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Planetary gear profile modification design based on load sharing modelling

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Abstract

In order to satisfy the increasing demand on high performance planetary transmissions, an important line of research is focused on the understanding of some of the underlying phenomena involved in this mechanical system. Through the development of models capable of reproduce the system behavior, research in this area contributes to improve gear transmission insight, helping developing better maintenance practices and more efficient design processes. A planetary gear model used for the design of profile modifications ratio based on the levelling of the load sharing ratio is presented. The gear profile geometry definition, following a vectorial approach that mimics the real cutting process of gears, is thoroughly described. Teeth undercutting and hypotrochoid definition are implicitly considered, and a procedure for the incorporation of a rounding arc at the tooth tip in order to deal with corner contacts is described. A procedure for the modeling of profile deviations is presented, which can be used for the introduction of both manufacturing errors and designed profile modifications. An easy and flexible implementation of the profile deviation within the planetary model is accomplished based on the geometric overlapping. The contact force calculation and dynamic implementation used in the model are also introduced, and parameters from a real transmission for agricultural applications are presented for the application example. A set of reliefs is designed based on the levelling of the load sharing ratio for the example transmission, and finally some other important dynamic factors of the transmission are analyzed to assess the changes in the dynamic behavior with respect to the non-modified case. Thus, the main innovative aspect of the proposed planetary transmission model is the capacity of providing a simulated load sharing ratio which serves as design variable for the calculation of the tooth profile modifications.

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Authors and Affiliations

  1. Mechanical Engineering Research Group, University of Cantabria, Santander, 39005, Spain

    Miguel Iglesias, Alfonso Fernández Del Rincón, Ana Magdalena De-Juan, Pablo Garcia, Alberto Diez & Fernando Viadero

Authors
  1. Miguel Iglesias
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  2. Alfonso Fernández Del Rincón
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  3. Ana Magdalena De-Juan
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  4. Pablo Garcia
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  5. Alberto Diez
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  6. Fernando Viadero
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Corresponding author

Correspondence to Fernando Viadero.

Additional information

Supported by the Project DPI2013-44860 funded by the Spanish Ministry of Science and Technology

IGLESIAS Miguel is a research professor and received his PhD degree at University of Cantabria, Spain in 2013. His research activities are focused on machinery condition monitoring and gear dynamic modelling.

FERNÁNDEZ DEL RINCÓN Alfonso is an associate professor and a PhD candidate supervisor at University of Cantabria, Spain. He received his PhD degree from University of Cantabria, Spain in 2010. His research interests include rotordynamics and machinery condition monitoring.

DE-JUAN Ana Magdalena is an assistant professor at University of Cantabria, Spain. She received her PhD degree from University of Cantabria, Spain in 2011. Her research interests fall in the kinematics synthesis and multibody modeling.

GARCIA Pablo is currently an associate professor at Mechanical Engineering Research Group, University of Cantabria, Spain. His main research activities include kinematics synthesis, machine dynamics and NVH assessment.

DIEZ Alberto is an engineer and an assistant lecturer at University of Cantabria, Spain, and is a PhD candidate in the field of gear efficiency modeling. He received his master degree on industrial engineering in 2011.

VIADERO Fernando is a full professor and the head at the Mechanical Engineering Research Group, University of Cantabria, Spain. He received his PhD degree from Faculty of Engineering of Bilbao, Spain, in 1984. His research interests include dynamics of gear transmissions, analysis and synthesis of mechanisms, and vehicle suspension design.

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Iglesias, M., Fernández Del Rincón, A., De-Juan, A.M. et al. Planetary gear profile modification design based on load sharing modelling. Chin. J. Mech. Eng. 28, 810–820 (2015). https://doi.org/10.3901/CJME.2015.0307.025

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  • DOI: https://doi.org/10.3901/CJME.2015.0307.025

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