摘要
根据波在地基的3个方向(x、y、z轴)都可以进行传播的特点,假定了地基中质点沿3个方向的振动表达式,通过胡克定律和波动理论,推导了弹性地基中三维动力问题的耦合粘性边界的公式。数值计算结果与理论精确解的比较表明:有限区域的有限元与截断边界的耦合粘性边界结合,能够较准确地求解弹性半空间的三维波动问题。本文耦合粘性边界是和频率无关的,可以适用于频域和时域的计算。
Based on wave propagating in three directions（x, y, z axis） of elastic foundation, vibrating displacement could be assumed to be in three forms along three directions. Hooke＇s law and theory of waves were adopted to deduce the formula of coupled viscous boundary. The coupled viscous boundary could be applied in finite element method. Compared with the theoretical exact solution of Lamb problem, numerical solution could accurately solve the axisymmetric dynamic problems. Although it was deduced in frequency domain, the coupled viscous boundary was independent on frequency. The coupled viscous boundary could be used not only in frequency domain but also in time domain.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
2006年第8期937-939,共3页
Chinese Journal of Geotechnical Engineering
关键词
耦合粘性边界
三维
弹性地基
coupled viscous boundary
three dimension
elastic foundation
