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An experimental investigation of dynamic behavior of a spur gear pair for marine applications

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주제분류기계공학

초록

In this study, an accelerometer-based measurement method is proposed to investigate the dynamic behavior of a spur gear pair. Using this method, dynamic transmission errors of a spur gear pair were measured under realistic speeds and torque ranges to capture its distinct nonlinear phenomenon. This measurement employed a set of uniaxial accelerometers tangentially mounted on the flanges of each shaft next to the gears at a certain radius. The tangential acceleration signals obtained from the uniaxial accelerometers were further processed to calculate the dynamic transmission error by using the proposed formulation. This accelerometer-based meas-urement system was implemented with an example of a spur gear pair with perfect involute profiles. As a result, the measured data show that dynamic transmission errors can be measured quite effectively by using the accelerometer-based measurement method pro-posed in this study. The measured data show that significant vibratory magnitudes were observed for spur gear pairs in the torsional direction. Also, strong nonlinear behaviors in their motions were captured in the form of the discontinuity phenomenon of the forced responses of the dynamic transmission error in the vicinity of the resonances. Based on this research, the proposed accelerometer-based measurement system is suitable for measuring the torsional vibrations of the gear pair in terms of the dynamic transmission error. More importantly, a spur gear pair exhibits significant vibration magnitudes with strong nonlinear behaviors under dynamic conditions.

Abstract

In this study, an accelerometer-based measurement method is proposed to investigate the dynamic behavior of a spur gear pair. Using this method, dynamic transmission errors of a spur gear pair were measured under realistic speeds and torque ranges to capture its distinct nonlinear phenomenon. This measurement employed a set of uniaxial accelerometers tangentially mounted on the flanges of each shaft next to the gears at a certain radius. The tangential acceleration signals obtained from the uniaxial accelerometers were further processed to calculate the dynamic transmission error by using the proposed formulation. This accelerometer-based meas-urement system was implemented with an example of a spur gear pair with perfect involute profiles. As a result, the measured data show that dynamic transmission errors can be measured quite effectively by using the accelerometer-based measurement method pro-posed in this study. The measured data show that significant vibratory magnitudes were observed for spur gear pairs in the torsional direction. Also, strong nonlinear behaviors in their motions were captured in the form of the discontinuity phenomenon of the forced responses of the dynamic transmission error in the vicinity of the resonances. Based on this research, the proposed accelerometer-based measurement system is suitable for measuring the torsional vibrations of the gear pair in terms of the dynamic transmission error. More importantly, a spur gear pair exhibits significant vibration magnitudes with strong nonlinear behaviors under dynamic conditions.

참고문헌 (11)

  1. 김건우, "헬리컬 유성감속기 기반 선박용 터닝기어 개발", 한국기계가공학회지, 19(10), pp.36~43 (2020), 한국기계가공학회[DOI]
  2. J. -S. Kim, "Vibration characteristics of reduction gear by propeller excitation on the marine pro-pulsion shafting system", Proceedings of the Koren Society for Noise and Vibration Engineering Conference (KSNVE) fall conference, pp.378~379 (2012)
  3. A. Kahraman, "Dynamic analysis of a multi-mesh helical gear train", Journal of Mechanical Design, 116(3), pp.706~712 (1994)
  4. A. Kahraman, "Effect of axial vibrations on the dynamics of a helical gear pair", Journal of Vibration and Acoustics, 115(1), pp.33~39 (1993)
  5. D. B. Welbourn, "Fundamental knowledge of gear noise: A survey", Conference on Noise and Vibrations of Engines and Transmissions (1979)
  6. Methods for Measur-ing Gear Transmission Error Under Load and at Operating Speeds, "D. R. Houser", SAE Interna-tional, 11~14, pp.SAE Technical Paper Series 891869 (1989)
  7. R. G. Munro, "The DC component of gear transmission er-ror", Proceedings of the International Power Transmission and Gearing Conference, pp.467~470 (1989)
  8. R. E. Smith, "Single flank data analysis and interpretation", Gear Technology, pp.20~34 (1985)
  9. D. Remond, "Advantages and perspectives of gear transmission error measurement with optical encod-ers", 4th World Congress on Gearing and Power Transmis-sion, pp.1789~1801 (1999)
  10. I. Hayashi, "Development of the dynamic measurement method of transmission error of a gear pair", Proceedings of the International Symposium of Gearing and Power Transmissions, pp.497~502 (1981)
  11. G. V. Tordian, "Dynamic Measurement of Transmission Error in Gears", JSME Semi-International Symposium, pp.279~284 (1967)

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