矩形容器中流体晃动等效模型的建议公式

根据矩形容器中流体晃动等效模型的精确解,采用非线性拟合算法,给出了等效模型中脉冲质量及其位置的拟合公式,本文给出的拟合公式比精确解简单、且计算精度远高于Housner公式,可以作为精确解良好的替代公式。建议采用本文公式(3)～(8)作为矩形容器内流体晃动等效模型的计算表达式。     

基于黏弹性边界的二维沉积盆地非线性地震响应分析

建立弹性基岩上覆软土场地中二维沉积盆地非线性地震响应分析的有限元模型。模型截断边界定义为黏弹性人工边界,地震波动以等效结点荷载的形式输入,土体的非线性特征以等效线性法模拟,求解在频域内进行。首先,借助高精度的有限元-间接边界元耦合法,验证模型的可靠性。其次,基于某一沉积盆地开展地震动数值计算,针对其线性与非线性响应的差异性进行分析。最后,通过比较非线性条件下自由场与存在盆地地形场地的响应结果,讨论盆地局部地形对地震动的影响。研究表明,土体的非线性特征对盆地地震响应有显著影响,在盆地中心附近有可能出现非线性地震响应大于线性响应的特殊现象;与自由场相比,盆地内的非线性地震响应普遍明显放大。     

库水模型及库水深度对拱坝动力响应的影响

基于接触非线性有限元模型,以锦屏一级拱坝为例,库水分别采用附加质量模型、可压缩流体有限元模型、不可压缩流体有限元模型计算了正常蓄水位及运行低水位时坝体的动力响应,结果表明:库水模型对拱坝动力响应有较大影响,随库水深度的增大,各模型计算结果差异增大;相比于流体可压缩模型,采用不可压缩流体模型所得动力响应普遍偏大;运行低水位工况,由于静水压力减小导致拱效应减弱,从而降低了拱坝的整体性,因此运行低水位工况各缝开度普遍高于正常蓄水位工况,且其拉应力范围较大,因此,运行低水位工况将对抗震设计起控制作用。     

地震道非线性反演的参数反馈控制及效果

基于非线性动力学,阐明地震道广义线性反演系统的动力学性质,并以微分动力系统理论分析了反演的数值计算过程及结果．应用混沌控制理论对反演数值计算中的非线性发散进行了讨论,并给出了一种新的控制方案,数值模型实验表明此控制方案对反演中出现的非线性发散能够进行有效控制,反演结果与理论模型完全吻合．在此基础上对大庆某地的地震剖面进行处理,取得了一定的效果．     

大型河谷场地地震动特性研究

采用有限差分方法,通过算例研究了大型河谷场地地震动特性分析中的人工边界的选取方法,对比分析了不同人工边界的选取对数值模拟结果的影响,确定了散射场地震反应分析输入边界的地震动输入方法,认为在进行有限差分动力计算时,模型两侧施加自由场边界的模拟效果要优于两侧施加粘性边界的模拟效果;同时,对FLAC计算软件进行二次开发,对2个地形差异较大的河谷场地,采用线性和非线性摩尔-库仑模型进行了地震反应对比分析,研究了河谷场地地震动幅值和频谱特性随地形变化的规律。模拟数据表明,河谷场地谷底处地震动基本无放大作用,地势凸起处放大作用则较为明显;当考虑土体非线性时,随着地震动强度的增加,放大作用逐渐减小;谱分析结果表明,地势凸起处受高频地震动的影响显著,而地势平坦的谷底则受低频地震动的影响显著。     

基于FE-IBE耦合方法的地铁车站抗震分析

提出了地下结构非线性地震响应分析的一个FE-IBE耦合方法,通过等效线性化分析考虑土体非线性特性。该耦合方法的特点之一是有限元子域和间接边界元子域相互独立,非常适合并行计算,提高计算效率;特点之二是能够同时考虑近场区域(有限元子域)和远场区域(间接边界元子域)的土体非线性。通过与FLUSH和ANSYS的计算结果相比较,验证了本文耦合方法的正确性和计算精度。以天津某深厚软土场地中双层地铁车站为例,比较分析了土体线性和非线性两种工况下车站结构的地震内力和层间变形。本文算例中,非线性情况下车站结构最大弯矩和层间变形较线性情况均增大近50%。     

考虑桩土作用的储罐模拟地震振动台试验

为研究考虑桩土相互作用的储液罐的动力响应及长周期地震波对储液晃动、储罐提离的影响,根据量纲分析法设计了桩-土-储罐模型进行了振动台试验。试验中采用4条基岩波、4条地表波进行振动台试验。试验显示基岩波与地表波输入时,体系变化规律基本一致,其结果表明:土体地表加速度被放大,且输入加速度峰值增加,地表加速度放大倍数减小;一般地震波时,随着输入加速度峰值的增加,储液晃动波高大致呈线性增加。长周期地震波下则为非线性增加,且晃动波较大。此外,液体产生的晃动波高与储罐类型相关。细高型储罐产生的波高稍大;储罐提离高度随着输入加速度峰值的增加呈非线性增长。长周期地震波激励下,储罐提离高度小于一般地震波时的提离高度。细高型储罐在长短周期地震波激励下,提离高度较为接近,而一般储罐在两种地震波激励下,提离高度相差较大。细高型储罐提离高度大于一般储罐的提离高度。建议在储罐设计时考虑长周期地震波的影响。     

结构附加粘滞阻尼器的抗震设计

本文结合抗震设计规范反应谱,给出了一个附加非线性流体粘滞阻尼器结构的抗震设计方法。研究了非线性阻尼器的力学特性,引入了非线性流体阻尼器的等效线性阻尼比,给出了计算最大加速度时刻附加非线性流体阻尼器结构反应的荷载组合系数,提出了按阻尼力的水平力分量与楼层剪力成正比的原则分配阻尼器阻尼系数的方法。同时给出了基于抗震规范设计反应谱附加非线性阻尼器结构的设计流程,通过一个算例说明了使用该方法设计附加非线性粘滞阻尼器结构的全过程。算例分析表明,这种设计方法适合于手算,便于设计人员掌握,在初步设计阶段可以快速、有效地设计满足给定性能水平的附加非线性流体阻尼器体系。     

土-结构体系的混合约束模态法在ANSYS中实施研究

为了使提出的线性-非线性混合约束模态综合法能在商业软件中得到应用,本文对该方法在ANSYS软件中的运用进行了研究。对ANSYS中的超单元进行了深入分析,将线性-非线性混合约束模态综合法线性部分的处理作为超单元生成的过程,并根据基于势能判据的截断模态准则,运用Matlab自编了程序,求得子结构的截取主模态数,对存在局部非线性的土-高层框架结构相互作用进行了地震反应分析;进而对采用粘弹性人工边界与自由边界状况进行了比较,讨论分析了两种土体边界对线性-非线性混合的约束模态综合法自由度缩减的影响。     

基于混合波场地震动输入技术的近海场地地震反应分析方法

基于人工边界子结构模型,提出一种利用混合波场实现近海场地中地震P波和SV波垂直输入的方法.该方法中用于波动输入的混合波场由计算模型两侧截断边界的自由波场和底面边界的入射波场构成,避免了不规则近海场地的自由波场求解.同时采用基于声流体单元的流固耦合算法模拟场地-海水动力相互作用,利用流体介质人工边界和黏弹性人工边界单元模...     

Fluid–structure interaction analysis of 3-D rectangular tanks by a variationally coupled BEM–FEM and comparison with test results

A variationally coupled BEM–FEM is developed which can be used to analyse dynamic response, including free-surface sloshing motion, of 3-D rectangular liquid storage tanks subjected to horizontal ground excitation. The tank structure is modelled by the finite element method and the fluid region by the indirect boundary element method. By minimizing a single Lagrange function defined for the entire system, the governing equation with symmetric coefficient matrices is obtained. To verify the newly developed method, the analysis results are compared with the shaking-table test data of a 3-D rectangular tank model and with the solutions by the direct BEM–FEM. Analytical studies are conducted on the dynamic behaviour of 3-D rectangular tanks using the method developed. In particular, the characteristics of the sloshing response, the effect of the rigidity of adjacent walls on the dynamic response of the tanks and the orthogonal effects are investigated. © 1998 John Wiley & Sons, Ltd.     

Investigation of nonlinear sloshing effects in seismically excited tanks

Nonlinear behavior of liquid sloshing inside a partially filled rectangular tank is investigated. The nonlinearity in the numerical modeling of the liquid sloshing originates from the nonlinear terms of the governing equations of the fluid flow and the liquid free surface motion as a not known boundary condition. The numerical simulations are performed for both linear and nonlinear conditions. The computed results using linear conditions are compared with readily available exact solution. In order to verify the results of the nonlinear numerical solution, a series of the shaking table tests on rectangular tank were conducted. Having verified linear and nonlinear numerical models, they are used for computation of near wall sloshing height at a series of real scale tanks (with various dimensions) under the both harmonic and earthquake base excitation. Finally, the nonlinear effects on liquid sloshing modeling are discussed and the practical limitations of the linear solution in evaluating the response of seismically excited liquids are also addressed.     

A SPH simulation on large-amplitude sloshing for fluids in a two-dimensional tank

Smoothed particle hydrodynamics(SPH) is a mesh-free adaptive Lagrangian particle method with attractive features for dealing with the free surface flow.This paper applies the SPH method to simulate the large-amplitude lateral sloshing both with and without a floating body,and the vertical parametrically-excited sloshing in a two-dimensional tank.The numerical results show that the SPH approach has an obvious advantage over conventional mesh-based methods in handling nonlinear sloshing problems such as violent fluid-solid interaction,and flow separation and wave-breaking on the free fluid surface.The SPH method provides a new alternative and an effective way to solve these special strong nonlinear sloshing problems.     

Sloshing analysis of rectangular tanks with a submerged structure by using small-amplitude water wave theory

A new sloshing analysis method for rectangular tank systems with a submerged structure are proposed by using the velocity potential and the linear water wave theory. The velocity potential functions are obtained by decomposing the surface wave into a wall-induced wave, reflected and transmitted waves, and a scattered wave. A simplified method using a response spectrum for zero damping is also proposed. The results of the simplified method are in good agreement with those of the analytical method. The sloshing response of the fluid-structure system is found to be very sensitive to the characteristics of the ground motion and the configuration of the system. Under typical earthquakes, the submerged structure shows a tendency to decrease sloshing amplitude, hydrodynamic pressure, and base shear, while it shows a tendency to increase the overturning moment. For the ground excitation dominated by low-frequency contents, the sloshing response increases significantly and the contribution of the higher sloshing modes increases. Copyright © 1999 John Wiley & Sons, Ltd.     

高阶晃动振型对LNG储罐地震响应的影响

为了研究高阶晃动振型对LNG储罐地震响应的影响,考虑高阶晃动振型,建立LNG储罐的简化力学模型,推导LNG储罐的运动控制方程,给出了LNG储罐的基底剪力、倾覆弯矩和储罐内液体晃动波高的表达式。以某16×10⁴ m³ LNG储罐为例,采用大型通用有限元分析软件ADINA System对其进行有限元模型分析,验证其修正模型的有效性,结果表明:高阶晃动振型对基底剪力和倾覆弯矩几乎无影响,但对晃动波高影响显著,尤其是长周期地震动作用下,并且考虑高阶晃动振型的晃动波高存在延时效应。提出的简化力学模型修正公式与有限元分析结果吻合较好,可以准确地预测LNG储罐地震响应。     

LARGE AMPLITUDE LIQUID SLOSHING IN SEISMICALLY EXCITED TANKS

An innovative method of analysis was developed to simulate the non-linear seismic finite-amplitude liquid sloshing in two-dimensional containers. In view of the irregular and time-varying liquid surface, the method employed a curvilinear mesh system to transform the non-linear sloshing problem from the physical domain with an irregular free-surface boundary into a computational domain in which rectangular grids can be analysed by the finite difference method. Non-linearities associated with both the unknown location of the free surface and the high-order differential terms were considered. The Crank–Nicolson time marching scheme was employed and the resulting finite difference algorithm is unconditionally stable and very lightly damped with respect to the temporal co-ordinate. In order to minimize numerical instability caused by the computational dispersion in spatially discretized surface wave, a second-order dissipation term was added to the system to filter out the spurious high-frequency waves. Sloshing effects and structural response were measured in terms of sloshing amplitude, base shear and overturning moment generated by the hydrodynamic pressure of the liquid exerted on the container walls. Simulation results of liquid sloshing induced by earthquake and harmonic base excitations were compared with those of the linear wave theory and the limitations of the latter in assessing the response of seismically excited liquids were addressed.     

A model of tuned liquid damper for suppressing pitching motions of structures

A tuned liquid damper (TLD), which consists of rigid tanks partially filled by liquid, is a type of passive control device relying upon liquid sloshing forces or moments to change the dynamical properties and to dissipate vibrational energy of a structure. An analytical non-linear model is proposed for a TLD using rectangular tanks filled with shallow liquid under pitching vibration, utilizing a shallow water wave theory. The model includes the linear damping of the sloshing liquid, which is an important parameter in the study of a TLD as it affects the efficiency of the TLD. Shaking table experiments were conducted for verification; good agreement between the analytical simulations and the experimental results was observed in a small excitation amplitude range. The simulations of TLD-structure interaction by using the proposed model show that the TLD can efficiently suppress resonant pitching vibration of a structure. It is also found that the effectiveness of a TLD for suppressing the pitching vibration depends not only on the mass of liquid in the TLD but also on the configuration of the liquid as well as upon the position where the TLD is located. If the configuration of the liquid, i.e. the liquid depth and the TLD tank size, is designed suitably, the TLD can have a large suppressing moment and can be very effective even with a small mass of liquid.     

Equivalent mechanical models of sloshing fluid in arbitrary‐section aqueducts

This paper reports on a semi‐analytical/numerical method to model sloshing water in an arbitrarily shaped aqueduct. The water motion is assumed to be inviscid, compressible, and linear (small displacement). The transverse sloshing fluid in an aqueduct is equivalently simplified as a fixed rigid mass M₀ and a mass–spring system (M₁, K₁). According to a rule that the actual fluid (computed with finite element model) and its equivalent mechanical model have the same first sloshing frequency and acting effects on the aqueduct, the analytical solutions of the fixed (impulsive) mass M₀, sloshing (convective) massM₁, spring stiffness K₁, and their locations in the aqueduct body are acquired by the least squares (curve fitting) algorithm. Applying this equivalent principle, the equivalent mechanical models are respectively obtained for the sloshing water in rectangular, semicircular, U‐shaped, and trapezoid aqueducts. The equivalent principle and fluid models are validated through comparison investigations involving rectangular and U‐shaped aqueducts. The dynamic properties and seismic responses of the original and equivalent systems are simulated, compared, and discussed for a U‐shaped aqueduct bridge. The main purpose of this paper is to provide a simplified model of sloshing fluid for the seismic/wind‐resistant computation of the support structures of the aqueduct bridge. Copyright © 2011 John Wiley & Sons, Ltd.     

Experimental and numerical analyses of vibrations induced by high-speed trains on the Córdoba–Málaga line

This paper has two main purposes. One is to present and analyse soil and structural vibration data obtained experimentally during certification testing of the high-speed train line between Córdoba and Málaga (Spain) that was opened on December 2007. The second is to show the capabilities of a three-dimensional boundary element method (BEM)/finite element method (FEM) numerical approach for the analysis of train induced vibrations. The model can represent local soil conditions, discontinuities such as underpasses, as well as structures placed next to the rail track. Vibrations in those structures can be computed taking into account, in a rigorous way, dynamic soil–structure interaction and local soil properties. Experimental and numerical results at several points near the track are compared. Results for an overhead contact support structure are also evaluated. The comparison of numerically predicted and recorded results shows that the model is reliable for predicting the amplitude of vibrations produced in the soil and nearby structures by high-speed trains.     

Sloshing behaviours of rectangular and cylindrical liquid tanks subjected to harmonic and seismic excitations

A numerical and experimental study on the sloshing behaviours of cylindrical and rectangular liquid tanks is addressed. A three‐dimensional boundary element method for space with the second‐order Taylor series expansion in time is established to simulate the sloshing phenomenon and its related physical quantities inside a liquid tank subjected to horizontal harmonic oscillations or recorded earthquake excitations. The small‐scale model experiments are carried out to verify some results of numerical methods in this study. The comparisons between numerical and experimental results show that the numerical method is reliable for both kinds of ground excitations. Finally, the water wave and the base shear force of a rectangular tank due to harmonic excitation are also presented at different frequencies. A huge cylindrical water tank subjected to a recorded earthquake excitation is used for application and discussion. Copyright © 2007 John Wiley & Sons, Ltd.