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Dynamic Response of Underground Pipeline to Incident Body Waves

机译：地下管道对入射体波的动力响应

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Based on Biot's dynamic theory and the complex variable function, a new method is used tornsolve the dynamic response of a pipeline in half-space porous medium to incident harmonicrnplane body waves. Here, a circular arc with large radius is applied to simulate the half-planernboundary. By using the theory of Helmholtz, The equations of the steady-state Biot wave motionrnare decoupled to Helmholtz equations by introducing in the potential functions. The generalrnsolution of Helmholtz equations is given by means of the complex series expansion technology.rnUtilizing the general solution of the potential functions, the expressions of the displacements,rnstresses and pore pressures of porous medium and those of the displacements and stresses at thernpipeline can be obtained with certain boundary conditions of this problem. Then the variations ofrnthe coefficients of dynamic stress concentration and the pore water pressures concentration atrnboundaries of the pipeline structure are discussed with different parameter conditions. Thernresults of the given numerical example indicate that the thickness and the shear module of thernpipeline have great influence on the dynamic stress and strain of the pipeline. The proposedrnmethodology in this paper may provide a new method for the analysis and design of undergroundrnpipelines accounting for transverse forces.
机译：基于Biot动力学理论和复变函数，提出了一种新的方法来求解半空间多孔介质中管道对入射谐平面波的动力响应。在此，使用大半径的圆弧来模拟半平面边界。利用亥姆霍兹理论，通过引入势函数将稳态毕特波动运动方程解耦为亥姆霍兹方程。利用复数级数展开技术给出了Helmholtz方程的一般解。rn利用势函数的一般解，可以获得多孔介质的位移，应力和孔隙压力的表达式，以及在管道上的位移和应力的表达式。在这个问题的某些边界条件下。然后讨论了在不同参数条件下管道结构动应力集中系数和孔隙水压力集中边界的变化。数值算例的结果表明，管道的厚度和剪切模量对管道的动应力和应变有很大的影响。本文提出的方法学可能为考虑横向力的地下管道的分析和设计提供一种新方法。

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