A new method of identifying modal parameters (natural frequency and damping) and the equivalent gear error of a spur gear pair is developed. The equivalent error is a function of the gear position and is related to the errors of the driving and the driven gears and to the non-dimensional stiffness of the teeth. The method is based on the measurement of the gear torsional vibrations. The test bench is modelled as a single degree of freedom system and must be assembled by using stiff bearings and torsionally compliant shafts.
Get full access to this article
View all access options for this article.
References
1.
ÖzgüvenH. N.HouserD. R.1988Journal of Sound and VibrationVol. 121, 383–411. Mathematical models used in gear dynamics.
2.
ÖzgüvenH. N.HouserD. R.1988Journal of Sound and VibrationVol. 125, 71–83. Dynamic analysis of high speed gears by using loaded static transmission error.
3.
AmabiliM.RivolaA.1997Mechanical Systems and Signal ProcessingVol. 11, 375–390. Dynamic analysis of spur gear pairs: Steady state response and stability of the SDOF model with time-varying meshing stiffness.
4.
CaiY.HayashiT.1994Transactions of the American Society of Mechanical Engineers, Journal of Mechanical DesignVol.116, 558–564. The linear approximated equation of vibration of a pair of spur gears (theory and experiment).
5.
UmezawaK.SatoT.IshikawaJ.1984Bulletin of the Japan Society of Mechanical EngineersVol. 27 (223), 102–109. Simulation on rotational vibration of spur gears.
6.
AmabiliM.FregolentA.1998Journal of Sound and VibrationVol.214, 339–357. A method to identify modal parameters and gear errors by vibrations of a spur gear pair.
