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

Nguyen Minh Nhan, Nguyen Thoi Trung, Nguyen Van Thanh, Luong Van Hai and Bui Xuan Thang ()
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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

HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 2014, vol. 4, issue 1, 26-37

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.

Keywords: train-track system; moving element method (MEM); Timoshenko beam theory; three node beam element; shear-locking phenomenon (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:bjw:techen:v:4:y:2014:i:1:p:26-37

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