列车荷载下冻土路基非平稳随机振动分析的时域显式法

列车荷载下冻土路基非平稳随机振动分析的时域显式法

陈智锋, 李颖雄, 赖远明, 苏成

Non-stationary random vibration analysis of railway embankments in permafrost regions under train loads using the explicit time-domain method

Zhifeng CHEN, Yingxiong LI, Yuanming LAI, Cheng SU

表1 各时刻结构响应对应的系数向量

Table 1 Coefficient vectors for structural responses at each time instant

时刻	系数向量
时刻	$F_{1}$	$F_{2}$	$F_{3}$	$\dots$	$F_{n - 2}$	$F_{n - 1}$	$F_{n}$
$t_{1}$	$A_{1,1}$	$-$	$-$	$\dots$	$-$	$-$	$-$
$t_{2}$	$A_{2,1}$	$A_{1,1}$	$-$	$\dots$	$-$	$-$	$-$
$t_{3}$	$A_{3,1}$	$A_{2,1}$	$A_{1,1}$	$\dots$	$-$	$-$	$-$
$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$
$t_{n - 2}$	$A_{n - 2,1}$	$A_{n - 3,1}$	$A_{n - 4,1}$	$\dots$	$A_{1,1}$	$-$	$-$
$t_{n - 1}$	$A_{n - 1,1}$	$A_{n - 2, 1}$	$A_{n - 3,1}$	$\dots$	$A_{2,1}$	$A_{1,1}$	$-$
$t_{n}$	$A_{n, 1}$	$A_{n - 1,1}$	$A_{n - 2, 1}$	$\dots$	$A_{3,1}$	$A_{2,1}$	$A_{1,1}$