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Principles of Wheelset Hunting and Construction of Total Solution to Hunting

Received: 20 July 2021     Accepted: 2 August 2021     Published: 12 August 2021
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Abstract

Wheelset hunting is a motion with two degrees of freedom. The second degree of freedom of hunting is investigated in this paper. Rolling radius difference is commonly understood as the root cause of wheelset hunting. Normally, hunting will begin as soon as the truck begins to move. Rolling radius difference will initiate the hunting and can only be used to determine the configuration of the first quarter of a hunting cycle. Then a mechanism will come into exist to determine the configuration of the second quarter of the hunting cycle, which is exactly the same as the one of first quarter but in the opposite direction. The second half of the hunting cycle is a mirror of the first half. The information from wheelset hunting is too large and too complicated for people to understand and analyze. However, the radius of curvature of wheelset circular motion can be calculated exactly, especially at some special configurations, even though the radius of curvature of wheelset circular motion keeps changing in both magnitude and direction. Furthermore, comparison of the radii of curvature between hunting curve and a cosine curve shows that the curve for the wheelset in hunting motion is sinusoidal. This is proven mathematically in the paper. The limits in Klingel’s results were discussed. Due to the fact that Klingel’s results are unable to provide a strong theoretical base for further understanding the complicated dynamic characteristics caused by hunting, misleading in hunting is overwhelmed. After understanding the principles of wheelset hunting, three critical speeds in hunting and dynamic loading for truck design in three directions were calculated; wheelset hunting curve while curving was generated; wheelset dynamic interaction was analyzed and the question “Why trains stay on tracks” was answered correctly, just to name a few. Thus, a total solution to the hunting problems can be expected and was discussed in the paper.

Published in Engineering Physics (Volume 5, Issue 2)
DOI 10.11648/j.ep.20210502.12
Page(s) 29-39
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Wheelset Hunting Curve, Sinusoidal, Truck Hunting, Two Degrees of Freedom, Radius of Curvature, Rolling Radius Difference, Comparison, Total Solution to Hunting

References
[1] J. Y. Huang, “Dynamic Analysis for Railroad Truck Design”, Draft Paper, 2008 IEEE/ASME Joint Rail Conference, April 22-23, 2008 Wilmington, Delaware, USA.
[2] A. H. Wickens, “Fundamentals of Railway Vehicle Dynamics: Guidance and Stability”, Taylor & Francis e-Library, 2005.
[3] A. H. Wickens, Chapter 2 “A History of Railway Vehicle Dynamics”, Handbook of Railway Vehicle Dynamics, Edited by Simon Iwnicki, Taylor & Francis Group LLC, 2006.
[4] J. Y. Huang, “Nadal’s Limit (L/V ratio) to Wheel Climb and Two derailment Modes”, Engineering Physics. Vol. 5, No. 1, 2021, pp. 8-14. doi: 10.11648/j.ep.20210501. ISSN: 2640-1010 (Print); ISSN: 2640-1029 (Online). 12May 2021.
[5] J. Y. Huang, “The Boundary of Nadal’s Limit (L/V ratio) and Commencing Wheel Derailment for Railroad Truck”, Draft Paper, 2008 IEEE/ASME Joint Rail Conference, April 22-23, 2008 Wilmington, Delaware, USA.
[6] Bosso et al, “Mechatronic Modeling of Real-Time Wheel–Rail Contact”, 2013, ISBN 978-3-642-36245-3, http://www.springer.com/978-3-642-36245-3.
[7] J. Y. Huang, “Constraint on Angle of Attack During Curving of Railroad Truck”, Draft Paper, 2008 IEEE/ASME Joint Rail Conference, April 22-23, 2008 Wilmington, Delaware, USA.
[8] J. Y. Huang, “Analysis of Wheelset Hunting in Curving”, Company Research paper, High Tech Pressure Safety, USA, 2015.
[9] J. Y. Huang, “Truck Wheelset Interaction in Hunting”, Company Research paper, High Tech Pressure Safety, USA, 2015.
[10] J. Y. Huang, “Hunting Excitation and Response of a Truck--- Truck Dynamic Loading and Critical Speeds”, Company Research paper, High Tech Pressure Safety, USA, 2016.
[11] J. Y. Huang, “Sliding Friction and Rolling Friction of a Wheel”, Company Research paper, High Tech Pressure Safety, USA, 2017.
[12] J. Y. Huang, “Braking Behaviors and Calculations for Railroad Wheel”, Company Research paper, High Tech Pressure Safety, USA, 2017.
[13] J. Y. Huang, “Balance Velocity of Tapered Wheelset and Hunting Eliminator”, Presentation, 2021 IEEE/ASME Joint Rail Conference, USA.
[14] J. Y. Huang, “Coefficients of Friction --- Static versus Dynamic”, 2020 IEEE/ASME Joint Rail Conference, St. Louis, Missouri, USA.
[15] B. Shayak, “Why trains stay on tracks”, American Journal of Physics 85, 178 (2017); https://doi.org/10.1119/1.4973370.
[16] J. Gerlici1 eta, “Calculated estimation of railway wheels equivalent conicity influence on critical speed of railway passenger car”, MATEC Web of Conferences 157, 03006 (2018), https://doi.org/10.1051/matecconf/201815703006.
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  • APA Style

    Jack Youqin Huang. (2021). Principles of Wheelset Hunting and Construction of Total Solution to Hunting. Engineering Physics, 5(2), 29-39. https://doi.org/10.11648/j.ep.20210502.12

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    ACS Style

    Jack Youqin Huang. Principles of Wheelset Hunting and Construction of Total Solution to Hunting. Eng. Phys. 2021, 5(2), 29-39. doi: 10.11648/j.ep.20210502.12

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    AMA Style

    Jack Youqin Huang. Principles of Wheelset Hunting and Construction of Total Solution to Hunting. Eng Phys. 2021;5(2):29-39. doi: 10.11648/j.ep.20210502.12

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  • @article{10.11648/j.ep.20210502.12,
      author = {Jack Youqin Huang},
      title = {Principles of Wheelset Hunting and Construction of Total Solution to Hunting},
      journal = {Engineering Physics},
      volume = {5},
      number = {2},
      pages = {29-39},
      doi = {10.11648/j.ep.20210502.12},
      url = {https://doi.org/10.11648/j.ep.20210502.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ep.20210502.12},
      abstract = {Wheelset hunting is a motion with two degrees of freedom. The second degree of freedom of hunting is investigated in this paper. Rolling radius difference is commonly understood as the root cause of wheelset hunting. Normally, hunting will begin as soon as the truck begins to move. Rolling radius difference will initiate the hunting and can only be used to determine the configuration of the first quarter of a hunting cycle. Then a mechanism will come into exist to determine the configuration of the second quarter of the hunting cycle, which is exactly the same as the one of first quarter but in the opposite direction. The second half of the hunting cycle is a mirror of the first half. The information from wheelset hunting is too large and too complicated for people to understand and analyze. However, the radius of curvature of wheelset circular motion can be calculated exactly, especially at some special configurations, even though the radius of curvature of wheelset circular motion keeps changing in both magnitude and direction. Furthermore, comparison of the radii of curvature between hunting curve and a cosine curve shows that the curve for the wheelset in hunting motion is sinusoidal. This is proven mathematically in the paper. The limits in Klingel’s results were discussed. Due to the fact that Klingel’s results are unable to provide a strong theoretical base for further understanding the complicated dynamic characteristics caused by hunting, misleading in hunting is overwhelmed. After understanding the principles of wheelset hunting, three critical speeds in hunting and dynamic loading for truck design in three directions were calculated; wheelset hunting curve while curving was generated; wheelset dynamic interaction was analyzed and the question “Why trains stay on tracks” was answered correctly, just to name a few. Thus, a total solution to the hunting problems can be expected and was discussed in the paper.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Principles of Wheelset Hunting and Construction of Total Solution to Hunting
    AU  - Jack Youqin Huang
    Y1  - 2021/08/12
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ep.20210502.12
    DO  - 10.11648/j.ep.20210502.12
    T2  - Engineering Physics
    JF  - Engineering Physics
    JO  - Engineering Physics
    SP  - 29
    EP  - 39
    PB  - Science Publishing Group
    SN  - 2640-1029
    UR  - https://doi.org/10.11648/j.ep.20210502.12
    AB  - Wheelset hunting is a motion with two degrees of freedom. The second degree of freedom of hunting is investigated in this paper. Rolling radius difference is commonly understood as the root cause of wheelset hunting. Normally, hunting will begin as soon as the truck begins to move. Rolling radius difference will initiate the hunting and can only be used to determine the configuration of the first quarter of a hunting cycle. Then a mechanism will come into exist to determine the configuration of the second quarter of the hunting cycle, which is exactly the same as the one of first quarter but in the opposite direction. The second half of the hunting cycle is a mirror of the first half. The information from wheelset hunting is too large and too complicated for people to understand and analyze. However, the radius of curvature of wheelset circular motion can be calculated exactly, especially at some special configurations, even though the radius of curvature of wheelset circular motion keeps changing in both magnitude and direction. Furthermore, comparison of the radii of curvature between hunting curve and a cosine curve shows that the curve for the wheelset in hunting motion is sinusoidal. This is proven mathematically in the paper. The limits in Klingel’s results were discussed. Due to the fact that Klingel’s results are unable to provide a strong theoretical base for further understanding the complicated dynamic characteristics caused by hunting, misleading in hunting is overwhelmed. After understanding the principles of wheelset hunting, three critical speeds in hunting and dynamic loading for truck design in three directions were calculated; wheelset hunting curve while curving was generated; wheelset dynamic interaction was analyzed and the question “Why trains stay on tracks” was answered correctly, just to name a few. Thus, a total solution to the hunting problems can be expected and was discussed in the paper.
    VL  - 5
    IS  - 2
    ER  - 

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  • High Tech Pressure Safety, Glen Carbon, Illinois, USA

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