TY - JOUR
T1 - New semi-analytical solution for a uniformly moving mass on a beam on a two-parameter visco-elastic foundation
AU - Dimitrovová, Zuzana
N1 - sem pdf conforme despacho.
FCT, through IDMEC, under LAETA, project UID/EMS/50022/2013.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - In this paper a new semi-analytical solution for the moving mass problem is presented. Firstly, the problem of a mass traversing a finite beam on an elastic foundation is reviewed and some new aspects are added. Then, the new semi-analytical solution is deduced for an infinite beam. The semi-analytical solution of the displacement under the mass is derived with the help of integral transforms and the full deflection shape is obtained by linking together two semi-infinite beams. An iterative procedure is suggested for the determination of the frequency of the oscillation induced by the moving mass. Results deduced for infinite beams are confirmed by analysis of long finite beams, with the help of derivations given in the first part of this paper. Convergence analysis on finite beams is also presented, and, in addition, the effects of the normal force, of the harmonic component of the vertical force and of the foundation damping are discussed.
AB - In this paper a new semi-analytical solution for the moving mass problem is presented. Firstly, the problem of a mass traversing a finite beam on an elastic foundation is reviewed and some new aspects are added. Then, the new semi-analytical solution is deduced for an infinite beam. The semi-analytical solution of the displacement under the mass is derived with the help of integral transforms and the full deflection shape is obtained by linking together two semi-infinite beams. An iterative procedure is suggested for the determination of the frequency of the oscillation induced by the moving mass. Results deduced for infinite beams are confirmed by analysis of long finite beams, with the help of derivations given in the first part of this paper. Convergence analysis on finite beams is also presented, and, in addition, the effects of the normal force, of the harmonic component of the vertical force and of the foundation damping are discussed.
KW - Finite, infinite and semi-infinite beams
KW - Harmonic load component
KW - Mass-induced frequency
KW - Moving mass
KW - Normal force
KW - Semi-analytical solution
KW - Transverse vibrations
UR - http://www.scopus.com/inward/record.url?scp=84995426841&partnerID=8YFLogxK
U2 - 10.1016/j.ijmecsci.2016.08.025
DO - 10.1016/j.ijmecsci.2016.08.025
M3 - Article
AN - SCOPUS:84995426841
SN - 0020-7403
VL - 127
SP - 142
EP - 162
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
ER -