A Gao beam subjected to a moving inertial point load.

*(English)*Zbl 1404.74058Summary: A model for the dynamics of a Gao elastic or viscoelastic nonlinear beam that is subject to a horizontally moving vertical point-force is modeled and computationally studied. In particular, the behavior and vibrations of the beam as the mass is moving on it is investigated. Such problems arise naturally in transportation systems with rails. A time-marching finite element numerical algorithm for the problem is developed and implemented. Results of representative simulations are depicted and compared to the behavior of a linear Euler beam with a moving mass.

##### MSC:

74H45 | Vibrations in dynamical problems in solid mechanics |

74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |

74S05 | Finite element methods applied to problems in solid mechanics |

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\textit{C. I. Bajer} et al., Math. Mech. Solids 23, No. 3, 461--472 (2018; Zbl 1404.74058)

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##### References:

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