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中文核心期刊

车辆-轨道系统垂向随机振动的辛方法分析

Random vibration analysis of vehicle-track coupling systems using symplectic method

  • 摘要: 将轨道视为无限长的周期结构,建立车辆轨道垂向耦合模型. 使用虚拟激励法将随机的轨道不平顺激励转化为确定性的简谐激励,再用辛数学方法求解轨道结构的频率响应特性和耦合系统的响应功率谱. 整个计算模型只有26个自由度,求解过程快速而精确.数值算例中,将该方法与常规有限元方法进行了比较,验证了方法的高效性和正确性,讨论了车辆速度对系统随机响应的影响.

     

    Abstract: The vertical coupling model of vehicle-track systems isset up in the case of the track as an infinite periodic structure. Therandom irregularity excitation of the rail is transformed into adeterministic harmonic excitation with the pseudo excitation method, and thefrequency response of the track and the power spectrum density (PSD) of thesystem response are analyzed using the symplectic algorithm. In addition,there are only 26 DOFs in the computational model to have an efficient andaccurate solution. The model is verified with the conventional FEM, and theinfluence of the vehicle velocity on the system vibration is investigated.

     

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