Vibrations of a track caused by variation of the foundation stiffness

Probabilistic Engineering Mechanics

Volumn 18, Issue 2, 2003, Pages 171-184

  Andersen, Lars ^a   Nielsen, Søren R K ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Finite elements; Perturbation approach; Uncertain parameters

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES; STIFFNESS; VEHICLES;

SHEAR LAYERS;

VIBRATIONS (MECHANICAL);

EID: 0038577150     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-8920(03)00012-2     Document Type: Article

References (13)

1. Dieterman H.A., Metrikine A. The equivalent stiffness of a half-space interacting with a beam. Critical velocities of a moving load along the beam. Eur J Mech, A/Solids. 15:(1):1996;67-90.
2. Metrikine A., Popp K. Steady-state vibrations of an elastic beam on a visco-elastic layer under a moving load. Arch Appl Mech. 70:2000;399-408.
3. Vallabhan C.V.G., Das Y.C. Modified Vlasov model for beams on elastic foundation. J Geotech Engng. 117:1991;956-966.
4. Krenk S. Mechanics and analysis of beams, columns and cables. 2000;Polyteknisk Press, Copenhagen.
5. Oscarsson J. Dynamic train/track interaction-linear and non-linear track models with property scatter. PhD Thesis. Department of Solid Mechanics, Chalmers University of Technology, Göteborg; 2001.
6. Yoshimura T., Hino J., Katama T., Ananthanarayana N. Random vibration of a non-linear beam subjected to a moving load: a finite element analysis. J Sound Vib. 122:(2):1988;317-329.
7. Frýba L., Nakagiri S., Yoshikawa N. Stochastic finite elements for a beam on a random foundation with uncertain damping under a moving force. J Sound Vib. 163:(1):1993;31-45.
8. Muscolino G., Ricciardi G., Impollonia N. Improved dynamic analysis of structures with mechanical uncertainties under deterministic input. Probab Engng Mech. 15:2000;199-212.
9. Andersen L., Nielsen S.R.K., Iwankiewicz R. Vehicle moving along an infinite Euler beam with random surface irregularities on a Kelvin foundation. ASME J Appl Mech. 69:2002;69-75.
10. Andersen L., Nielsen S.R.K., Kirkegaard P.H. Finite element modelling of infinite Euler beams on Kelvin foundations exposed to moving loads in convected co-ordinates. J Sound Vib. 241:(4):2001;587-604.
11. Lin Y.K. Probabilistic theory of structural dynamics. 1967;McGraw-Hill, New York.
12. Ottosen N.S., Petersson H. Introduction to the finite element method. 1992;Prentice Hall, London.
13. Newmark NM. A method of computation for structural dynamics. ASCE J Engng Mech Div 1959;85(EM3):67-94.