Application of Transfer Matrix in the Problem of Dynamic Load below the Earth Surface
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摘要: 引用了流体饱和两相多孔介质的动力控制方程分析半空间埋置动点源荷载问题的位移和变形。经过Laplace Hankel变换,控制方程化成常微分方程组。利用数学软件mathmatic对上述方程组求解,可以得到单层砂土的传递矩阵。分析过程中,假设在两层面上,位移与应力相互连续,可以借鉴有限元的思想进行耦合计算。这样就获得了在饱和砂土中施加竖向动荷载问题的Laplace Hankel变换解,其最终的解还需要通过Laplace Hankel逆变换得到。
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关键词:
- 传递矩阵 /
- LAPLACE-HANKEL变换 /
- 动力响应
Abstract: The theory of liquid saturated porous medium is quoted to analyze the displacement and force in the sand when there is dynamic load below the earth surface. Through the axial symmetry supposition and the laplace Hankel transformation, the laplace Hankel aralytial form of the vertical dynamic load in saturated sand is obtained by using the dyramic transfer matrix.-
Key words:
- transfer matrix /
- Laplace Hankel transformation /
- dynamic response
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