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根据饱和土Biot理论,在频域内提出了一种适用于弹性波波动问题的有限元-无限元解法,其中有限单元用于近场介质的模拟,而形函数基于一维解析解答的无限单元则被用于人工边界,它可反映波传递到无限远处的特性;应用该法计算算例,以证明其有效性与正确性。在此基础上,对饱和地基中空沟主动隔振效果进行了详细的数值分析,结果表明,空沟深度是影响隔振效果的主要因素,一般沟深越大,隔振效果越好;当沟深一定时,空沟到振源的距离不宜超过1.5倍饱和土剪切波长;空沟的宽度对隔振效果的影响相对较小。
According to the Biot theory of saturated soils, a finite element-infinite element method suitable for elastic wave fluctuation is proposed in the frequency domain. The finite element method is used to simulate the near-field medium, while the infinite element based on the one-dimensional analytic solution Is used on the artificial boundary, which can reflect the characteristics of the wave transmission to infinity; this example is calculated to prove its validity and correctness. On this basis, a detailed numerical analysis of the active vibration isolation effect of the hollow gutter in saturated foundation is carried out. The results show that the depth of the gully is the main factor affecting the vibration isolation effect. The larger the gully depth, the better the vibration isolation effect. When the depth is fixed, the distance between the empty channel and the vibration source should not exceed 1.5 times the shear wavelength of saturated soil; the width of the empty channel has a relatively small influence on the vibration isolation effect.