共查询到19条相似文献，搜索用时 656 毫秒
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在大跨度桥梁设计中,抗风是工程师们最关心的问题之一,也是桥梁动力稳定问题的重要研究领域。本文按照广义力和广义位移之间的对应关系,将相空间的弹性动力学的基本方程乘上相应的虚量,然后积分,代数相加,并考虑到体积力和面积力均为伴生力,建立了适用于研究大跨度桥梁流固耦合初值问题相空间的两类变量的广义拟余能原理。应用该原理,解决了一个非保守桥梁流固耦合问题的具体算例。并且讨论了如何应用非保守系统的广义拟变分原理进行大跨度桥梁近似计算的问题。 相似文献
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振动能量下砂土的体变与孔隙水压力 总被引：4，自引：0，他引：4
本文建立了砂土在振动能量下的体积变化和孔隙水压力生长的新型本构关系。鉴于砂土的非线性振动反应和多因素的影响,文中采用了内缓变理论(Endochronic Theory)将本构关系表达为单一的内缓变量(软化参数)的函数。 试验证明在基于建议的本构关系计算的孔隙水压力值与相应的振动能量下,福建标准砂试样中产生的孔隙水压力很接近。同时又根据该本构关系预估了实际地震能量下饱水砂层中孔隙水压力的反应,回判地震液化势,获得了较满意的结果,具有一定的实用性。 相似文献
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将饱和土体视为由弹性骨架和不可压缩流体组成的两相孔隙介质,取固相位移,液相位移,孔隙水压力为场变量。从两相孔介质的动力耦合微分方程出发,利用伽辽金原理和Ｗｉｌｓｏｎ－θ法导出了三场有限元积分方法,该方法可进行二维非均匀饱和土体的地震反应分析,文中通过算例讨论了非均匀饱和土体地震反应的一些特征。 相似文献
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地下管线多点地震激励纵向振动的级数解 总被引：14，自引：1，他引：14
本文将地下管线的总位移分为两部分,一部分是由场地位移引起的拟静态位移,另一部分是由结构的惯性和阻尼引起的动态位移。将场地位移按空间坐标展开成Fourier级数,代入微分方程,求出拟静态位移的级数解;动态位移用振型分解法求解,是相应的级数形式。将动态位移和拟静态位移相加即得管线的总位移反应。经算例验证,用本文方法只取级数的前几项就能得到足够精确的结果。 相似文献
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用于弹性波模拟的交错网格预处理和多次校正的Chebyshev谱元法 总被引：1，自引：1，他引：0
本文基于弹性波动方程,从其弱形式出发,利用Galerkin变分原理,通过对方程进行空间和时间上的离散,在空间域中引入预条件共轭梯度的逐元算法,在时间域中引入时间积分的交错网格预处理/多次校正算法,发展了弹性波模拟的Chebyshev谱元算法。针对均匀固体介质和具有倾斜分层的分区均匀固体介质模型,通过与有限差分算法结果相比较验证其精度的可信性,同时利用该算法模拟了弹性波在具有水平分层的任意起伏自由表面模型中的传播,并分析了其传播特点。研究表明,我们提出的交错网格预处理/多次校正算法的Chebyshev谱元算法,保留了有限元法的优势,并且采用了具有最优张量乘积技术的元到元的算法,能够处理带有起伏自由表面的复杂介质模型,它具有比有限元法收敛快,计算效率较高等优点,特别适合于复杂结构和复杂介质中的弹性波传播的数值模拟。 相似文献
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用变分坡恩迭代方法重建二维非均匀介质结构 总被引：2，自引：1，他引：1
提出了用于二维轴对称非均匀介质结构的反演和成像的一种新的反演迭代方法－变分坡恩迭代方法（ＶＢＩＭ）,首先利用玻恩近似将非线民生积分方程线性化,然后应用变分方法导出用于反演的电场积分方程,正演数据则利用高效的数值模式匹配方法获得,数值结果表明,ＶＢＩＭ与ＢＩＭ相比,其收敛速度,成像质量等均得到较大的改善。 相似文献
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青海省共和7.0级地震前兆的数值模拟 总被引：2，自引：0，他引：2
在共和地区简化的介质模型上，应用固液两相介质的本构关系，模拟计算了1990年共和7.0级地震的前兆特征．结果表明，模拟得到的介质状态分布、扩展变化与共和地震前可靠异常的时空分布规律大体相似．由此得知，共和地震的孕育经历了大面积弹性变形——早期的非弹性膨胀——西宁周围地区的应变软化与弹性恢复——震源附近高密度地体的非弹性膨胀——发震等过程．可以看出，它既不是一个简单的裂隙发育贯通过程，也不是孕震区非弹性体积膨胀、进水过程，而是介质多种状态此起彼伏的复杂进程，其具体程式受震源及周围地区的地质构造环境所决定．由此得出，不同地震孕育的地质构造环境不可能相同，其前兆显示的时空分布规律也必然不同． 相似文献
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—?We introduce a conceptual model for the in-plane physics of an earthquake fault. The model employs cellular automaton techniques to simulate tectonic loading, earthquake rupture, and strain redistribution. The impact of a hypothetical crustal elastodynamic Green's function is approximated by a long-range strain redistribution law with a r ?p dependance. We investigate the influence of the effective elastodynamic interaction range upon the dynamical behaviour of the model by conducting experiments with different values of the exponent (p). The results indicate that this model has two distinct, stable modes of behaviour. The first mode produces a characteristic earthquake distribution with moderate to large events preceeded by an interval of time in which the rate of energy release accelerates. A correlation function analysis reveals that accelerating sequences are associated with a systematic, global evolution of strain energy correlations within the system. The second stable mode produces Gutenberg-Richter statistics, with near-linear energy release and no significant global correlation evolution. A model with effectively short-range interactions preferentially displays Gutenberg-Richter behaviour. However, models with long-range interactions appear to switch between the characteristic and GR modes. As the range of elastodynamic interactions is increased, characteristic behaviour begins to dominate GR behaviour. These models demonstrate that evolution of strain energy correlations may occur within systems with a fixed elastodynamic interaction range. Supposing that similar mode-switching dynamical behaviour occurs within earthquake faults then intermediate-term forecasting of large earthquakes may be feasible for some earthquakes but not for others, in alignment with certain empirical seismological observations. Further numerical investigation of dynamical models of this type may lead to advances in earthquake forecasting research and theoretical seismology. 相似文献
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Shizuo Ban 《地震工程与结构动力学》1973,2(2):133-141
A combined structure is assumed to be composed of a rigid part and a flexible part. Each component structure would have a different period of natural vibration if it were built independently. When they are combined in one structure and subjected to an earthquake, there must be generated some interaction forces so that the component structures will have a common vibration. In this paper is an analytical method described to evaluate such interaction forces The general principle is as follows. For each of the component structures, equations of motion taking account of the unknown interaction forces are derived first. Then by eliminating the interaction forces, equations of motion of the combined structure are obtained. After solving these equations and substituting the solution into the equations of motion of the component structures, the unknown interaction forces are obtained directly In the present paper, two structures corresponding to two-degree elastic systems are considered; numerical examples also are included. 相似文献
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A systematic numerical method has been presented to investigate the constitutive relationships between two-phase flow properties of horizontal fractures and aperture distributions. Based on fractal geometry, single rough-walled fractures are generated numerically by modified successive random addition (SRA) method and then aperture distributions with truncated Gaussian distribution are formed by shear displacement between lower and upper surfaces. (The truncated Gaussian distribution is used to describe aperture evolution under different normal stresses.) According to the assumption of two-dimensional porous media and local parallel plate model, invasion percolation approach is employed to model the two-phase flow displacement (imbibition) in generated horizontal fractures, in which capillary forces are dominant over viscous and gravity forces. For truncated Gaussian distributions, constitutive relationships from numerical simulation are compared to closed-form relationships and a good agreement is obtained. The simulation results indicate strong phase interference with the sum of two phase relative permeability values being less than one in the intermediate saturations. It is found that fracture properties related to residual saturations depend on spatial correlation of aperture distributions. Based on the simulation results, we proposed an empirical relationship between the fracture residual-saturation-rated parameters and the corresponding aperture distributions. 相似文献
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In this article, we have derived a new and more general formulation of Love waves in arbitrarily irregular multi-layered media by using the global generalized reflection/transmission (abbreviated to R/T thereafter) matrices method developed earlier by Chen [17~20]. From the basic principle that the modal solutions are the non-trivial solutions of the free elastodynamic equation under appropriate boundary conditions, we naturally derived the characteristic frequencies and the corresponding distorted modes of Love wave in irregular multi-layered media. Moreover, we have derived the corresponding excitation formulation of Love waves in such laterally heterogeneous media by using the general solution of elastodynamic equation [17~20]. Similar to the result for laterally homogeneous layered structure, the Love waves radiated from a point source in irregular multi-layered media can be expressed as a superposition of distorted modes. Since the structure model used here is quite arbitrary, it can be used for so 相似文献
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基于广义S变换研究地震地层特征 总被引：12，自引：15，他引：12
将S变换引入到地震地层研究中,用广义S变换代替短时Fourier变换或连续小波变换,用于地震数据频谱分解和提取地震旋回特征.为此,首先研究了S变换的性质及其与短时Fourier变换、连续小波变换的比较,进一步给出广义S变换的特点,说明其如何获得更高分辨率.同时,对前述方法进行数值实现,模型数据试算结果表明算法的正确和有效性.在上述工作基础上,本文首次提出用广义S变换进行地震频谱分解和研究地震旋回,给出实现策略及2D实际地震数据试算结果,证明方法的有效性,为进一步实用化奠定理论和方法基础. 相似文献
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The effect of soil conditions on strength reduction factors (SRFs) is investigated. Both site effect and soil-structure interaction (SSI) effect are considered in the study with special emphasis on the latter effect. The structure is modeled as an elasto-plastic single degree of freedom (SDOF) system, whereas the underlying soil is considered as a homogeneous half-space. The half-space is also replaced by a simplified 3DOF system, based on the concept of Cone Models. The whole 4DOF model is then analyzed under a total of 54 strong motions recorded on different soil types. A parametric study is done for a wide range of non-dimensional parameters, which completely define the problem. It is concluded that SSI reduces the SRF values, especially for the case of buildings located on soft soil. Consequently, using the fixed-base SRFs for soil-structure systems lead to non-conservative design forces. Simplified expressions are proposed to estimate SRF for soil-structure systems. 相似文献
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Summary In processing observed data one frequently encounters the problem of substituting a set of observed values of two variables by a continuous functions. This function is selected in the form of a polynomial with powers of the variable x. A test characteristic is then constructed, F, which has a Fisher probability distribution. The test characteristic has a simple form when orthogonal polynomials are used. By succesive application of the test of the hypothesis that the function is expressed by a polynomial of a given degree the degree and the form of the polynomial is determined. 相似文献
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《Advances in water resources》2005,28(4):345-358
Nearly all generalized wave continuity (GWC)-based models utilize the velocity-based, non-conservative form of the momentum equation to obtain the depth-averaged changes in velocity. It has been hypothesized that a flux-based, conservative form of the momentum equation may improve accuracy and stability. Herein, we study the impact of the choice of dependent variable and form of the momentum equation in a GWC-based finite element shallow water model. The impact of this change on mass balance, stability, and accuracy (spatial and temporal) is rigorously assessed, first for 1D barotropic flows and then for 2D barotropic flows in a variety of basins. Both 1D and 2D results indicate that the conservative form improves mass balance on both global and local scales, with the most significant gains found in local mass balance in areas with steep bathymetry gradients. This is also the region where the conservative form shows an increase in local spatial accuracy. Taylor series analysis and numerical simulations indicate a strong correlation between local spatial truncation errors and local mass balance errors. Stability, temporal accuracy and global spatial accuracy do not show statistically significant changes between the two algorithms in both 1D and 2D studies. 相似文献