “Simulation numérique du comportement dynamique d’une transmission par engrenages en présence de défauts de denture”. Mécanique & Industries. Vol. 6. 2005. pp. 625-633.

F. Chaari, T. Fakhfakh, M. Haddar. “Dynamic analysis of a planetary gear failure caused by tooth pitting and cracking”. Journal of Failure Analysis and Prevention. Vol. 6. 2006. pp. 73-78.

S. Harris. “Dynamic Loads on the Teeth of Spur Gears”. ARCHIVE: Proceedings of the Institution of Mechanical Engineers. Vol. 172. 1958. pp. 87-112.

M. Amabili, A. Rivola. “Dynamic analysis of spur gear pairs: steady-state response and stability of the SDOF model with time-varying meshing damping”. Mechanical systems and signal processing. Vol. 11. 1997. pp. 375-390.

X. Tian. Dynamic Simulation for System Response of Gearbox Including Localized Gear Faults. M.Sc. Thesis, University of Alberta. Alberta, Canada. 2004. pp. 64-88.

F. Chaari, T. Fakhfakh, R. Hbaieb, J. Louati, M. Haddar. “Influence of manufacturing errors on the dynamic behavior of planetary gears”. The International Journal of Advanced Manufacturing Technology. Vol. 27. 2006. pp. 738-746.

J. Kuria, J. Kihiu. “Modeling parametric vibration of multistage gear systems as a tool for design optimization”. International Journal of Mechanical, Industrial and Aerospace Engineering. Vol. 2. 2008. pp. 159-166.

E. Kramer. Dynamics of rotors and foundations. 1st ed. Ed. Springer-Verlag. Berlin, Germany. 1993. pp. 129- 141.

F. Cellier, E. Kofman. Continuous system simulation. 3rd ed. Ed. Springer-Verlag. New York, USA. 2006. pp. 1-478.

R. Stewart. Some Useful Data Analysis Techniques for Gearbox Diagnostics. Applications of Time Series Analysis. PhD Thesis, University of Southampton. Southampton, UK. 1977. pp. 19-22

A. Brandt. Noise and Vibration Analysis: Signal Analysis and Experimental Procedures. 1st ed. Ed. John Wiley & Sons. New Delhi, India. 2011. pp. 68-69.

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Published

2015-02-19

How to Cite

Ruiz-Botero, J. A., López-López, J. F., & Quintero-Riaza, H. F. (2015). Design, modeling and dynamic simulation of three double stage gearboxes with different module, mesh stiffness fluctuation and different level tooth breakage. Revista Facultad De Ingeniería Universidad De Antioquia, (74), 117–131. Retrieved from https://revistas.udea.edu.co/index.php/ingenieria/article/view/19112