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

Author

Listed:
  • Nguyen Minh Nhan

    (Division of Computational Mathematics and Engineering (CME), Institute for Computational Science (INCOS), Ton Duc Thang University, Vietnam)

  • 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, Vietnam)

  • Nguyen Van Thanh

    (Faculty of Civil Engineering, VNU-HCM University of Technology, Vietnam)

  • Luong Van Hai

    (Faculty of Civil Engineering, VNU-HCM University of Technology, Vietnam)

  • Bui Xuan Thang

    (Department of Mechanics, Faculty of Mathematics & Computer Science, VNU-HCM University of Science, Vietnam)

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.

Suggested Citation

  • Nguyen Minh Nhan & Nguyen Thoi Trung & Nguyen Van Thanh & Luong Van Hai & Bui Xuan Thang, 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, HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE, HO CHI MINH CITY OPEN UNIVERSITY, vol. 4(1), pages 26-37.
  • Handle: RePEc:bjw:techen:v:4:y:2014:i:1:p:26-37
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