【摘要】：基于輪軌Hertz接觸模型,分別建立列車—軌道—橋梁垂向耦合系統(tǒng)的分離迭代法和耦合時變法的系統(tǒng)動力方程。根據(jù)系統(tǒng)最高頻率以及譜半徑理論分析這2種系統(tǒng)動力方程對時間積分步長的要求以及在計算收斂性方面的差別;以8輛車編組的高速列車通過5跨簡支梁橋為例,對比這2種系統(tǒng)動力方程的計算精度,并分析耦合時變系統(tǒng)動力方程不同時間積分步長對不同動力響應(yīng)指標(biāo)計算精度的影響規(guī)律。結(jié)果表明:分離迭代法系統(tǒng)動力方程受積分步內(nèi)迭代穩(wěn)定性和計算精度的雙重控制,其時間積分步長必須小于0.2ms;而耦合時變法系統(tǒng)動力方程則允許采用較大的時間積分步長,但不同動力響應(yīng)指標(biāo)的計算精度受時間積分步長的影響不同,其中,鋼軌位移、車體振動加速度、橋梁位移以及輪軌垂向力等指標(biāo)對時間積分步長的變化不敏感,在1ms的積分步長下即可得到精確解,而鋼軌和橋梁的振動加速度指標(biāo)對時間積分步長的變化敏感,時間積分步長需要小于0.4ms。
[Abstract]:Based on the wheel-rail Hertz contact model, the system dynamic equations of train-track-bridge vertical coupling system and coupling time-varying method are established respectively. According to the theory of maximum frequency and spectral radius of the system, the requirements of the two dynamic equations for the time integral step size and the difference in the calculation convergence are analyzed. Taking the 5-span simply supported beam bridge passed by 8 high-speed trains as an example, the calculation accuracy of the dynamic equations of the two systems is compared, and the influence of different time integral steps of the coupled time-varying system dynamic equations on the calculation accuracy of different dynamic response indexes is analyzed. The results show that the dynamic equation of the separated iterative method is controlled by the iterative stability and the calculation accuracy in the integral step, and the time integral step size must be less than 0.2 Ms. However, the dynamic equation of the coupled time-varying system allows a large time integral step size, but the calculation accuracy of different dynamic response indexes is different by the time integral step size. Among them, rail displacement, vehicle body vibration acceleration, bridge displacement and wheel-rail vertical force are not sensitive to the change of time integral step size, and the exact solution can be obtained under the integral step size of 1ms. The vibration acceleration index of rail and bridge is sensitive to the change of time integral step size, and the time integral step size needs to be less than 0.4 Ms.
【作者單位】： 中南大學(xué)土木工程學(xué)院;中南大學(xué)高速鐵路建造技術(shù)國家工程實驗室;西南交通大學(xué)牽引動力國家重點實驗室;
【基金】：國家自然科學(xué)基金資助項目(51378511,51678576) 湖南省高校創(chuàng)新平臺開放基金(13K006) 牽引動力國家重點實驗室開放課題(TPL1601) 中南大學(xué)中央高�；究蒲袠I(yè)務(wù)費(fèi)專項資金資助項目(2016ZZTS421)
【分類號】：U211;U441.7
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本文編號：2508230