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Representation of radiation damping in a dam-reservoir interaction analysis based on a rational stiffness approximation

机译：基于有理刚度近似的大坝-水库相互作用分析中的辐射阻尼表示

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In this paper, the dam-reservoir interaction problem is solved directly in the time-domain by modelling a part of the reservoir as a semi-infinite fluid-channel. Radiation damping is taken into account rigorously using an analytical solution with respect to the direction of wave propagation. The key step of the method consists of approximating the resulting modal flux-pressure relationship by a rational function in iΩ, which can be replaced by a system of linear equations in the frequency-domain. Two algorithms for the calculation of the coefficients of the rational function are described and compared. Finally, a system of first-order differential equations in the time-domain is obtained which completely represents the semi-infinite fluid-channel and can be coupled to the equations of motion of a dam and a bounded reservoir. The proposed strategy is verified considering a rigid dam. Moreover, the results of an earthquake analysis of a coupled flexible dam-reservoir system are presented.
机译：本文通过将一部分水库建模为半无限流体通道，直接在时域上解决了大坝与水库的相互作用问题。使用关于波传播方向的解析解决方案来严格考虑辐射衰减。该方法的关键步骤包括通过一个以iΩ为单位的有理函数来近似模态通量-压力关系，该函数可以由频域中的线性方程组代替。描述和比较了两种计算有理函数系数的算法。最后，获得了时域的一阶微分方程系统，该系统完全代表了半无限流体通道，并且可以与大坝和有界水库的运动方程耦合。考虑到刚性大坝，对提出的策略进行了验证。此外，给出了耦合柔性坝-水库系统地震分析的结果。

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