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Site response analysis with two-dimensional numerical discontinuous deformation analysis method

机译：二维数值不连续变形分析方法的场地响应分析

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摘要

The capability of the numerical discontinuous deformation analysis (DDA) method to perform site response analysis is tested. We begin with modeling one-dimensional shear wave propagation through a stack of horizontal layers and compare the obtained resonance frequency and amplification with results obtained with SHAKE. We use the algorithmic damping in DDA to condition the damping ratio in DDA by changing the time step size and use the same damping ratio in SHAKE to enable meaningful comparisons. We obtain a good agreement between DDA and SHAKE, even though DDA is used with first order approximation and with simply deformable blocks, proving that the original DDA formulation is suitable for modeling one-dimensional wave propagation problems. The ability of DDA to simulate wave propagation through structures is tested by comparing the resonance frequency obtained for a multidrum column when modeling it with DDA and testing it in the field using geophysical site response survey. When the numerical control parameters are properly selected, we obtain a reasonable agreement between DDA and the site response experiment in the field. We find that the choice of the contact spring stiffness, or the numerical penalty parameter, is directly related to the obtained resonance frequency in DDA. The best agreement with the field experiment is obtained with a relatively soft contact spring stiffness of k=(1/25)(E×L) where E and L are the Young's modulus and mean diameter of the drums in the tested column.
机译：测试了数值不连续变形分析（DDA）方法执行站点响应分析的能力。我们首先对一维剪切波在水平层中的传播进行建模，然后将获得的共振频率和放大率与使用SHAKE获得的结果进行比较。我们使用DDA中的算法阻尼来通过更改时间步长来调整DDA中的阻尼比，并在SHAKE中使用相同的阻尼比来进行有意义的比较。即使DDA与一阶近似和简单的可变形块一起使用，我们也获得了DDA和SHAKE的良好协议，证明了原始DDA公式适合于建模一维波传播问题。通过比较使用DDA建模时在多鼓柱上获得的共振频率并使用地球物理场响应调查在野外进行测试，来测试DDA模拟通过结构传播的能力。如果正确选择了数控参数，我们将在DDA和现场现场响应实验之间取得合理的共识。我们发现，接触弹簧刚度的选择或数值惩罚参数与DDA中获得的共振频率直接相关。用相对较软的接触弹簧刚度k =（1/25）（E×L）可获得与现场实验的最佳一致性，其中E和L是杨氏模量和被测柱中鼓的平均直径。

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