Numerical investigation of stochastic response of an elevated water tank to random underground blast loading

This paper presents a stochastic finite element seismic response study of a water tank subjected to random underground blast-induced ground motion. Such tanks contain water and hazardous chemical substances, which implies significant risk to human life, serious environmental pollution, and considerable economic loss. The random blast-induced ground motion is represented by power spectral density function and applied to each support point of the three dimensional finite element model of the elevated water tank–fluid interaction system. A parametric study is conducted to estimate the effects of the blast-induced ground motion on the stochastic response of the elevated water tank system. Therefore, the analyses are carried out for different values of the charge weight and the distance from the charge centre. Additionally, in order to investigate the effect of the fluid on the stochastic response of the elevated water tank, three cases with different water levels are considered in the analyses. Finally, it is observed that underground blast loading considerably changes the stochastic behavior of the elevated water tank system.     

平稳随机激励下随机结构非线性动力响应分析

为了在结构强震灾变过程模拟中正确反映结构参数的随机性并准确界定结构失效模式,提出一种平稳随机激励下随机结构非线性动力响应分析的简化方法.首先运用点估计法将复合非线性随机系统转化为一系列平稳随机激励下的确定性非线性结构,然后再应用成熟的等效线性化方法计算出平稳随机激励下非线性结构动力响应的各阶矩.文末进行了算例分析与验证...     

Time effects on dynamic soil properties under random excitation conditions

Two types of clayey soils, a kaolinite and a bentonite, were tested using a resonant column apparatus under random excitation conditions. The concept of root mean square (rms) strain was utilized for the purpose of strain calculations during random loading. The conventional estimator of the transfer function was used for random vibration analysis. The effect of confinement duration (at a constant pressure) on dynamic soil properties, namely damping and shear modulus, was evaluated. The results indicate that for both cohesive soils, the effect of time was less pronounced during random vibration than sinusoidal loading at the same rms strain. This effect is however more pronounced when the peak shearing strain of sinusoidal loading is considered. Furthermore, time effects were more pronounced at low strain levels than at high strain levels.     

季节性冻土层对立式储罐地震反应的影响

冬季的季节性冻土层改变了地基土的动力特性和场地的卓越周期，季节性冻土层上储罐的地震反应必然受到季节性冻土层的影响。本文以Ⅲ类场地上的八种立式储罐为研究对象，计算了场地在非冻结期和冻结期两种情况下储罐的地震反应，并对计算结果进行了比较。结果表明Ⅲ类场地上的储罐，冻结期的地震反应要比非冻结期的地震反应明显增大。     

Minimal structural response under random excitation using the vibration absorber

The equations of motion are derived for the first mode response of a linear multistorey structure having a linear vibration absorber attached to the roof. Furthermore, the variance of the first mode response to a gaussian white noise lateral base acceleration (as a model of earthquake excitation) is determined. Smallest possible values of the variance of the response along with corresponding absorber parameters are established using an optimization program. It is demonstrated that the absorber is quite effective in reducing first mode response for 5- and 10-storey structures even with relatively small values of the absorber mass. Moreover, minimal responses for the randomly excited single-degree-of-freedom system have been determined, and a design example is presented. The absorber system has potential application not only in earthquake engineering but also in aerospace and terrestrial vehicle design.     

Water phase transformations in frozen soil under the effect of cryopegs

The impact of mineralized water on frozen soil causes dissolution of ice contained in the latter, resulting in cooling of the frozen soil.     

Focused infiltration of snowmelt water in partially frozen soil under small depressions

Ephemeral puddles in small closed depressions can play an important role in the hydrology and ecology of many landscapes, by storing runoff water, recharging soil moisture and shallow groundwater, and by providing food and habitat for many organisms. Infiltration of snowmelt water under small depressions (<1000 m²) has been studied in the St. Denis National Wildlife Area in Saskatchewan, Canada, located within the northern glaciated prairie of North America where numerous depressions of varying sizes exist. The depressions stored most of the snowmelt runoff generated within their respective watersheds. The water level in a typical depression declined at 0.6 mm/h while the underlying frozen soil was thawing. This rate was likely limited by the rate of downward movement of the thawing front, which was functioning as a moving impermeable boundary. The rate of thawing was controlled by the external energy input from the ground surface. Standing water in depressions efficiently trapped incoming radiation and conducted it to the thawing front. The recession rate increased to 1.1 mm/h when the soil under the depression thawed completely. The recession rate at this later stage appears to be limited by the hydraulic conductivity of the subsoil (0.04–4 mm/h), which is much smaller than the topsoil conductivity (10–20 mm/h).     

Nonstationary stochastic response of structural systems equipped with nonlinear viscous dampers under seismic excitation

Nonlinear viscous dampers are supplemental devices widely used for enhancing the performance of structural systems exposed to seismic hazard. A rigorous evaluation of the effect of these damping devices on the seismic performance of a structural system should be based on a probabilistic approach and take into account the evolutionary characteristics of the earthquake input and of the corresponding system response. In this paper, an approximate analytical technique is proposed for studying the nonstationary stochastic response characteristics of hysteretic single degree of freedom systems equipped with viscous dampers subjected to a fully nonstationary random process representing the seismic input. In this regard, a stochastic averaging/linearization technique is utilized to cast the original nonlinear stochastic differential equation of motion into a simple first‐order nonlinear ordinary differential equation for the nonstationary system response variance. In comparison with standard linearization schemes, the herein proposed technique has the significant advantage that it allows to handle realistic seismic excitations with time‐varying frequency content. Further, it allows deriving a formula for determining the nonlinear system response evolutionary power spectrum. By this way, ‘moving resonance’ effects, related to both the evolutionary seismic excitation and the nonlinear system behavior, can be observed and quantified. Several applications involving various system and input properties are included. Furthermore, various response parameters of interest for the seismic performance assessment are considered as well. Comparisons with pertinent Monte Carlo simulations demonstrate the reliability of the proposed technique. Copyright © 2014 John Wiley & Sons, Ltd.     

大跨度钢管混凝土拱桥在多维多点地震激励作用下的平稳随机响应

采用虚拟激励法计算了大跨度钢管混凝土拱桥在纵向、竖向、横向、三维多点激励作用下的均方响应,在此基础上探讨了各方向激励及三维激励的多点输入效应对钢管混凝土拱桥地震响应特性的影响。结果表明纵向和竖向激励的多点输入效应对结构响应有明显影响,而横向激励的多点输入效应可忽略。     

基础隔震结构对随机激励的响应分析

利用过滤白噪声地震动模型，对基础隔震结构进行了随机反应分析。建立了基础隔震结构的运动方程，推导了基础隔震结构位移、加速度对地面随机激励的传递函数表达式，计算了隔震结构与非隔震结构的均方根反应比值。讨论了基础隔震结构主要参数对结构反应的影响。     

Transport of water in frozen soil II. Effects of ice on the transport of water under isothermal conditions

Effects of ice on the transport of water in frozen soil were investigated under isothermal conditions. Based on the experimental results obtained using a marine-deposited clay at −1.0°C, the presence of ice is shown to significantly affect the transport of water under certain circumstances. A theoretical analysis of the experimental results and a discussion of a possible mechanism for water transport in frozen soil are presented.     

冻土场地地震反应分析研究中的关键问题探讨

总结了当前场地地震反应分析的计算方法与发展现状,得到寒区场地中由于冻土层结构的存在会对地震动的传播和场地的地震反应产生影响的结论。土体在冻结过程中其强度与刚度会显著增强,在地震过程中冻融土层界面的容易发生滑移破坏,并对场地地震反应和地震波的传递特征具有较大影响,是冻土场地地震反应分析中应当考虑的关键问题。鉴于当前场地地震反应计算方法不能模拟该界面的滑移特征的局限性,建议构建冻土场地地震反应计算新方法,并阐述了构建该方法所需要开展的基础性研究工作。     

Dynamic response of an eccentrically lined circular tunnel in poroelastic soil under seismic excitation

An exact analysis for two-dimensional dynamic interaction of monochromatic progressive plane compressional and shear seismic waves with a permeable circular tunnel lining of circumferentially varying wall thickness buried in a boundless porous elastic fluid-saturated formation is presented. The novel features of Biot dynamic theory of poroelasticity in conjunction with the translational addition theorems for cylindrical wave functions, along with the appropriate wave field expansions and the pertinent boundary conditions are employed to develop a closed-form solution in form of infinite series. The analytical results are illustrated with numerical examples in which an air-filled and water-saturated permeable tunnel lining of variable wall thickness, embedded within water-saturated surrounding formations of distinct frame properties (soft, stiff, and stiff viscoelastic soil), is insonified by fast compressional or shear waves at selected angles of incidence. The effects of liner eccentricity, interface permeability, formation material type, incident wave frequency, and angle of incidence on the hoop stress amplitude are evaluated and discussed for representative values of the parameters characterizing the system. Limiting cases are considered and good agreements with the solutions available in the literature are obtained.     

内罐影响下LNG储罐外罐地震响应分析

为了考虑内罐在不同方向地震动时对LNG(液化天然气)储罐外罐的影响,对有内罐和无内罐情况下LNG储罐外罐进行了地震响应分析。结果表明:有内罐时地震响应比无内罐时小,内罐的存在对LNG储罐抗震有好的影响;竖向地震波对结构振动的影响不能忽视。     

The dynamic response of seabed anchored floating tunnels under seismic excitation

In this paper a procedure for analysing the seismic response of seabed anchored floating tunnels is presented. The first step of the research was the development of an ‘ad hoc’ finite element for modelling the behaviour of anchor elements, with particular reference to the problem of transverse oscillations under time varying axial loads. The element was subsequently inserted in a step‐by‐step procedure for the numerical analysis of non‐linear response to multiple‐support seismic input; the procedure encompasses simplified modelling of fluid–structure and soil–structure interaction effects. An example of an application is given concerning two 4680 m long floating tunnels with different seabed profiles. Copyright © 2000 John Wiley & Sons, Ltd.     

地基土的随机地震反应的一个解法

利用连续线性系统的随机振动理论,研究非均匀地基土层地震的动力反应问题。假定土层的剪切模量随深度线性变化,得到土层的最大位移反应的均值和方差。引入结构微分算子,采用模态叠加法进行反应分析,与普通的分离变量法相比较,此方法概念明确、步骤简单。     

Transport of water in frozen soil: I: Experimental determination of soil-water diffusivity under isothermal conditions

A new experimental method for measuring the soil-water diffusivity of frozen soil under isothermal conditions is introduced. The theoretical justification of the method is presented and the feasibility of the method is demonstrated by experiments conducted using marine deposited clay. The measured values of the soil-water diffusivity are found comparable to reported experimental data.     

随机地震作用下损伤退化结构的可靠性评价

采用线性化模型对随机地震作用下考虑循环损伤累积的结构的可靠性进行了研究。认为低于临界值的循环为疲劳损伤累积作贡献。高于临界值的循环实现临界值超越，为破坏作贡献。只考虑损伤对结构动力反应的影响，而不考虑结构动力反应的改变对损伤的影响。探讨了宽带随机过程作用下，结构损伤的计算方法问题。给出了考虑单周损伤随周数的增加而减少的一种模型，及不同幅值作用下循环的破坏极限周数之间的关系。最终得到了结构损伤随循环次数增加的积累公式。在此基础上，利用初次超限理论，对结构的可靠性进行了评价。     

Evaluating model of frozen soil environment change under engineering actions

The change of frozen soil environment is evaluated by permafrost thermal stability, thermal thaw sensibility and surface landscape stability and the quantitatively evaluating model of frozen soil environment is proposed in this paper. The evaluating model of frozen soil environment is calculated by 28 ground temperature measurements along Qinghai-Xizang Highway. The relationships of thermal thaw sensibility and freezing and thawing processes and seasonally thawing depth, thermal stability and permafrost table temperature, mean annual ground temperature and seasonally thawing depth, and surface landscape stability and freezing and thawing hazards and their forming possibility are analyzed. The results show that thermal stability, thermal thaw sensibility and surface landscape stability can be used to evaluate and predict the change of frozen soil environment under human engineering action.     

Stratification response of soil water content during rainfall events under different rainfall patterns

Many researchers have studied the influence of rainfall patterns on soil water movement processes using rainfall simulation experiments. However, less attention has been paid to the influence under natural condition. In this paper, rainfall, soil water content (SWC), and soil temperature at 10‐, 20‐, 30‐, 40‐, and 50‐cm depths were simultaneously monitored at 1‐min intervals to measure the variation in SWC (SWCv) in response to rainfall under different rainfall patterns. First, we classified rainfall events into four patterns. During the study period, the main pattern was the advanced rainfall pattern (38% of all rainfall events), whereas the delayed, central, and uniform rainfall patterns had similar frequencies of about 20%. During natural rainfall, rainwater rapidly passed through the top soil layers (10–40 cm) and was accumulated in the bottom layer (50 cm). When a high rainfall pulse occurred, the water storage balance was disturbed, resulting in the drainage of initial soil water from the top layers into the deeper layers. Therefore, the critical function of the top layers and the bottom layers was infiltration and storage, respectively. The source of water stored in the bottom layer was not only rainfall but also the initial soil water in the upper soil layers. Changes in soil temperature at each soil depth were comonitored with SWCv to determine the movement characteristics of soil water under different rainfall patterns. Under the delayed rainfall pattern, preferential flows preferred to occur. Under the other rainfall patterns, matrix flow was the main form of soil water movement. Rainfall amount was a better indicator than rainfall intensity for SWCv in the bottom layer under the delayed rainfall pattern. These results provide insights into the responses of SWCv under different rainfall patterns in northern China.