000012904 001__ 12904
000012904 005__ 20160920162655.0
000012904 04107 $$aeng
000012904 046__ $$k2016-09-05
000012904 100__ $$aDimitrovová, Z.
000012904 24500 $$aCritical velocity of a load moving on a beam supported by a foundation of finite depth

000012904 24630 $$n6.$$pInsights and Innovations in Structural Engineering, Mechanics and Computation
000012904 260__ $$bTaylor and Francis Group, London, UK
000012904 506__ $$arestricted
000012904 520__ $$2eng$$aIn this paper, the critical velocity of a uniformly moving load is analysed. It is assumed that the load is traversing an infinite beam supported by a finite depth foundation under plane strain condition. Analytical solution of the steady state deflection shape is derived. The critical velocity is then extracted by parametric analysis. Results obtained are compared with the previously published results of this author, where simplified plane models of the foundation were used. It is confirmed that there is an interaction between the beam and the foundation and thus the critical velocity is dependent on the mass ratio defined as the square root of the fraction of the foundation mass to the beam mass. For a low mass ratio, the critical velocity approaches the classical formula and for a higher mass ratio, it approaches the lowest wave-velocity of propagation in the foundation. There is only a small difference with respect to the previously published approximate formula for the critical velocity.

000012904 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012904 653__ $$a

000012904 7112_ $$aSixth International Conference on Structural Engineering, Mechanics and Computation$$cCape Town, South Africa$$d2016-09-05 / 2016-09-07$$gSEMC2016
000012904 720__ $$aDimitrovová, Z.
000012904 8560_ $$ffischerc@itam.cas.cz
000012904 8564_ $$s295007$$uhttp://invenio.itam.cas.cz/record/12904/files/352.pdf$$yOriginal version of the author's contribution as presented on CD, 352.pdf.
000012904 962__ $$r12552
000012904 980__ $$aPAPER