A moving element method using timoshenko’s beam theory for dynamic analysis of train-track systems

Authors

  • Nguyen Minh Nhan
    Division of Computational Mathematics and Engineering (CME), Institute for Computational Science (INCOS), Ton Duc Thang University
  • Nguyen Thoi Trung
    Division of Computational Mathematics and Engineering (CME), Institute for Computational Science (INCOS), Ton Duc Thang University; Department of Mechanics, Faculty of Mathematics & Computer Science, VNU-HCM University of Science
  • Nguyen Van Thanh
    Faculty of Civil Engineering, VNU-HCM University of Technology
  • Luong Van Hai
    Faculty of Civil Engineering, VNU-HCM University of Technology
  • Bui Xuan Thang
    Department of Mechanics, Faculty of Mathematics & Computer Science, VNU-HCM University of Science

Keywords:

train-track system; moving element method (MEM); Timoshenko beam theory; three node beam element; shear-locking phenomenon

Abstract

The paper presents a dynamic analysis of train-track systems supported by viscoelastic foundations by combining Timoshenko’s beam theory and moving element method (MEM). In the proposed method, a three-node beam element is utilized to get a high order approximation for the deflection of Timoshenko beam. The reduced integral method is applied in order to avoid the shear-locking phenomenon when computing the shear strain energy of the rail beam. In addition, the behavior of train-track system with respect to time is deduced by using Newmark’s constant acceleration method. Numerical results show that the proposed method is free of shear locking and gives a good agreement with Koh et al.’s method using Euler-Bernoulli beam theory.

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References

Ang KK, Dai J. Response analysis of high-speed rail system accounting for abrupt change of foundation stiffness. Journal of Sound and Vibration. 2013;332(12):2954-70.

Bondar NG. Dynamic Calculations of Beams Subjected to a Moving Load. Issledovaniya po teorii sooruzhenii. 1954;6:11-23.

Chen YH, Huang YH, Shih CT. Response of an infinite Timoshenko beam on a viscoelastic foundation to a harmonic moving load. Journal of Sound and Vibration. 2001;241(5):809-24.

Chen YH, Huang YH. Dynamic stiffness of infinite Timoshenko beam on viscoelastic foundation in moving co-ordinate. International Journal for Numerical Methods in Engineering. 2000;48(1):1-18.

Frýba L. Vibration of solids and structures under moving loads. 3rd ed. ed. Thomas Telford: London; 1999.

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Received: 04-06-2020
Accepted: 04-06-2020
Published: 05-09-2014

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How to Cite

Nhan, N. M., Trung, N. T., Thanh, N. V., Hai, L. V., & Thang, B. X. (2014). A moving element method using timoshenko’s beam theory for dynamic analysis of train-track systems. HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 4(1), 26–37. Retrieved from https://journalofscience.ou.edu.vn/index.php/tech-en/article/view/413

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