资源一;中国数学建模-编程交流-概率算法简介 0 S* y- }* p( M0 m, I f' Y资源二;本文为网络首发文章,[size=8.81986pt]基于[size=8.81986pt]MATLAB®[size=8.81986pt]实现了列车[size=8.81986pt]-[size=8.81986pt]轨道[size=8.81986pt]-[size=8.81986pt]桥梁随机振动的直接概率积分法分析程[size=8.81986pt]序[size=8.81986pt],[size=8.81986pt]计算了全概率不平顺激励和参数随机条件下车[size=8.81986pt]-[size=8.81986pt]轨[size=8.81986pt]-[size=8.81986pt]桥系统振动响应的均值[size=8.81986pt]、[size=8.81986pt]标准差和时变的概率密度信息[size=8.81986pt]。[size=8.81986pt]研究结果[size=8.81986pt]表明[size=8.81986pt]:[size=8.81986pt]与概率密度演化分析方法相比[size=8.81986pt],[size=8.81986pt]直接概率积分法可较好的反映行车过程中系统响应的概率密度特征[size=8.81986pt],[size=8.81986pt]然而其在系统[size=8.81986pt]响应随机后处理时更为高效[size=8.81986pt],[size=8.81986pt]其效率可提高 [size=8.81986pt]1-2[size=8.81986pt]个数量级[size=8.81986pt]。[size=8.81986pt]此外[size=8.81986pt],[size=8.81986pt]考虑轨道不平顺全概率激励更能准确的反映行车过程系[size=8.81986pt]统响应的概率特征[size=8.81986pt],[size=8.81986pt]平均概率谱可能使得计算结果偏于保守[size=8.81986pt];[size=8.81986pt]行车速度对于列车和桥梁动态行为的影响是显著的[size=8.81986pt],[size=8.81986pt]随着行[size=8.81986pt]车速度的增加系统响应的范围逐渐变大[size=8.81986pt]。[size=8.81986pt]研究结果进一步拓展了列车[size=8.81986pt]-[size=8.81986pt]轨道[size=8.81986pt]-[size=8.81986pt]桥梁随机系统的分析方法[size=8.81986pt],[size=8.81986pt]可以高效的用于系[size=8.81986pt]统状态评估和设计优化[size=8.81986pt] 0 e! [3 S9 L! d' f' d* s7 I" q& ~" q1 d% n7 K
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