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车辆-轨道耦合动力学钢轨模型求解方法

, PP. 32-38

Keywords: 钢轨模型,有限元法,模态叠加法,Bernoulli-Euler梁,Rayleigh-Timoshenko梁

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Abstract:

应用车辆-轨道非线性耦合动力学模型,分析了采用解析方法的模态叠加法、有限元法的模态叠加法和有限元法的直接积分法求解车辆-轨道耦合动力学钢轨模型的计算精度与计算效率。选取Bernoulli-Euler梁或Rayleigh-Timoshenko梁模拟钢轨,采用不同类型单元离散钢轨模型,并利用显式积分方法求解车辆-轨道耦合动力学的响应。计算结果表明当采用Bernoulli-Euler梁钢轨模型和轨道激励频率较低时,采用协调质量阵的直接积分法计算时间是解析方法的模态叠加法的28.8倍,各种计算方法的计算结果接近;当采用Rayleigh-Timoshenko梁钢轨模型和轨道激励频率较低时,可以忽略Rayleigh-Timoshenko梁的转动惯量对车辆-轨道耦合动力学模型的响应影响;解析法的模态叠加法的计算时间比混合单元的慢64.5%。

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