### Abstract

This paper investigates the finite element analysis of an elastic beam structure subjected to a moving distributed load. The equations of motion are derived for a moving distributed mass train, of some mass per unit length, which is assumed to always remain in contact with the beam support structure. The finite element formulation is verified for several classes of moving load problems (i.e. a point force, a point mass, and a continuous load). Results for the proposed formulation are shown to be in excellent agreement with those available from the literature for specialised cases (i.e. a simply supported beam subjected to a moving point force, moving point mass, and moving continuous force train traveling at a constant velocity). A parametric evaluation of elastic beams subjected to a moving distributed mass train is performed. The effects of velocity, mass and train length on the beam's dynamic response are evaluated with respect to the beam stiffness and mass. Impact factors at the beam center are shown to increase with the velocity and mass of the moving mass train. The impact factors are also more sensitive to velocity than the mass distribution.

Original language | English (US) |
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Pages (from-to) | 31-51 |

Number of pages | 21 |

Journal | Mechanical Systems and Signal Processing |

Volume | 13 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1999 |

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### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Signal Processing
- Civil and Structural Engineering
- Aerospace Engineering
- Mechanical Engineering
- Computer Science Applications

### Cite this

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*Mechanical Systems and Signal Processing*, vol. 13, no. 1, pp. 31-51. https://doi.org/10.1006/S0888-3270(99)80003-X

**Finite element analysis of an elastic beam structure subjected to a moving distributed mass train.** / Rieker, J. R.; Trethewey, Martin Wesley.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Finite element analysis of an elastic beam structure subjected to a moving distributed mass train

AU - Rieker, J. R.

AU - Trethewey, Martin Wesley

PY - 1999/1/1

Y1 - 1999/1/1

N2 - This paper investigates the finite element analysis of an elastic beam structure subjected to a moving distributed load. The equations of motion are derived for a moving distributed mass train, of some mass per unit length, which is assumed to always remain in contact with the beam support structure. The finite element formulation is verified for several classes of moving load problems (i.e. a point force, a point mass, and a continuous load). Results for the proposed formulation are shown to be in excellent agreement with those available from the literature for specialised cases (i.e. a simply supported beam subjected to a moving point force, moving point mass, and moving continuous force train traveling at a constant velocity). A parametric evaluation of elastic beams subjected to a moving distributed mass train is performed. The effects of velocity, mass and train length on the beam's dynamic response are evaluated with respect to the beam stiffness and mass. Impact factors at the beam center are shown to increase with the velocity and mass of the moving mass train. The impact factors are also more sensitive to velocity than the mass distribution.

AB - This paper investigates the finite element analysis of an elastic beam structure subjected to a moving distributed load. The equations of motion are derived for a moving distributed mass train, of some mass per unit length, which is assumed to always remain in contact with the beam support structure. The finite element formulation is verified for several classes of moving load problems (i.e. a point force, a point mass, and a continuous load). Results for the proposed formulation are shown to be in excellent agreement with those available from the literature for specialised cases (i.e. a simply supported beam subjected to a moving point force, moving point mass, and moving continuous force train traveling at a constant velocity). A parametric evaluation of elastic beams subjected to a moving distributed mass train is performed. The effects of velocity, mass and train length on the beam's dynamic response are evaluated with respect to the beam stiffness and mass. Impact factors at the beam center are shown to increase with the velocity and mass of the moving mass train. The impact factors are also more sensitive to velocity than the mass distribution.

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U2 - 10.1006/S0888-3270(99)80003-X

DO - 10.1006/S0888-3270(99)80003-X

M3 - Article

AN - SCOPUS:0032648172

VL - 13

SP - 31

EP - 51

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

SN - 0888-3270

IS - 1

ER -