Application of Contour Equations to Kinematic Analysis of Complex and Compound Planetary Gears

  • Józef Wojnarowski
  • Józef DrewniakEmail author
  • Tomasz Kądziołka
  • Jerzy Kopeć
  • Konrad Stańco
  • Stanisław Zawiślak
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


In the paper, complex and compound 1 and 2 DOF planetary gears are analyzed aiming for reduction of internal circulating power. Two different methods were used: (i) method of contour graphs and (ii) well known Willis’ formula. The detailed analyses made for some exemplary layouts of compound planetary gears show usefulness of the proposed graph-based approach. The considerations were supplemented by the engineering method which is the Willis formula. An additional and perhaps even the main role of the use of Willis’ approach is checking correctness of the results obtained with the contour graph method.


contour graph planetary gears kinematics 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Józef Wojnarowski
    • 1
  • Józef Drewniak
    • 2
    Email author
  • Tomasz Kądziołka
    • 1
  • Jerzy Kopeć
    • 2
  • Konrad Stańco
    • 2
  • Stanisław Zawiślak
    • 2
  1. 1.State University of Applied SciencesNowy SączPoland
  2. 2.University of Bielsko-BialaBielsko-BialaPoland

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