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1.
The response of buried pipelines to random excitation by earthquake forces is obtained using a lumped mass model. The earthquake is considered as a stationary random process characterized by a power spectral density function (PSDF). The cross spectral density function between two random inputs along the length of the pipe is defined with the help of the local earthquake PSDF which is the same for all points, and a frequency dependent exponentially decaying (with distance) function. Soil resistance to dynamic excitation along the pipelength is obtained in an approximate manner with the help of frequency independent impedance functions derived from half-space analysis and Mindlin's static stresses within the soil due to point loads. The proposed method has the advantage that it can take into consideration the cross terms in soil stiffness and damping matrices and can consider any boundary condition that needs to be satisfied at the ends of the pipe. A parametric study is also made to show the influence of cross terms in the soil stiffness and damping matrices on the response of the pipe. 相似文献
2.
A method is presented for stochastic modelling of a design earthquake by a power spectral density function for seismic analysis of structures. The method can be adopted with information currently available in the form of design response spectra for earthquake motion. Accurate seismic responses of structures can be easily obtained using such stochastic models. The methods for accurate response analysis of structures with closely spaced modes and for generation of floor response spectra of a building using a prescribed ground response spectrum directly are also presented. The hypothesis that a design earthquake can be modelled by a power spectral density function is used only implicitly in developing these methods. 相似文献
3.
A method is presented for the determination of the transverse response of the idealized suspended span of an offshore pipeline to random seismic input. The method is based on spatial discretization of the pipe with nodal lumped masses. The earthquake is assumed to be a stationary random process characterized by a power spectral density function. The cross spectral density function between two random seismic excitations along the pipe length is defined with the help of a local earthquake power special density function, which is assumed to be the same for the two end supports of the pipeline, and a frequency dependent weighted function which decays exponentially with distance from the pipe supports. The solution is obtained in the frequency domain using the spectral approach and is presented in terms of r.m.s. displacements and stresses. The formulation adequately includes the pressure drag effect which tends to dampen the pipe motions. Utilizing this method of analysis, several idealized pipe sea bed configurations, in which the pipe is anchored between two end blocks and subjected to horizontal ground excitations normal to the pipe axis, have been analysed to predict the influence of certain important parameters on the response. 相似文献
4.
土层对地震的随机反应分析 总被引：32，自引：1，他引：31
利用随机振动理论,本文研究了非均匀土层对地震的动力反应问题,假定土层的剪切模量随深度呈指数函数形式分布,关于基岩输入地震动加速度的功率谱密度函数,考虑了两种形式：白噪声谱和有色谱,为了比较起见,文中考虑了均匀土层的情形,数值计算表明;（１）在基岩输入地震动加速度的功率谱密度为白谱的情况下,土层的最大期望反应（相对位移,绝对加速度,剪应变）大于基岩输入地震动的功率谱为有色谱的情形;（２）在土层的上部 相似文献
5.
地震动功率谱与反应谱的转换关系 总被引：11，自引：0，他引：11
本文详细评述了现今常用的几种加速度反应谱与功率谱的转换关系。对于小阻尼单质点体系而言，考虑到输入地震动是一非平稳的随机过程，又由于其传递函数的窄频带滤波特性，它的加速度反应将是一窄频带的非平稳随机过程。对于峰值系数水平的超越不是独立的，而是成群超越。据此本文考虑非平稳效应和对峰值系数水平的成群效应，对前人的转换关系进行了修正，并基于随机振动理论，给出了对工程上常用的频率平稳、强度非平稳的地震;动模型的功率谱和反应谱的转换关系。此转换关系对于长、短持时的地震动记录和反应谱长、短周期部分以及不同阻尼比的反应谱都能给出精度较高的结果。 相似文献
6.
Jiang Jinren Lu Qinnian and Sun JingjiangInstitute of Engineering Mechanics SSB Harbin ChinaHarbin University of Architecture Engineering Harbin China 《中国地震研究》1995,(4)
The statistical characteristics of strong ground motion specified by response spectrum and power spectral density function are studied using 190 strong-motion records of the Haicheng and Tangshan earthquakes in China and 138 earthquakes in the western United States.The response spectrum is normalized by the peak ground acceleration(i.e.,represented as spectral magnification factor),and the power spectral density function is described by the Kanai-Tajimi spectrum.The statistics and dependence of parameters are evaluated,and correlations between the spectral magnification factor or Kanai-Tajimi spectral parameters and the site condition,epicentral distance,or local magnitude are investigated.The statistical characteristics of spectra China and the U.S.A.are compared.Based on the results obtained the values of the statistics on spectral parameters for earthquake engineering applications in China are suggested. 相似文献
7.
从反应谱求功率谱的精确方法及其应用 总被引：6，自引：2，他引：4
本文对由反应谱求功率谱的近似公式的误差进行了讨论,从而说明了精确求解地震动功率谱的必要性,并从构造函数的特征出发,提出了一类符合要求的构造函数族,同时对其参数的取值加以讨论。最后给出了一个算例,展示了从反应谱求功率谱的精确方法与近似方法在数值上的差别,以及对人造地震动的影响。 相似文献
8.
Time history methods to perform structural dynamic analysis for vulnerability, seismic risk and structural performance studies are frequent in all kinds of projects. To apply these methods it is necessary to have earthquake acceleration records consistent with the seismic characteristics of the zone where the structure or facilities will be constructed. In regions where seismic activity is important but recorded history is scarce, the simulation of acceleration records becomes necessary.In the present work, a methodology to simulate artificial acceleration records is presented. This methodology is based on the theory of non-stationary random processes with evolutive power spectral density function. The random process model proposed uses the definition of the Boore power spectral density function, in order to take into account the seismic mechanism of the zone. The zone of Mendoza, in the province of Cuyo in Argentina close to the border with Chile, was selected to make applications of the theory. This zone was selected because it has important seismic activity but the information about this activity is scarce. To evaluate the performance of the method some response and seismic variables such as response spectra, Arias evolutionary intensity, and power spectra were computed. The results were compared with actual earthquake data obtained in the region. 相似文献
9.
An integrated approach for addressing the problem of synthesizing artificial seismic accelerograms compatible with a given displacement design/target spectrum is presented in conjunction with aseismic design applications. Initially, a stochastic dynamics solution is used to obtain a family of simulated non-stationary earthquake records whose response spectrum is on the average in good agreement with the target spectrum. The degree of the agreement depends significantly on the adoption of an appropriate parametric evolutionary power spectral form, which is related to the target spectrum in an approximate manner. The performance of two commonly used spectral forms along with a newly proposed one is assessed with respect to the elastic displacement design spectrum defined by the European code regulations (EC8). Subsequently, the computational versatility of the family of harmonic wavelets is employed to modify iteratively the simulated records to satisfy the compatibility criteria for artificial accelerograms prescribed by EC8. In the process, baseline correction steps, ordinarily taken to ensure that the obtained accelerograms are characterized by physically meaningful velocity and displacement traces, are elucidated. Obviously, the presented approach can be used not only in the case of the EC8, for which extensive numerical results/examples are included, but also for any code provisions mandated by regulatory agencies. In any case, the presented numerical results can be quite useful in any aseismic design process dominated by the EC8 specifications. 相似文献
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The problem of determining optimal power spectral density models for earthquake excitation which satisfy constraints on total average power, zero crossing rate and which produce the highest response variance in a given linear system is considered. The solution to this problem is obtained using linear programming methods. The resulting solutions are shown to display a highly deterministic structure and, therefore, fail to capture the stochastic nature of the input. A modification to the definition of critical excitation is proposed which takes into account the entropy rate as a measure of uncertainty in the earthquake loads. The resulting problem is solved using calculus of variations and also within linear programming framework. Illustrative examples on specifying seismic inputs for a nuclear power plant and a tall earth dam are considered and the resulting solutions are shown to be realistic. 相似文献
12.
Magneto-rheological elastomers (MREs) are used to construct composite structures for micro-vibration control of equipment
under stochastic support-motion excitations. The dynamic behavior of MREs as a smart viscoelastic material is characterized
by a complex modulus dependent on vibration frequency and controllable by external magnetic fields. Frequency-domain solution
methods for stochastic micro-vibration response analysis of the MRE-based structural systems are developed to derive the system
frequency-response function matrices and the expressions of the velocity response spectrum. With these equations, the root-mean-square
(RMS) velocity responses in terms of the one-third octave frequency band spectrum can be calculated. Further, the optimization
problem of the complex moduli of the MRE cores is defined by minimizing the velocity response spectra and the RMS velocity
responses through altering the applied magnetic fields. Simulation results illustrate the influences of MRE parameters on
the RMS velocity responses and the high response reduction capacities of the MRE-based structures. In addition, the developed
frequency-domain analysis methods are applicable to sandwich beam structures with arbitrary cores characterized by complex
shear moduli under stochastic excitations described by power spectral density functions, and are valid for a wide frequency
range. 相似文献
13.
以反应谱和功率谱密度函数表征的强震运动的统计特性 总被引：1，自引：0，他引：1
文中利用我国海城和唐山地震１９０条强震记录和美国西部１３８条强震记录研究了以反应谱和功率谱密度函数表征的强震运动的统计特性。反应谱用最大地面加速度归一化，即表为谱放大系数，功率谱密度函数用金井清谱描述。文中研究了参数的统计值和依赖性，以及谱放大系数和金井清谱参数与场地条件、震源和震中距等之间的相关性，分析比较了中美两国强震运动谱的统计特性，并对我国地震工程应用的强震运动谱的统计参数值的选取提出了建议。 相似文献
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15.
Izuru Takewaki 《地震工程与结构动力学》2001,30(4):519-535
Since earthquake ground motions are very uncertain even with the present knowledge, it is desirable to develop a robust structural design method taking into account these uncertainties. Critical excitation approaches are promising and a new non‐stationary random critical excitation method is proposed. In contrast to the conventional critical excitation methods, a stochastic response index is treated as the objective function to be maximized. The power (area of power spectral density (PSD) function) and the intensity (magnitude of PSD function) are fixed and the critical excitation is found under these restrictions. It is shown that the original idea for stationary random inputs can be utilized effectively in the procedure for finding a critical excitation for non‐stationary random inputs. The key for finding the new non‐stationary random critical excitation is the exchange of the order of the double maximization procedures with respect to time and to the power spectral density function. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
16.
Considerable effort has been devoted to develop optimal control methods for reducing structural response under seismic forces. In this study analytical solution of the linear regulator problem applied widely to the control of earthquake‐excited structures is obtained by using the sufficient conditions of optimality even though almost all of the optimal controls proposed previously for structural control are based on the necessary conditions of optimality. Since the resulting optimal closed–open‐loop control cannot be implemented for civil structures exposed to earthquake forces, the solution of the optimal closed–open‐loop control is carried out approximately based on the prediction of the seismic acceleration values in the near future. Upon obtaining the relation between the exact optimal solution and future values of seismic accelerations, it is shown numerically that the solution of the optimal closed–open‐loop control problem can be performed approximately by using only the first few predicted seismic acceleration values if a given norm criteria is satisfied. Calculated performance measures indicate that the suggested approximate solution is better than the closed‐loop control and as we predict the future values of the excitation more accurately, it will approach the optimal solution. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
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与建筑抗震设计规范相对应的地面地震动随机模型参数研究 总被引：4，自引：0，他引：4
根据《建筑抗震设计规范(GB50011—2001)》的反应谱曲线,确定了基于Clough-Penzien修正过滤白噪声模型的参数取值。采用时间包络函数考虑地震的非平稳特性,根据加速度峰值等效原则迭代计算得到地面的加速度功率谱密度曲线,然后通过曲线拟合得到与规范各种地震烈度、场地类别和设计地震分组相对应的谱参数。计算结果表明,与规范相对应的加速度功率谱密度曲线呈双峰型,Clough-Penzien谱能较好地拟合其曲线形状。最后给出了规范各种工况下的地面加速度功率谱参数值,为随机抗震计算分析提供了依据。 相似文献
19.
本文基于Housner谱烈度公式中存在的不足和问题提出了一种改进算法,首先将相对速度反应谱积分公式上下限范围扩大为0.1～10.1 s,通过统计分析集集地震、汶川地震和芦山地震反应谱积分值和宏观烈度之间的关系,给出8组分档线性公式来计算改进谱烈度值Is,并采用普通克里金插值法绘制谱烈度分布图。本文提出的改进算法在地震动加速度时程积分与谱烈度之间建立起一组长周期、连续性和精细化的函数关系,经鲁甸地震对比验证,该改进算法得出的谱烈度分布图与宏观烈度图整体变化趋势一致,谱烈度值与宏观烈度吻合率(偏差±1度以内)约为90%,具有一定的科学性和准确性,可为灾后应急救援以及决策部署等提供科学的数据支撑。 相似文献
20.
基于《电力设施抗震设计规范》的地震动随机模型参数研究 总被引：3，自引：0，他引：3
依据《电力设施抗震设计规范》（GB50260-96）中的设计反应谱,对随机地震动功率谱参数的取值进行了具体研究。首先,采用时间包络函数考虑地震的非平稳特性,给出了地震动持时的取值;然后,根据加速度峰值等效原则,迭代计算得到地面的加速度功率谱密度曲线;最后,选定Clough-Penzien修正过滤白噪声模型作为拟合函数,通过非线性拟合技术拟合了与《规范》中的地震烈度、场地类别相对应的谱参数。研究结果表明,Clough-Penzien修正过滤白噪声模型能较好地拟合其曲线形状。本文给出了相对于规范中的地面加速度功率谱参数值,可供这种模型作为地震地面运动输入时选用。 相似文献