Partner: Meir Shillor

Oakland University (US)

Ostatnie publikacje
1.Dyniewicz B., Bajer C.I., Kuttler K.L., Shillor M., Vibrations of a Gao beam subjected to a moving mass, Nonlinear Analysis: Real World Applications, ISSN: 1468-1218, DOI: 10.1016/j.nonrwa.2019.05.007, Vol.50, pp.342-364, 2019

Streszczenie:

This paper models, analyzes and simulates the vibrations of a nonlinear Gao beam that is subjected to a moving mass or a massless point-force. Such problems arise naturally in transportation systems such as trains or trams. The dynamics of the system as the mass or the force move on the beam are investigated numerically in the cases when the vibrations are about a buckled state, and in the cases when the mass is positive or vanishes. The simulations are compared to those of the Euler–Bernoulli linear beam and the differences are highlighted. It is seen that the linear beam may be used only when the loads are small, while the Gao beam allows for moderate loads. The simulations are based on a time-marching finite elements algorithm for the model that has been developed and implemented. The results of representative and interesting computer simulations are depicted. The existence of weak solutions of the model is established using a variational formulation of the problem and results about variational set-inclusions.

Słowa kluczowe:

Dynamic vibrations, Buckling of a Gao beam, Moving point-load

Afiliacje autorów:

Dyniewicz B.-IPPT PAN
Bajer C.I.-IPPT PAN
Kuttler K.L.-other affiliation
Shillor M.-Oakland University (US)
100p.
2.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, Vol.23, No.3, pp.461-472, 2018

Streszczenie:

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.

Słowa kluczowe:

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

Afiliacje autorów:

Bajer C.I.-IPPT PAN
Dyniewicz B.-IPPT PAN
Shillor M.-Oakland University (US)
25p.

Lista ostatnich monografii
1.
30
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