论文部分内容阅读
采用一种高精度的间接边界积分方程法(IBIEM),对二维非连续群桩屏障对平面P、SV波的隔振效果进行宽频带计算分析。该方法基于单层位势理论,通过在非连续屏障交界面附近引入虚拟波源,分别用以构造散射体内、外散射场,继而由边界条件建立方程并求解得到虚拟波源密度,外部的总波场可由散射场和自由场叠加而得到。精度检验表明,该方法能够精确高效地求解任意排桩的宽频隔振问题。进而以圆柱实心桩为例,通过定量化频谱分析,揭示了P、SV波入射时排桩对不同频段弹性波的隔振差别,探讨了不同波速比、桩间距、桩排数对隔振效果的影响规律,研究结果表明:(1)隔振效果存在最优无量纲频段,宜优化设计桩径和桩间距以达到最佳效果;(2)场地土愈软,隔振效果愈佳。相比P波,SV波对于桩间距更为敏感;(3)低频波宜采用多排桩,但对高频波,采用三排以上的桩屏障对隔振效果的提升则不再显著。
A high-precision indirect boundary integral equation (IBIEM) method is used to calculate and analyze the vibration isolation effect of two-dimensional discontinuous group barrier on plane P and SV waves. Based on the theory of single-layer potentials, this method introduces virtual wave sources near the interface of discontinuous barriers to construct the scattered and scattered fields respectively. Then, the boundary conditions are used to establish the equations and obtain the density of the virtual wave source. The total external wave field By the scattering field and free field overlay and get. Accuracy tests show that this method can solve the problem of broadband vibration isolation of arbitrary row piles accurately and efficiently. Furthermore, taking the solid cylindrical pile as an example, through the quantitative spectrum analysis, the difference of vibration isolation between different frequency bands of P and SV wave when P and SV waves are incident is revealed. The effects of different wave velocity ratio, pile spacing, The results show that: (1) The optimal dimensionless frequency band exists in the vibration isolation effect, and the pile diameter and pile spacing should be optimized to achieve the best results. (2) The more soft soil, the better the vibration isolation effect. Compared with P wave, SV wave is more sensitive to pile spacing; (3) Multi-row piles should be used for low-frequency wave, but for high-frequency wave, the improvement of vibration isolation effect is no longer obvious with pile barriers of more than three rows.