摘要
本文将地下管线的总位移分为两部分,一部分是由场地位移引起的拟静态位移,另一部分是由结构的惯性和阻尼引起的动态位移。将场地位移按空间坐标展开成Fourier级数,代入微分方程,求出拟静态位移的级数解;动态位移用振型分解法求解,是相应的级数形式。将动态位移和拟静态位移相加即得管线的总位移反应。经算例验证,用本文方法只取级数的前几项就能得到足够精确的结果。
In this paper, the motion of underground soil, ug(x, t), is expanded in Fourier series with the coefficients an(t) varying with time along the longitudinal x-axis and then the pseudo-static axial deflections of pipeline may be easily determined . Further, the dynamic responses of the axial deflection are solved by modal analysis technique. The sum of pseudo-static and dynamic solutions is the final result of the problem. A numerical example reveals that the first few terms of the series solution are dominant.
出处
《地震工程与工程振动》
CSCD
北大核心
1993年第4期39-46,共8页
Earthquake Engineering and Engineering Dynamics
基金
地震科学联合基金
