TY - JOUR

T1 - Critical velocity of a uniformly moving load

AU - Dimitrovová, Z.

AU - Rodrigues, A. F. S.

N1 - The authors greatly appreciate the support from Fundacao para a Ciencia e a Tecnologia, of the Portuguese Ministry of Science and Technology under the Grant PTDC/EME-PME/01419/2008: "SMARTRACK - SysteM dynamics Assessment of Railway TRACKs: a vehicle-infrastructure integrated approach".

PY - 2012

Y1 - 2012

N2 - An analysis of the critical velocity of a load moving uniformly along a beam on a visco-elastic foundation composed of one or two sub-domains is presented. The case study addressed is related to high-speed railway lines. A new formulation of the governing equations in the first order state-space form is proposed for the Timoshenko-Rayleigh beam. Differences in results obtained by Euler-Bernoulli and Timoshenko-Rayleigh beam theories are analysed. It is concluded that, in the case study considered, these differences are negligible. Critical velocities are obtained for load travelling on finite and infinite beams, with and without damping. A new relationship between the viscous damping coefficient and the modal damping ratio is derived and justified. Predictions about critical velocities established in [1] are confirmed numerically for cases not considered in [1], i.e. in cases when the load passes on infinite beams and when damping is considered.

AB - An analysis of the critical velocity of a load moving uniformly along a beam on a visco-elastic foundation composed of one or two sub-domains is presented. The case study addressed is related to high-speed railway lines. A new formulation of the governing equations in the first order state-space form is proposed for the Timoshenko-Rayleigh beam. Differences in results obtained by Euler-Bernoulli and Timoshenko-Rayleigh beam theories are analysed. It is concluded that, in the case study considered, these differences are negligible. Critical velocities are obtained for load travelling on finite and infinite beams, with and without damping. A new relationship between the viscous damping coefficient and the modal damping ratio is derived and justified. Predictions about critical velocities established in [1] are confirmed numerically for cases not considered in [1], i.e. in cases when the load passes on infinite beams and when damping is considered.

KW - Euler-Bernoulli beam theory

KW - Maximum displacement

KW - Modal expansion

KW - Non-homogeneous foundation

KW - Timoshenko-Rayleigh beam theory

KW - Transverse vibration

UR - http://www.scopus.com/inward/record.url?scp=84928648944&partnerID=8YFLogxK

U2 - 10.1016/j.advengsoft.2012.02.011

DO - 10.1016/j.advengsoft.2012.02.011

M3 - Article

AN - SCOPUS:84928648944

VL - 50

SP - 44

EP - 56

JO - Advances in Engineering Software

JF - Advances in Engineering Software

SN - 0965-9978

IS - 1

ER -