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SOIL DAMPING FORMULATION IN NONLINEAR TIME DOMAIN SITE RESPONSE ANALYSIS

机译:非线性时域场地响应分析中的土壤阻尼公式

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Nonlinear time domain site response analysis is used to capture the soil hysterctic response and nonlinearity due to medium and large ground motions. Soil damping is captured primarily through the hysteretic energy dissipating response. Viscous damping, using the Rayleigh damping formulation, is often added to represent damping at very small strains where many soil models are primarily linear. The Rayleigh damping formulation results in frequency dependent damping, in contrast to experiments that show that the damping of soil is mostly frequency independent. Artificially high damping is introduced outside a limited frequency range that filters high frequency ground motion. The extended Rayleigh damping formulation is introduced to reduce the over-damping at high frequencies. The formulation reduces the filtering of high frequency motion content when examining the motion Fourier spectrum. With appropriate choice of frequency range, both formulations provide a similar response when represented by the 5% damped elastic response spectrum. The proposed formulations used in non-linear site response analysis show that the equivalent linear frequency domain solution commonly used to approximate non-linear site response underestimates surface ground motion within a period range relevant to engineering applications. A new guideline is provided for the use of the proposed formulations in non-linear site response analysis.
机译:非线性时域站点响应分析用于捕获由于中等和较大地面运动引起的土壤滞后响应和非线性。主要通过滞后能量耗散响应来捕获土壤阻尼。通常使用瑞利阻尼公式添加粘性阻尼,以表示在很小的应变(许多土壤模型主要是线性的)下的阻尼。与表明土壤阻尼主要与频率无关的实验相反,瑞利阻尼公式可得出频率相关的阻尼。在过滤高频地面运动的有限频率范围之外引入了人为的高阻尼。引入了扩展的瑞利阻尼公式,以减少高频时的过阻尼。当检查运动傅立叶频谱时,该公式减少了对高频运动内容的过滤。通过适当选择频率范围,当以5%阻尼弹性响应谱表示时,两种配方均可提供相似的响应。用于非线性站点响应分析的拟议公式表明,通常用于近似非线性站点响应的等效线性频域解决方案会低估与工程应用相关的时间范围内的地面运动。提供了一个新的指南,用于在非线性现场响应分析中使用建议的配方。

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