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Damping formulation for nonlinear 1D site response analyses

机译：非线性一维部位响应分析的阻尼公式

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摘要

Measurements and observations of ground shaking during large earthquakes have demonstrated the predominant role of site effects in the response of infrastructure during a seismic event. Despite significant efforts to model the hysteretic response and nonlinearity of soils due to medium and large ground motions, the most widely accepted nonlinear site response methods are not able to represent simultaneously the changes of stiffness and energy dissipation (damping) observed in both laboratory tests and during earthquake events. This paper presents two new soil damping formulations implemented in nonlinear one-dimensional site response analysis for small and large strains. The first formulation introduces an approach to construct a frequency-independent viscous damping matrix which reduces the over-damping at high frequencies, and therefore, the filtering at those frequencies. The second formulation introduces a reduction factor that modifies the extended Masing loading/ unloading strain-stress relationship to match measured modulus reduction and damping curves simultaneously over a wide range of shear strains. A set of examples are introduced to illustrate the effect of using the two proposed formulations, separately and simultaneously, in nonlinear site response analyses.
机译：在大地震中对地面震动的测量和观察表明，场地效应在地震事件中对基础设施响应的主要作用。尽管为模拟由于中等和较大地震动引起的土壤的滞后响应和非线性做出了巨大努力，但最广泛接受的非线性现场响应方法无法同时表示在实验室测试和试验中观察到的刚度和能量耗散（阻尼）的变化。在地震事件中。本文介绍了在非线性一维场地响应分析中对小应变和大应变的两种新的土壤阻尼公式。第一个公式介绍了一种构建与频率无关的粘性阻尼矩阵的方法，该矩阵可减少高频下的过阻尼，从而减少这些频率下的滤波。第二个公式引入了一个减小因子，该因子修改了扩展的Masing加载/卸载应变-应力关系，以在较大的剪切应变范围内同时匹配测得的模量减小和阻尼曲线。介绍了一组示例，以说明在非线性站点响应分析中分别和同时使用两种建议的公式的效果。

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