Development and validation of nonlinear computational models of dispersed structures under strong earthquake excitation

Structural health monitoring of large multispan flexible bridges is particularly important because of their important role in civil infrastructure and transportation systems. In this study, the response of the Yokohama Bay Bridge (YBB), a three‐span cable‐stayed bridge, to the 2011 Great East Japan Earthquake is used to perform multi‐input multi‐output system identification studies. The extensive multicomponent measurements are also used to develop and validate data‐driven nonlinear mathematical models that can predict the response of YBB to various earthquake records and can accurately estimate its damping characteristics when the system is driven into the nonlinear response range. A combination of least‐square (parametric) and neural network (nonparametric) approaches is used to develop the mathematical models, along with time‐marching techniques for dynamic response calculations. It is shown that the nonlinear mathematical models perform better than the equivalent linear models, both for response prediction and damping estimation. The importance of having an accurate approach for quantifying the damping due to the variety of nonlinear features in the YBB response is shown. This study demonstrates the significance of constructing robust mathematical models that can capture the correct physics of the underlying system and that can be used for computational purposes to augment experimental studies. Given the lack of suitable data sets for full‐scale structures under extreme loads, the availability of the long‐duration measurements from the 2011 Great East Japan Earthquake and its many strong aftershocks provides an excellent opportunity to perform the analyses presented in this study. Copyright © 2013 John Wiley & Sons, Ltd.     

Nonlinear response estimates of RC frames using linear analysis of SDOF systems

An approximate‐simple method for nonlinear response estimates of reinforced concrete frames subjected to near‐field and far‐field records is presented in this paper. The approximate method is based on equivalent single‐degree‐of‐freedom and linear multi‐degree‐of‐freedom models. In this procedure, the nonlinear maximum roof displacement is estimated using an effective period factor and elastic response spectrum with an equivalent damping. The effective period factor was proposed for far‐field and near‐field ground motion records. For regions of high seismicity, the maximum roof displacement can be estimated by applying an effective period factor of 2.3 and 2.1 for near‐field and far‐field records, respectively, and 9% damped displacement response spectrum. For regions of moderate seismicity, a lower effective period factor of 1.9 and 1.8, for near‐field and far‐field records, respectively, can be applied to estimate the maximum roof displacement. A relationship between linear and nonlinear response of multi‐degree‐of‐freedom systems was also proposed to obtain estimates of the maximum inter‐story drift of nonlinear responding reinforced concrete frames. In addition, the effects of number of ground motion records used in the analyses on the scatters of results were investigated. The required number of ground motions to produce a reliable response was proposed. Copyright © 2013 John Wiley & Sons, Ltd.     

Simplified discrete systems for dynamic analysis of structures on footings and piles

A simplified discrete system in the form of a simple oscillator is developed to simulate the dynamic behavior of a structure founded through footings or piles on compliant ground, under harmonic excitation. Exact analytical expressions for the fundamental natural period and the corresponding damping coefficients of the above system are derived, as function of geometry and the frequency-dependent foundation impedances. In an effort to quantify the coupling between swaying and rocking oscillations in embedded foundations such as piles, the reference system is translated from the footing–soil interface to the depth where the resultant soil reaction is applied, to ensure a diagonal impedance matrix. The resulting eccentricity is a measure of the coupling effect between the two oscillation modes. The amounts of radiation damping generated from a single pile and a surface footing are evaluated. In order to compare the damping of a structure on a surface footing and a pile, the notion of static and geometric equivalence is introduced. It is shown that a pile may generate significantly higher radiation damping than an equivalent footing, thus acting as an elementary protective system against seismic action.     

关于频率电磁测深几个问题的探讨(七)——解析广义逆矩阵反演法

从目标函数的线性化出发,采用奇异值分解法求广义逆矩阵并适当加阻尼,用迭代法直接解超定方程实现改进广义逆矩阵反演。进一步从理论与实际结合上阐明改进广义逆矩阵反演法的灵活、稳定,它涵盖了多种反演方法的优点,又具有自身特点,在实际应中适应性强,并能提供一些辅助信息,可更好地评价解释结果。      

软弱夹层速度对瑞利面波频散曲线的影响

文章以弹性波横波速度为参数,利用瑞利面波频散曲线的快速标量传递算法进行正演模拟计算,系统研究软弱层速度对瑞利面波基阶模频散曲线的影响,分析和总结了频率与相速度（f-c）、频率与波数（f-k）、深度与相速度（h—c）等瑞利面波基阶模曲线随软弱层速度变化的规律。     

High-Frequency Rayleigh-Wave Method

High-frequency (≥2 Hz) Rayleigh-wave data acquired with a multichannei recording sys-tem have been utilized to determine shear (S)-wave velocities in near-surface geophysics since the early 1980s. This overview article discusses the main research results of high-frequency surface-wave tech-niques achieved by research groups at the Kansas Geological Survey and China University of Geosciences in the last 15 years. The multichannel analysis of surface wave (MASW) method is a nou-iuvasive acoustic approach to estimate near-surface S-wave velocity. The differences between MASW results and direct borehole measurements are approximately 15% or less and random. Studies show that simultaneous inversion with higher modes and the fundamental mode can increase model resolution and an investigation depth. The other important seismic property, quality factor (Q), can also be estimated with the MASW method by inverting attenuation coefficients of Rayleigh waves. An inverted model (S-wave velocity or Q) obtained using a damped least-squares method can be assessed by an optimal damping vector in a vicinity of the inverted model determined by an objective function, which is the trace of a weighted sum of model-resolution and model-covariance matrices. Current developments include modeling high-frequency Rayleigh-waves in near-surface media, which builds a foundation for shallow seismic or Rayleigh-wave inversion in the time-offset domain; imaging dispersive energy with high resolution in the frequency-velocity domain and possibly with data in an arbitrary acquisition geometry, which opens a door for 3D surface-wave techniques; and successfully separating surface-wave modes, which provides a valuable tool to perform S-wave velocity profiling with high-horizontal resolution.     

低幅值小应变振动下土体弹性刚度的非线性特征与表述方法

随着高速铁路建设的兴起,轨道以及沿线附近建筑物承受低幅值小应变振动荷载的作用。对于小应变振动下土体的有限元计算,如何确定连接应力和应变之间纽带的刚度张量E,对于建立合理的预测模型来分析高速铁路轨道以及沿线建筑物的沉降变形至关重要。低幅值小应变振动下剪切模量G和阻尼比D随剪应变幅值的变化是反映土体刚度及阻尼特征最重要的两个参数。通过共振柱试验发现,振动荷载作用下土体的剪切模量G必须通过振动应变幅值和固结围压共同来确定,即使在小应变（剪应变幅值10-6相似文献   

黏弹性与弹性介质中Rayleigh面波特性对比研究

Rayleigh面波的频散特性可以用来研究地表浅层结构. 本文使用时域有限差分法来模拟复杂黏弹性介质中的Rayleigh面波,研究了Q值对面波频散特性的影响.文中采用旋转交错网格有限差分,以非分裂卷积形式的完全匹配层为吸收边界,推出了求解二阶位移-应力各向同性黏弹性波动方程的数值方法.为了检验数值解的精度,首先将简单模型的正演结果与解析解对比,验证了方法的正确性;然后模拟了横向缓变层状介质和含有洞穴的介质中的面波,对弹性和黏弹性介质中的面波的频散特性进行对比分析.模拟结果表明浅层Q值对面波的频散特性有显著的影响;强吸收情况下,高阶面波的能量相对低阶面波能量显著增强.     

高速铁路客站模态特征分析与阻尼模型的注记

针对"房桥合一"高速铁路客站质量、刚度分布严重不均匀、不同阻尼比构件繁多等特点,对其模态特征和用于时程法阻尼模型的确定进行了研究。通过位能加权激励原理和位能公式的阐述、天津西站II区的模态分析与振型分解时程法的应用,并以此为标准进行了5种不同瑞利阻尼比例系数时程法的响应比较。结果表明:位能加权法激励为各模态的振型响应,求得阻尼为振型阻尼,结构模态质量累计数突变发生在第9阶,选择第1,9阶振型确定的瑞利阻尼比例系数较合理。振型分解时程法的振型阻尼可基于振型响应的位能加权法确定,直接时程法的瑞利阻尼宜选择第1阶与模态质量累计数发生突变的振型来确定,可供结构设计与分析参考。     

钢结构房屋动力特性脉动法测试研究

对上海地区的10幢钢结构建筑进行脉动法测试并采集数据,得到广义钢结构房屋的动力特性。选取其中1栋典型建筑通过多次测试和数值模拟分别验证测试的稳定性和准确性。通过分析处理测试数据建立钢结构建筑一阶周期与结构层数或高度的线性关系式,并归纳总结了等效阻尼比的测试结果,为验证结构动力特性理论计算结果、钢结构建筑减震隔震设计以及鉴定、加固改造、损伤识别提供依据。