CALCULATING THE DYNAMIC STIFFNESS MATRIX OF 2-D FOUNDATIONS BY DISCRETE WAVE NUMBER INDIRECT BOUNDARY ELEMENT METHODS

Apart from some special cases, calculating the dynamic stiffness matrix of foundations on a layered half-space, especially for embedded foundations, is computationally expensive. An efficient method for two-dimensional foundations in a horizontally layered soil media is presented in this paper. This method is based on indirect boundary element methods and uses discrete wave number solution methods for calculating Green's functions for displacements and analytical methods for the integrations over the boundary. For surface foundations, the present method applies at all frequencies. For embedded foundations or for constructing energy transmitting boundaries, because the free-field part is modelled by boundary elements and the excavated part is modelled by finite elements, the present method applies only at low frequencies for the spring coefficients (the real parts of the dynamic stiffness matrix) but applies at all frequencies for the damping coefficients (the imaginary part of the dynamic stiffness matrix) for undamped sites. The novelty of the method can be used for three-dimensional foundations. © 1997 by John Wiley & Sons, Ltd.     

变荷载下双层地基一维非线性固结近似解析解

目前考虑土体非线性压缩及渗透特性的双层地基非线性固结解均假定土体固结系数保持不变,能反映固结系数变化的双层地基非线性固结解还很鲜见。引入经典的e- 和e- 非线性关系描述土体的非线性压缩、渗透特性,在假定双层地基上、下土层压缩指数与渗透指数比值 相等且不等于1的基础上,得到变荷载下考虑土体固结系数变化的双层地基一维非线性固结近似解。该解答在 1条件下可退化为已有的 1时双层地基一维非线性固结解。基于此解探讨了双层地基上、下土层参数的相对比值对非线性固结性状的影响。结果表明：单面排水条件下 越小,下层土与上层土的相对压缩性越低、相对渗透性越高,则双层地基非线性固结速率越快;减小 值,增加双层地基中压缩性小、渗透性高的土层的厚度,会加快地基的固结速率。     

具有低频超宽衰减域的部分埋入式表面波屏障

针对低频Rayleigh表面波,设计了部分埋入式工字形截面周期波屏障。利用有限元方法计算了结构的频散曲线,分析了带隙的形成机理,讨论了屏障埋入土体深度和截面参数对带隙的影响,在此基础上设计了具有低频超宽衰减域的梯度及分段梯度波屏障并计算了其传输谱。结果表明:周期波屏障存在较宽带隙,板埋入深度和端部尺寸是影响带隙的关键参数,通过参数调节可实现不同频段Rayleigh波的调控。工字形变截面波屏障比等截面具有更优越的隔震性能且节省材料。梯度及分段梯度波屏障显著拓宽了衰减域的频率范围,对1.5~20 Hz范围内的Rayleigh表面波实现了全覆盖,用小尺寸控制了大波长。     

Analytical solution of seismic response of base-isolated structure with supplemental inerter

Closed-form solutions are derived for the modal characteristics and seismic response of a base-isolated structure equipped with additional inerters. By simplifying the structure-isolator-inerter system in terms of the two-degree-of-freedom (2DOF) model, the modal frequencies, mode shapes, damping ratios, and participation factors of the system are derived. Consequently, analytical seismic response solutions are formulated by the modal superposition method. Utilizing these analytical solutions, an extensive parametric study has been carried out to investigate the effect of supplement inerters on both the modal characteristics and seismic response of the structure-isolator-inerter system. There is a critical inertance leading to the zero second modal participation factor (ie, the disappearance of the second modal response). The associated critical inertance ratio is derived in closed form as well. Moreover, it is observed that the reduction of deformation of isolators by increasing the inertance may be offset by the increase in relative displacements of the superstructure. To circumvent this adverse effect, an optimal range of inertance is identified whereby both the deformation of isolators and the relative displacement of the superstructure are mitigated concurrently.     

基于混合回归模型的夏季高温日数预测

本文以变化比较激烈的高温日数为对象,通过加权叠加、周期波动以及尺度比较等理论分析提出一种短期气候预测观点,即长周期波动可用当地前期各种气象要素的长周期波动的某种函数表示,而短周期波动依然与大范围周边环境因子的变化有关。采用功率谱分析、逐步回归、方差分析等常用统计手段和二项式平滑方法,建立长周期波动和波动偏差比的预报方程,在此基础上得到高温日数的预报方程。应用该方法对合肥地区的高温日数进行了预测试验,利用滚动预报得到13个预报样本。在13个试测样本中,有11个样本试测较为准确,试测准确率达到84．6％。在试测不准确的2个样本中,误差有5～6d,而且它们出现在高温日数相对较多的年份,因此试测效果令人满意。     

Three-dimensional topography corrections of magnetotelluric data

Topographic effects due to irregular surface terrain may prevent accurate interpretation of magnetotelluric (MT) data. Three-dimensional (3-D) topographic effects have been investigated for a trapezoidal hill model using an edge finite-element method. The 3-D topography generates significant MT anomalies, and has both galvanic and inductive effects in any polarization. This paper presents two different correction algorithms, which are applied to the impedance tensor and to both electric and magnetic fields, respectively, to reduce topographic effects on MT data. The correction procedures using a homogeneous background resistivity derived from a simple averaging method effectively decrease distortions caused by surface topography, and improve the quality of subsurface interpretation. Nonlinear least-squares inversion of topography-corrected data successfully recovers most of structures including a conductive or resistive dyke.     

1961-2014年石家庄地区降水量的时空变化特征

利用石家庄地区5个代表站1961-2014年的逐日降水资料,采用多种统计分析方法,分析了石家庄地区降水量的时空变化特征,结果表明石家庄地区年降水量从20世纪70年代开始下降,80年代达到最低,90年代有所增加,但也没有明显的上升趋势,21世纪初又开始下降.20世纪70年代降水量的减少春季和秋季贡献最大,80年代降水量的减少和90年代降水量的增加主要是夏季的贡献.石家庄地区年降水量起伏较大,1963年降水量最多,为1038.4 mm,2014年最少,仅为276.2 mm.近54年石家庄年降水量在波动中呈现下降趋势,线性趋势为-11.0 mm/（10 a）,但下降趋势并不明显.石家庄北部年降水量呈上升趋势,市区及东部、南部和西部年降水量均呈下降趋势,变化趋势均不明显.近54年,石家庄春季降水量呈上升趋势,线性趋势为0.9 mm/（10 a）,夏季、秋季和冬季降水量均呈下降趋势,线性趋势分别为-11.9,-1.1和-0.3 mm/（10 a）,上升或下降趋势均不明显.夏季降水减少是导致石家庄年降水减少的主要原因.石家庄四季降水量变化趋势的空间分布具有明显的季节特征和区域特征.石家庄四季降水量均存在显著周期变化.     

Third-Order Stokes Wave Solutions of the Free Surface Capillary-Gravity Wave and the Interfacial Internal Wave

Based on the Stokes wave theory, the capillary-gravity wave and the interfacial internal wave in two-layer constant depth''s fluid system are investigated. The fluids are assumed to be incompressible, inviscid and irrotational. The third-order Stokes wave solutions are given by using a perturbation method. The results indicate that the third-order solutions depend on the surface tension, the density and the depth of each layer. As expected, the first-order solutions are the linear theoretical results (the small amplitude wave theoretical results). The second-order and the third-order solutions describe the nonlinear modification and the nonlinear interactions. The nonlinear impact appears not only in the n (n≥2) times'' high frequency components, but also in the low frequency components. It is also noted that the wave velocity depends on the wave number, depth, wave amplitude and surface tension.