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Dynamic Analysis of Cantilever Structure for Catenary System

Received: 10 May 2021     Accepted: 24 May 2021     Published: 3 June 2021
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Abstract

Structural dynamics analysis is widely used in the fields of civil engineering, automobile manufacturing industry, Aerospace industry, and construction machinery. It is rarely applied in the railway transportation industry, especially the catenary arm structure. In this paper, a dynamic analysis of the cantilever structure is carried out, and the natural frequency of the cantilever structure is obtained. Through research, the frequency range that can cause the resonance of the cantilever structure is found and compared with the structural vibration frequency caused by the external load in the actual working condition. For this purpose, a finite element model of cantilever structure was created based on engineering practice. Static analysis was done by using finite element method to test the model’s strength and stiffness. Then a dynamic model was made and modal analysis was done in order to get the first ten natural frequencies and corresponding modes. Resonance frequency was got by taking harmonic response analysis under the influence of external load. After all of these, a conclusion was made and the overall structure of the resonance phenomenon will not occur in actual situation which coincides with engineering actuality. It provides theoretical support for engineering practice. And also provides a theoretical basis for the follow-up structural anti-loose research.

Published in American Journal of Traffic and Transportation Engineering (Volume 6, Issue 3)
DOI 10.11648/j.ajtte.20210603.11
Page(s) 52-57
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

Finite Element Method, Nature Frequency, Static Analysis, Dynamic Analysis, Cantilever Structure

References
[1] Xiao S, Luo Y, Wu J, et al. An Investigation into the Characteristics of a Novel Rotatable Pantograph Catenary System for High-Speed Trains [J]. Journal of Electrical Engineering and Technology, 2021, 16 (7): 1-10.
[2] Li M, Ma M, Cao Z, et al. Dynamic response analysis of train-induced vibration impact on the Probhutaratna pagoda in Beijing [J]. Earthquake Engineering and Engineering Vibration, 2021, 20 (1): 223-243.
[3] AntunesP, J Ambrósio, Pombo J, et al. A new methodology to study the pantograph–catenary dynamics in curved railway tracks [J]. Vehicle System Dynamics, 2019: 1-28.
[4] Yang Y, Wu Q. WITHDRAWN: Analysis of dynamic fracture mechanics parameters of one-point bend specimens based on modified Timoshenko's beam theory [J]. International Journal of Pressure Vessels & Piping, 2016: S0308016116300539.
[5] El-Shabrawy M M, Abdeen M, Nassar M, et al. Analysis of Tapered Timoshenko and Euler-Bernoulli Beams on an Elastic Foundation with Moving Loads [J]. Journal of Mathematics, 2021.
[6] HhA, Tya B, Le V, et al. Dynamic and static isogeometric analysis for laminated Timoshenko curved microbeams [J]. Engineering Analysis with Boundary Elements, 2021, 128: 90-104.
[7] Terzi V G. Soil-structure-interaction effects on the flexural vibrations of a cantilever beam [J]. Applied Mathematical Modelling, 2021.
[8] DSA Júnior, Ramos A, Freitas M M. Energy decay for damped Shear beam model and new facts related to the classical Timoshenko system [J]. Applied Mathematics Letters, 2021, 120(41/245): 107324.
[9] Rodrigues M, Burgos R B, Martha L F. A Unified Approach to the Timoshenko 3D Beam-Column Element Tangent Stiffness Matrix Considering Higher-Order Terms in the Strain Tensor and Large Rotations [J]. International Journal of Solids and Structures, 2021.
[10] TrcfA, Atb B. Dynamic analysis of failure paths of truss structures: Benchmark examples including material degradation [J]. Mechanical Systems and Signal Processing, 158.
[11] C S X Z A B, D C W B, C Z Z S A B. Engineering analysis of the dynamic characteristics of an electrical jacket platform of an offshore wind farm under seismic loads [J]. Applied Ocean Research, 112.
[12] TttA, Qhpb C, Ntb C. Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method [J]. Defence Technology, 2020, 17(6).
[13] Ssbca B, Srp B, Bka C. Modal testing and evaluation of cracks on cantilever beam using mode shape curvatures and natural frequencies [J]. Structures, 2021, 32: 1386-1397.
[14] Do V D, Le T P, Beakou A. Operational modal analysis of mechanical systems using transmissibility functions in the presence of harmonics [J]. Journal of Science and Technology in Civil Engineering (STCE) - NUCE, 2019, 13 (3): 1-14.
[15] Hiroaki K, Hayasaka K, Watanabe M. Frequency response of a cantilevered rectangular sheet under harmonic forced excitation in three-dimensional uniform flow [J]. Journal of Fluids and Structures, 103.
[16] Cruceanu I C, Sorohan T. Determination of the Harmonic Response of a Railway Wheelset using the Finite Element Analysis Method[J]. Procedia Manufacturing, 2020, 46:173-179.
Cite This Article
  • APA Style

    Li Shaopeng. (2021). Dynamic Analysis of Cantilever Structure for Catenary System. American Journal of Traffic and Transportation Engineering, 6(3), 52-57. https://doi.org/10.11648/j.ajtte.20210603.11

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    ACS Style

    Li Shaopeng. Dynamic Analysis of Cantilever Structure for Catenary System. Am. J. Traffic Transp. Eng. 2021, 6(3), 52-57. doi: 10.11648/j.ajtte.20210603.11

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    AMA Style

    Li Shaopeng. Dynamic Analysis of Cantilever Structure for Catenary System. Am J Traffic Transp Eng. 2021;6(3):52-57. doi: 10.11648/j.ajtte.20210603.11

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  • @article{10.11648/j.ajtte.20210603.11,
      author = {Li Shaopeng},
      title = {Dynamic Analysis of Cantilever Structure for Catenary System},
      journal = {American Journal of Traffic and Transportation Engineering},
      volume = {6},
      number = {3},
      pages = {52-57},
      doi = {10.11648/j.ajtte.20210603.11},
      url = {https://doi.org/10.11648/j.ajtte.20210603.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtte.20210603.11},
      abstract = {Structural dynamics analysis is widely used in the fields of civil engineering, automobile manufacturing industry, Aerospace industry, and construction machinery. It is rarely applied in the railway transportation industry, especially the catenary arm structure. In this paper, a dynamic analysis of the cantilever structure is carried out, and the natural frequency of the cantilever structure is obtained. Through research, the frequency range that can cause the resonance of the cantilever structure is found and compared with the structural vibration frequency caused by the external load in the actual working condition. For this purpose, a finite element model of cantilever structure was created based on engineering practice. Static analysis was done by using finite element method to test the model’s strength and stiffness. Then a dynamic model was made and modal analysis was done in order to get the first ten natural frequencies and corresponding modes. Resonance frequency was got by taking harmonic response analysis under the influence of external load. After all of these, a conclusion was made and the overall structure of the resonance phenomenon will not occur in actual situation which coincides with engineering actuality. It provides theoretical support for engineering practice. And also provides a theoretical basis for the follow-up structural anti-loose research.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Dynamic Analysis of Cantilever Structure for Catenary System
    AU  - Li Shaopeng
    Y1  - 2021/06/03
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajtte.20210603.11
    DO  - 10.11648/j.ajtte.20210603.11
    T2  - American Journal of Traffic and Transportation Engineering
    JF  - American Journal of Traffic and Transportation Engineering
    JO  - American Journal of Traffic and Transportation Engineering
    SP  - 52
    EP  - 57
    PB  - Science Publishing Group
    SN  - 2578-8604
    UR  - https://doi.org/10.11648/j.ajtte.20210603.11
    AB  - Structural dynamics analysis is widely used in the fields of civil engineering, automobile manufacturing industry, Aerospace industry, and construction machinery. It is rarely applied in the railway transportation industry, especially the catenary arm structure. In this paper, a dynamic analysis of the cantilever structure is carried out, and the natural frequency of the cantilever structure is obtained. Through research, the frequency range that can cause the resonance of the cantilever structure is found and compared with the structural vibration frequency caused by the external load in the actual working condition. For this purpose, a finite element model of cantilever structure was created based on engineering practice. Static analysis was done by using finite element method to test the model’s strength and stiffness. Then a dynamic model was made and modal analysis was done in order to get the first ten natural frequencies and corresponding modes. Resonance frequency was got by taking harmonic response analysis under the influence of external load. After all of these, a conclusion was made and the overall structure of the resonance phenomenon will not occur in actual situation which coincides with engineering actuality. It provides theoretical support for engineering practice. And also provides a theoretical basis for the follow-up structural anti-loose research.
    VL  - 6
    IS  - 3
    ER  - 

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Author Information
  • Institute of Electrification, China Railway Design Corporation, Tianjin, China

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