Dynamic Analysis of Multi-layer Beam Structure of Rail Track System Under a Moving Load Based on Mode Decomposition

2021 ◽  
Author(s):  
Lizhong Jiang ◽  
Chao Liu ◽  
Linxin Peng ◽  
Jianwei Yan ◽  
Ping Xiang
Keyword(s):  
Dynamic Analysis ◽  
Moving Load ◽  
Beam Structure ◽  
Rail Track ◽  
Mode Decomposition ◽  
Track System

scholarly journals Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Yuanchang Chen ◽  
Bangji Zhang ◽  
Shengzhao Chen
Keyword(s):  
Dynamic Analysis ◽  
Model Reduction ◽  
Moving Load ◽  
Single Point ◽  
Point Load ◽  
Computational Time ◽  
Small Scale ◽  
Response Analysis ◽  
Computational Accuracy ◽  
Beam Structure

This study presents a technique that uses a model reduction method for the dynamic response analysis of a beam structure to a moving load, which can be modeled either as a moving point force or as a moving body. The nature of the dedicated condensation method tailored to address the moving load case is that the master degrees of freedom are reselected, and the coefficient matrices of the condensed model are recalculated as the load travels from one element to another. Although this process increases computational burden, the overall computational time is still greatly reduced because of the small scale of motion equations. To illustrate and validate the methodology, the technique is initially applied to a simply supported beam subjected to a single-point load moving along the beam. Subsequently, the technique is applied to a practical model for wheel-rail interaction dynamic analysis in railway engineering. Numerical examples show that the condensation model can solve the moving load problem faster than an analytical model or its full finite element model. The proposed model also exhibits high computational accuracy.

Dynamic analysis of an arch due to a moving load

2004 ◽  
Vol 269 (3-5) ◽  
pp. 511-534 ◽  
Author(s):  
Jong-Shyong Wu ◽  
Lieh-Kwang Chiang
Keyword(s):  
Dynamic Analysis ◽  
Moving Load

scholarly journals Dynamic Analysis of Elastically Supported Cracked Beam Subjected to a Concentrated Moving Load

2016 ◽  
Vol 13 (1) ◽  
pp. 175-200 ◽  
Author(s):  
Hasan Ozturk ◽  
Zeki Kiral ◽  
Binnur Goren Kiral
Keyword(s):  
Dynamic Analysis ◽  
Moving Load ◽  
Cracked Beam ◽  
Elastically Supported

A New Three-Dimensional Moving Timoshenko Beam Element for Moving Load Problem Analysis

2020 ◽  
Vol 142 (3) ◽  
Author(s):  
Yan Xu ◽  
Weidong Zhu ◽  
Wei Fan ◽  
Caijing Yang ◽  
Weihua Zhang
Keyword(s):  
Dynamic Analysis ◽  
Coordinate System ◽  
Timoshenko Beam ◽  
Moving Load ◽  
Three Dimensional ◽  
Beam Element ◽  
Superposition Method ◽  
Reference Coordinate System ◽  
Current Formulation ◽  
Timoshenko Beam Element

Abstract A new three-dimensional moving Timoshenko beam element is developed for dynamic analysis of a moving load problem with a very long beam structure. The beam has small deformations and rotations, and bending, shear, and torsional deformations of the beam are considered. Since the dynamic responses of the beam are concentrated on a small region around the moving load and most of the long beam is at rest, owing to the damping effect, the beam is truncated with a finite length. A control volume that is attached to the moving load is introduced, which encloses the truncated beam, and a reference coordinate system is established on the left end of the truncated beam. The arbitrary Lagrangian–Euler method is used to describe the relationship of the position of a particle on the beam between the reference coordinate system and the global coordinate system. The truncated beam is spatially discretized using the current beam elements. Governing equations of a moving element are derived using Lagrange’s equations. While the whole beam needs to be discretized in the finite element method or modeled in the modal superposition method (MSM), only the truncated beam is discretized in the current formulation, which greatly reduces degrees-of-freedom and increases the efficiency. Furthermore, the efficiency of the present beam element is independent of the moving load speed, and the critical or supercritical speed range of the moving load can be analyzed through the present method. After the validation of the current formulation, a dynamic analysis of three-dimensional train–track interaction with a non-ballasted track is conducted. Results are in excellent agreement with those from the commercial software simpack where the MSM is used, and the calculation time of the current formulation is one-third of that of simpack. The current beam element is accurate and more efficient than the MSM for moving load problems of long three-dimensional beams. The derivation of the current beam element is straightforward, and the beam element can be easily extended for various other moving load problems.

Frequency-Dependent Analytical Model for Ballasted Rail-Track Systems Subjected to Moving Load

2019 ◽  
Vol 19 (4) ◽  
pp. 04019016 ◽  
Author(s):  
Aditi Kumawat ◽  
Prishati Raychowdhury ◽  
Sarvesh Chandra
Keyword(s):  
Analytical Model ◽  
Moving Load ◽  
Frequency Dependent ◽  
Rail Track
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