A 2.5D finite element approach for predicting ground vibrations generated by vertical track irregularities

Abstract：Dynamic responses of track structure and wave propagation in nearby ground vibration become significant when train operates on high speeds.A train-track-ground dynamic interaction analysis model based on the 2.5D finite element method is developed for the prediction of ground vibrations due to vertical track irregularities.The one-quarter car model is used to represent the train as lumped masses connected by springs.The embankment and the underlying ground are modeled by the 2.5D finite element approach to improve the computation efficiency.The Fourier transform is applied in the direction of trains movement to express the wave motion with a wave-number.The one-quarter car model is coupled into the global stiffness matrix describing the track-ground dynamic system with the displacement compatibility condition at the wheel-rail interface,including the irregularities on the track surface.Dynamic responses of the track and ground due to trains moving loads are obtained in the wave-number domain by solving the governing equation,using a conventional finite element procedure.The amplitude and wavelength are identified as two major parameters describing track irregularities.The irregularity amplitude has a direct impact on the vertical response for low-speed trains,both for short wavelength and long wavelength irregularities.Track irregularity with shorter wavelength can generate stronger track vibration both for low-speed and high-speed cases.For low-speed case,vibrations induced by track irregularities dominate far field responses.For high-speed case,the wavelength of track irregularities has very little effect on ground vibration at distances far from track center,and trains wheel axle weights becomes dominant. 作者： Author： Xue-cheng BIAN  Chang CHAO  Wan-feng JIN  Yun-min CHEN 作者單位： MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Department of Civil Engineering,Zhejiang University, Hangzhou 310058, China 期 刊： 浙江大學學報（英文版）（A輯：應用物理和工程）   ISTICEISCI Journal： Journal of Zhejiang University Science A 年，卷(期)： 2011, 12(12) 分類號： U213.1 Keywords： High-speed railway    2.5D finite element method    One-quarter car model    Ground vibration    Track irregularities    機標分類號： P31 P7 機標關鍵詞： approach    finite element method    ground vibration    Dynamic    dynamic interaction    governing equation    Fourier transform    wave propagation    stiffness matrix    track structure    analysis model    long wavelength    dynamic system    high    conventional    wave motion    significant    interface    far field    direction 基金項目： the National Key Technology R&D Program of the Ministry of Science and Technology of China，the National Natural Science Foundation of China，the Technology Promotion Program from the Ministry of Railway of China

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