Non-stationary random ground vibration due to loads moving along a railway track
Non-stationary random ground vibration due to loads moving along a railway track
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DOI：
10.1016/j.jsv.2006.04.041
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发表时间：
2006-11
影响因子：
4.7
通讯作者：
F. Lu;Q. Gao;Jiahao Lin;F. Williams
中科院分区：
文献类型：
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作者：
F. Lu;Q. Gao;Jiahao Lin;F. Williams
将虚拟激励法和精细积分法相结合，计算了轨道上沿着匀速移动荷载引起的非平稳随机地面振动。钢轨被建模为一个单一的无限欧拉梁连接到枕木，因此道碴。该道碴位于地面上，假设地面由层状横观各向同性土壤组成。系统的运动方程建立在笛卡尔坐标系中，该坐标系随载荷运动。在频域/波数域中，运动方程的求解采用两点边值问题的精细积分算法，而非平稳功率谱密度和与时间相关的标准差则可以通过PEM方便地得到。利用层状地基的横观各向同性特性，将频率/波数域的三次迭代过程简化为两次迭代过程。从而大大提高了计算效率。
The pseudo-excitation method (PEM) and the precise integration algorithm are combined to compute the non-stationary random ground vibration caused by loads moving along a railway track at constant speed. The rails are modeled as a single infinite Euler beam connected to sleepers and hence to ballast. This ballast rests on the ground, which is assumed to consist of layered transversely isotropic soil. The equations of motion of the system are established in a Cartesian coordinate system which moves with the loads. The non-stationary power spectral density and the time-dependent standard deviation can be derived conveniently by means of PEM, while the precise integration algorithm for two-point boundary value problems is applied to the solution of the equations of motion in the frequency/wavenumber domain. By virtue of the transverse isotropic property of the layered soils, the threefold iteration process in the frequency/wavenumber domain is reduced into a twofold iteration process. Hence the computational efficiency is improved considerably.