Analytical study on the dynamic displacement response of a curved track subjected to moving loads

• Published in: Journal of Zhejiang University. A. Science Vol. 14; no. 12; pp. 867 - 879
• Main Authors: Li, Ke-fei, Liu, Wei-ning, Markine, Valeri, Han, Zhi-wei
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01-12-2013
• Subjects: Civil Engineering; Classical and Continuum Physics; Curved; Displacement; Dynamics; Engineering; Industrial Chemistry/Chemical Engineering; Integrals; Loads (forces); Mathematical analysis; Mathematical models; Mechanical Engineering; Moving loads; Timoshenko梁; 位移响应; 动荷载作用; 平面位移; 弯曲线; 曲线轨道; 移动荷载; 轨道结构; U211.3; Curved track; Moving loads; Transfer function; Analytical solution; Dynamic displacement
• ISSN: 1673-565X; 1862-1775
• DOI: 10.1631/jzus.A1300225

A closed-form out-of-plane dynamic displacement response of a curved track subjected to moving loads was pro- posed. The track structure was modeled as a planar curved Timoshenko beam periodically supported by the double-layer spring-damping elements. The general dynamic displacement response induced by the moving loads along the curve on the elastic semi-infinite space was firstly obtained in the frequency domain, according to the Duhamel integral and the dynamic reciprocity theorem. In the case of the periodic curved track structure subjected to moving loads, the dynamic displacement equation was simplified into a form of summation within the basic track cell instead of the integral. The transfer function for the curved track was expressed in the form of a transfer matrix. Single and series moving loads were involved in the calculation program. For the verification of the analytical model, the mid-span vertical deflection of a simply support curved beam subjected to moving load was recalculated and compared with the same case in the reference. The research results indicate that： under the same moving loads, the displacement response of the curved track decreases slightly with the increasing track radius, and the displacement response of the curved track with the radius greater than or equal to 600 m is almost equivalent to the displacement response of the straight track; the frequency spectrum of the curved track is more abundant than that of the straight track, which may result in more wheel-rail resonance and rail corrugation in the curved lines.