Numerical bifurcation analysis of multimode impact oscillations between a pantograph and a rigid conductor line

Kiyotaka Yamashita, Tomoaki Nakayama, Toshihiko Sugiura, Hiroshi Yabuno

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with the numerical bifurcation analysis of the contact loss between a pantograph and an overhead rigid conductor line in a railway current collection system. In the previous study, we modeled this problem as impact oscillations of an intermediate spring-supported beam excited by an oscillating plate. We have already derived the modal interaction relationship equations that describe the velocities immediately after an impact as functions of the velocities before impact for each vibration mode. A numerical calculation using these relationship equations was performed to clarify the impact oscillations with multiple vibration modes. In this paper, we propose a numerical technique based on maps that transform the state of the system at the impact to the subsequent state at the next impact. This numerical method produces stability analyses of the fixed points of the map that describes an impact oscillation with multiple modes. These results can differ surprisingly from the expectations based on a single-mode solution. These results are compared with experiments undertaken in our laboratory, utilizing a thin stainless steel beam. The typical features of impact oscillations, which were theoretically predicted, were confirmed qualitatively.

Original languageEnglish
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages955-962
Number of pages8
Volume1
EditionPARTS A AND B
DOIs
Publication statusPublished - 2012
EventASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States
Duration: 2012 Aug 122012 Aug 12

Other

OtherASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
CountryUnited States
CityChicago, IL
Period12/8/1212/8/12

Fingerprint

Pantograph
Pantographs
Bifurcation Analysis
Conductor
Numerical Analysis
Oscillation
Line
Convergence of numerical methods
Numerical methods
Stainless steel
Experiments
Stainless Steel
Single Mode
Railway
Numerical Techniques
Numerical Calculation
Immediately
Fixed point
Numerical Methods
Contact

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modelling and Simulation

Cite this

Yamashita, K., Nakayama, T., Sugiura, T., & Yabuno, H. (2012). Numerical bifurcation analysis of multimode impact oscillations between a pantograph and a rigid conductor line. In Proceedings of the ASME Design Engineering Technical Conference (PARTS A AND B ed., Vol. 1, pp. 955-962) https://doi.org/10.1115/DETC2012-70360

Numerical bifurcation analysis of multimode impact oscillations between a pantograph and a rigid conductor line. / Yamashita, Kiyotaka; Nakayama, Tomoaki; Sugiura, Toshihiko; Yabuno, Hiroshi.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 1 PARTS A AND B. ed. 2012. p. 955-962.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yamashita, K, Nakayama, T, Sugiura, T & Yabuno, H 2012, Numerical bifurcation analysis of multimode impact oscillations between a pantograph and a rigid conductor line. in Proceedings of the ASME Design Engineering Technical Conference. PARTS A AND B edn, vol. 1, pp. 955-962, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012, Chicago, IL, United States, 12/8/12. https://doi.org/10.1115/DETC2012-70360
Yamashita K, Nakayama T, Sugiura T, Yabuno H. Numerical bifurcation analysis of multimode impact oscillations between a pantograph and a rigid conductor line. In Proceedings of the ASME Design Engineering Technical Conference. PARTS A AND B ed. Vol. 1. 2012. p. 955-962 https://doi.org/10.1115/DETC2012-70360
Yamashita, Kiyotaka ; Nakayama, Tomoaki ; Sugiura, Toshihiko ; Yabuno, Hiroshi. / Numerical bifurcation analysis of multimode impact oscillations between a pantograph and a rigid conductor line. Proceedings of the ASME Design Engineering Technical Conference. Vol. 1 PARTS A AND B. ed. 2012. pp. 955-962
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