Partner: Meir Shillor

Oakland University (US)

Recent publications
1.Bajer C.I., Dyniewicz B., Shillor M., A Gao beam subjected to a moving inertial point load, Mathematics and Mechanics of Solids, ISSN: 1081-2865, DOI: 10.1177/1081286517718229, pp.1-12, 2017

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.


Gao beam, moving inertial point load, Finite Element simulations, beam vibration

Dyniewicz B.-IPPT PAN
Shillor M.-Oakland University (US)

List of recent monographs
Shillor M., Sofonea M., Telega J.J., Models and Analysis of Quasistatic Contact, Variational Methods, Springer-Verlag Berlin Heidelberg, Series: Lecture Notes in Physics, 655, pp.1-239, 2004