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轨道结构动力响应Newmark方法时间积分步长的确定
  • ISSN号:1008-973X
  • 期刊名称:《浙江大学学报:工学版》
  • 时间:0
  • 分类:TU45[建筑科学—岩土工程;建筑科学—土工工程]
  • 作者机构:[1]浙江大学软弱土与环境土工教育部重点实验室,浙江杭州310027, [2]温州大学建筑工程学院,浙江温州325035
  • 相关基金:国家杰出青年科学基金项目(51025827);国家自然科学基金资助项目(51108414);教育部博士点基金项目(20110101120034)
中文摘要:

为了明确轨道结构动力响应计算中Newmark方法时间积分步长的确定依据,采用双层离散点支承轨道结构模型解析求解不同移动速度点荷载作用下的轨枕动反力频谱,进而采用模态叠加法和Newmark方法求解不同时问积分步长下上述双层轨道结构的位移和加速度响应,并与高精度的四阶Runge-Kutta方法计算结果对比.结果表明,不同荷载移动速度下的时间积分步长均应满足Nyquist采样定理,且采样定理中的频带宽度应至少包括由离散支承参数激励引起的轨枕动反力频谱的前二阶谷值.作为算例,根据上述采样定理确定的时间积分步长,采用Newmark方法计算了移动列车轴荷载作用下三层离散点支承轨道的枕木及道砟加速度响应.

英文摘要:

To determine the time step length in calculating dynamic responses of railway tracks by using the Newmark method, a track model consisting of a rail beam on two layers of discrete supports was studied analytically to obtain the amplitude spectrums of the rail-sleeper dynamic reaction forces for a single point load moving at different velocities. Subsequently, the track model was discretized spatially by mode superposition method and the temporal solutions of the resulting equations were obtained by the Newmark method using different time step length. By comparing the temporal results with those obtained by the highly accurate Runge-Kutta integration method, it is found that the time step length of the Newmark method should satisfy the Nyquist theorem. And the frequency band in the Nyquist theorem should be wide enough to include at least the first two valleys of the amplitude spectrum of the rail-sleeper dynamic interaction force, which are contributed by the moving load periodically passing through the discrete supports. As an example, a track model consisting of a rail beam on three layers of discrete supports was studied to obtain the sleeper and the ballast accelerations by the Newmark method with the time step length being determined by the Nyquist theorem.

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期刊信息
  • 《浙江大学学报:工学版》
  • 北大核心期刊(2011版)
  • 主管单位:教育部
  • 主办单位:浙江大学
  • 主编:岑可法
  • 地址:杭州市浙大路38号
  • 邮编:310027
  • 邮箱:xbgkb@zju.edu.cn
  • 电话:0571-87952273
  • 国际标准刊号:ISSN:1008-973X
  • 国内统一刊号:ISSN:33-1245/T
  • 邮发代号:32-40
  • 获奖情况:
  • 2000年获浙江省科技期刊质量评比二等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘(网络版),波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国剑桥科学文摘,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版)
  • 被引量:21198