### Abstract

Vibrations induced by high-velocity train passing through environmental sensitive area are important issues to railway authorities. Research has been granted to resolve the environmental impact generated from vehicle-track interaction to the neighbor buildings. Models were established to simulate the vehicletrack interaction system which is the source of vibrations. Among them, Euler beam with finite length on elastic foundation subjected to moving loads is most commonly used to simulate the continuous track on site. The reason of modeling infinite length track with finite length model is to make solving possible by numerical analysis. However, the accuracy of analysis depends on the length of the model. If the length of the model is not long enough, the solution may be interfered by reflective waves from the boundary. Effective length, which is the shortest length that makes the result stable, may be determined with many parameters such as velocity, damping ratio, material stiffness, etc. Determination of "effective length" is the key for reliable results. Lacking of universal and efficient approach, trial-and-error was widely adopted to determine the effective length of models in the past research. A neat and efficient guideline was proposed based on the analytical solution of the model of Euler beam on elastic foundation subjected to a moving load with constant velocity. The accuracy and efficiency were discussed to justify the proposed approach.

Original language | English |
---|---|

Pages (from-to) | 245-258 |

Number of pages | 14 |

Journal | CMES - Computer Modeling in Engineering and Sciences |

Volume | 65 |

Issue number | 3 |

Publication status | Published - 2010 Nov 22 |

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### All Science Journal Classification (ASJC) codes

- Software
- Modelling and Simulation
- Computer Science Applications

### Cite this

*CMES - Computer Modeling in Engineering and Sciences*,

*65*(3), 245-258.

}

*CMES - Computer Modeling in Engineering and Sciences*, vol. 65, no. 3, pp. 245-258.

**Effective length of beam on elastic foundation under a moving load.** / Kuo, Chen-Ming; Huang, Cheng Hao.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Effective length of beam on elastic foundation under a moving load

AU - Kuo, Chen-Ming

AU - Huang, Cheng Hao

PY - 2010/11/22

Y1 - 2010/11/22

N2 - Vibrations induced by high-velocity train passing through environmental sensitive area are important issues to railway authorities. Research has been granted to resolve the environmental impact generated from vehicle-track interaction to the neighbor buildings. Models were established to simulate the vehicletrack interaction system which is the source of vibrations. Among them, Euler beam with finite length on elastic foundation subjected to moving loads is most commonly used to simulate the continuous track on site. The reason of modeling infinite length track with finite length model is to make solving possible by numerical analysis. However, the accuracy of analysis depends on the length of the model. If the length of the model is not long enough, the solution may be interfered by reflective waves from the boundary. Effective length, which is the shortest length that makes the result stable, may be determined with many parameters such as velocity, damping ratio, material stiffness, etc. Determination of "effective length" is the key for reliable results. Lacking of universal and efficient approach, trial-and-error was widely adopted to determine the effective length of models in the past research. A neat and efficient guideline was proposed based on the analytical solution of the model of Euler beam on elastic foundation subjected to a moving load with constant velocity. The accuracy and efficiency were discussed to justify the proposed approach.

AB - Vibrations induced by high-velocity train passing through environmental sensitive area are important issues to railway authorities. Research has been granted to resolve the environmental impact generated from vehicle-track interaction to the neighbor buildings. Models were established to simulate the vehicletrack interaction system which is the source of vibrations. Among them, Euler beam with finite length on elastic foundation subjected to moving loads is most commonly used to simulate the continuous track on site. The reason of modeling infinite length track with finite length model is to make solving possible by numerical analysis. However, the accuracy of analysis depends on the length of the model. If the length of the model is not long enough, the solution may be interfered by reflective waves from the boundary. Effective length, which is the shortest length that makes the result stable, may be determined with many parameters such as velocity, damping ratio, material stiffness, etc. Determination of "effective length" is the key for reliable results. Lacking of universal and efficient approach, trial-and-error was widely adopted to determine the effective length of models in the past research. A neat and efficient guideline was proposed based on the analytical solution of the model of Euler beam on elastic foundation subjected to a moving load with constant velocity. The accuracy and efficiency were discussed to justify the proposed approach.

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M3 - Article

VL - 65

SP - 245

EP - 258

JO - CMES - Computer Modeling in Engineering and Sciences

JF - CMES - Computer Modeling in Engineering and Sciences

SN - 1526-1492

IS - 3

ER -