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On the Dynamics of Gear Shifting

Author

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  • Jang Bong-Choon
  • Dean Karnopp

Abstract

Continuously or discretely variable transmissions are used in a variety of machines to match prime mover characteristics to varying loads. In most cases, the transmissions provide a fairly rigid constraint on the motions of inertial elements associated with the prime mover and the load although compliance will allow some high frequency oscillatory behavior. In this paper, compliance effects are neglected and the emphasis is on correct representations of impulsive forces associated with rapid gear ratio changes. The aim is to represent jumps in speeds, momenta and energy at the shifting times. This allows an efficient computer model of the overall system dynamics to be made without the necessity of representing the high frequency dynamics of the transmission itself. Bond graph models of automotive systems will be used to illustrate some of the pitfalls associated with models of various types of shiftable transmissions but the concepts apply to a wide variety of machines.

Suggested Citation

  • Jang Bong-Choon & Dean Karnopp, 2000. "On the Dynamics of Gear Shifting," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 6(3), pages 209-221, September.
    • Handle: RePEc:taf:nmcmxx:v:6:y:2000:i:3:p:209-221
    DOI: 10.1076/1387-3954(200009)6:3;1-I;FT209
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