A multi-axially coupled trailing arm bush design methodology with parallel optimisation

Zichen Liao, Zihao Yung, Yuan Li*, Xiaofu Liu*, Jason Zheng Jiang, Zixiao Wang, Mark S Graham, Brano Titurus, Tom L Hill, Gareth Tucker, David Crosbee, Malcolm Clive Smith, Neil Houghton, Heiko Müller, Sharon Odetunde

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

Wheel and rail surface damage caused on curved tracks can be reduced with a low Primary Yaw Stiffness (PYS). This can be achieved using hydro-rubber trailing arm bushes, without compromising passenger comfort and vehicle stability. However, the bush design proposed in the previous studies did not consider the cross-axis coupling characteristics, so it may be challenging to realise such designs physically. Another challenge lies in employing railway dynamics simulation software (e.g. Vampire® Pro) for suspension design: since the optimisation involves a large number of iterations, the optimal design identification process could be highly time-consuming. To address these challenges, this study presents a multi-axially coupled trailing arm bush design methodology, which constrains the static stiffness relationships across multiple axes based on empirical information. The methodology is integrated into a parallel optimisation routine in MATLAB®-Vampire® Pro co-simulation, significantly reducing computational time for multiple assessments. Compared to the non-parallel routine, the parallel implementation reduces computational time by over 78%. This paper presents a study on the design of a hydro-rubber bush for the Mark 4 coach using the proposed approach. The new design achieves a 54% reduction in PYS compared to the existing hydro-rubber bush, while still satisfying all critical performance constraints.
Original languageEnglish
Number of pages22
JournalVehicle System Dynamics: International Journal of Vehicle Mechanics and Mobility
DOIs
Publication statusPublished - 19 Nov 2025

Bibliographical note

Publisher Copyright:
© 2025 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • Wheel and rail surface damage
  • Primary suspension
  • Passive motion control
  • Computational efficiency
  • Optimisation

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