A combined method for simulating track irregularities with full information and small samples

Abstract

In order to improve the accuracy and efficiency of the train-track-bridge coupled system (TTBS) dynamics random analysis under the excitation of track irregularities, a full information representation of the track irregularities is required while minimizing the number of track irregularities. To realize full information representation and simulate random track irregularities with a small number of samples, this paper proposes a combined method of the adaptive sampling method (ASM) and the modified stochastic harmonic function method (MSHF). The ASM can reduce the number of samples by selecting highly representative points that match the spectral probability distribution from the aforementioned set. The obtained point set is substituted into the independent variable added in the stochastic harmonic function (SHF) in order to achieve accurate simulation of the track irregularity time domain samples. Compared with the traditional method, the proposed method can achieve highly accurate simulation of track irregularities with small samples. By considering the TTBS dynamic analysis as an example, the combined method can improve precision while reducing computation time by 41.67% of random analysis.

Keywords

adaptive sampling method / stochastic harmonic function method / track irregularity / spectral probability distribution / stochastic dynamic analysis / train-track-bridge coupled system

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