长周期波浪激发矩形港池多模态共振研究

长和宽接近的矩形港池存在横向、纵向及横纵向混合共振模态。采用基于混合有限元的椭圆型缓坡方程数值模型模拟不同波浪入射角的低频波浪激发矩形港池的多模态共振,并分析不同平面布置形式的矩形港池模态响应特性。结果表明,斜向波浪会激发港池的横向共振模态,其放大因子受入射角度影响较大,而纵向共振模态的放大因子受入射角度影响较小。口门宽度对港池的共振模态个数与放大因子均有影响,具体为:随着口门宽度增加,各阶模态放大因子减小。口门位置对纯横向以及纯纵向共振的振荡模式有显著影响,而对横向纵向混合模态影响较小。各阶模态放大因子的大小和波节线与波腹线与口门的相对位置密切相关。     

矩形棱柱体重力位三阶梯度张量正演计算公式

基于位场理论推导出矩形棱柱体重力位三阶梯度张量正演计算的解析公式,采用理论模型对比解析公式与重力位二阶梯度张量中心差分的计算结果,并以是否满足拉普拉斯方程作为检验标准,对推导公式的正确性进行验证。     

Theoretical Analysis of Bearing Capacity of Shallowly Embeded Rectangular Footing of Marine Structures

In this paper, the finite element analysis software ABAQUS is used to analyze the ultimate bearing capacity of three-dimensional rectangular footing of marine structures. The deformation law and the failure mode of homogeneous seabed soil beneath the rectangular footing are analyzed in detail. According to the equivalent plastic strain of soil under rectangular footing, an allowable velocity field of homogeneous seabed soil is reasonably constructed. Based on the plastic limit analysis theory of soil mass and by using the Mohr-Coulomb yield criterion, an upper bound solution of the ultimate bearing capacity of three-dimensional rectangular footing on general homogeneous seabed soil is derived, and a correction factor of ultimate bearing capacity of three-dimensional rectangular footing is given. To verify the rationality and applicability of this theoretical solution, some numerical solutions are achieved using the general-purpose FEM analysis package ABAQUS, and comparisons are made among the derived upper bound solution, the solution of Vesic, and the solution of Salgado et al. The results indicate that the upper bound solution of the three-dimensional shallowly embedded rectangular footing proposed in this paper is accurate in calculating the bearing capacity of homogeneous seabed soil. For undrained saturated clay foundation and sandy foundation with smaller internal friction angle, this upper bound solution can evaluate the ultimate bearing capacity of rectangular footing; with the gradual increase of the internal friction angle of the soil, the ultimate bearing capacity of the proposed upper bound solution is slightly higher than that of the rectangular footing.     

桩列透空堤的水动力计算

分析了平面渡与桩列透空堤的相互作用.根据对矩形桩列上力平衡原理和非线性流阻等水动力学特征分析,导出一组计算反射、传递系数和波浪荷载的理论公式.计算公式内所有参数均是已知的,用它们预测的结果与现有的试验数据很好吻合.     

大地坐标系与投影坐标系

在物探化探工作中,所有的测点在陆地、海洋、空中均有它唯一的空间位置。在工作的不同阶段,测点位置按工作设计要求采用不同的方式予以标示。在实地观测时,测点定位采用全球定位系统GPS（DGPS）,由大地坐标系的大地坐标标示测点位置。在展示工作成果时,则采用投影坐标系的平面直角坐标标示测点位置。这里介绍了大地坐标系、常用投影坐标系的建立与特征,投影坐标系的选择与应用,不涉及具体的计算公式。     

矩形箱涵拉顶式施工中掘进机头拉力的计算

系统地介绍了矩形箱涵拉顶式施工中,掘进机头轴线方向的倾侧纠偏、机头顶进间歇防回缩所需的拉力的计算方法,并通过工程实例印证。根据理论分析和相应的计算公式可以得出矩形箱涵采用＂拉顶式＂工艺施工时,在其接受井内配置的拉力较为精确的计算结果,并能满足实际工程的需要。     

Dynamic analysis of flexible rectangular fluid containers subjected to horizontal ground motion

In this paper, an analytical method is proposed to determine the dynamic response of 3‐D rectangular liquid storage tanks with four flexible walls, subjected to horizontal seismic ground motion. Fluid–structure interaction effects on the dynamic responses of partially filled fluid containers, incorporating wall flexibility, are accounted for in evaluating impulsive pressure. The velocity potential in which boundary conditions are satisfied is solved by the method of separation of variables using the principle of superposition. The impulsive pressure distribution is then computed. Solutions based on 3‐D modeling of the rectangular containers are obtained by applying the Rayleigh–Ritz method using the vibration modes of flexible plates with suitable boundary conditions. Trigonometrical functions that satisfy boundary conditions of the storage tank such that the flexibility of the wall is thoroughly considered are used to define the admissible vibration modes. The analysis is then performed in the time domain. Moreover, an analytical procedure is developed for deriving a simple formula that evaluates convective pressure and surface displacements in a similar rigid tank. The variation of dynamic response characteristics with respect to different tank parameters is investigated. A mechanical model, which takes into account the deformability of the tank wall, is developed. The parameters of such a model can be obtained from developed charts, and the maximum seismic loading can be predicted by means of a response spectrum characterizing the design earthquake. Accordingly, a simplified but sufficiently accurate design procedure is developed to improve code formulas for the seismic design of liquid storage tanks. Copyright © 2013 John Wiley & Sons, Ltd.     

Reproduction of temporal scaling by a rectangular pulses rainfall model

The presence of scaling statistical properties in temporal rainfall has been well established in many empirical investigations during the latest decade. These properties have more and more come to be regarded as a fundamental feature of the rainfall process. How to best use the scaling properties for applied modelling remains to be assessed, however, particularly in the case of continuous rainfall time‐series. One therefore is forced to use conventional time‐series modelling, e.g. based on point process theory, which does not explicitly take scaling into account. In light of this, there is a need to investigate the degree to which point‐process models are able to ‘unintentionally’ reproduce the empirical scaling properties. In the present study, four 25‐year series of 20‐min rainfall intensities observed in Arno River basin, Italy, were investigated. A Neyman–Scott rectangular pulses (NSRP) model was fitted to these series, so enabling the generation of synthetic time‐series suitable for investigation. A multifractal scaling behaviour was found to characterize the raw data within a range of time‐scales between approximately 20 min and 1 week. The main features of this behaviour were surprisingly well reproduced in the simulated data, although some differences were observed, particularly at small scales below the typical duration of a rain cell. This suggests the possibility of a combined use of the NSRP model and a scaling approach, in order to extend the NSRP range of applicability for simulation purposes. Copyright © 2002 John Wiley & Sons, Ltd.     

一种改进的Delaunay-三角网内插方法

GIS领域经过多年的研究和发展,一些与DEM相关的基本算法如Delaunay-三角网创建算法、矩形格网跟踪等高线算法等已逐渐趋向成熟。然而伴随技术的发展,用户对相关算法和软件的要求也不断提高,从而产生了一些问题。本文主要针对DEM处理过程中常见的问题,结合项目实践,研究分析目前常规处理算法的特点和缺点,提出新的改进方法。通过若干重大项目实际生产实践验证,优化后的算法在结果的正确性、稳定性上均有较大提升,同时,提高了作业效率,与传统方法相比具有较大优势。     

矩形沟埋涵洞顶部垂直土压力试验和理论研究

针对无黏性填土,通过模型试验和理论分析的方法研究矩形沟埋刚性涵洞顶部的垂直土压力。考虑胸腔土体的作用,建立了沟埋涵洞土压力的计算模型和计算公式,结果表明,计算值与试验值相吻合。沟槽宽度等于涵洞外径时,洞顶土压力系数随填土高度的增大呈单调减小的变化规律;沟槽宽度大于涵洞外径时,洞顶土压力系数随填土高度的增大呈先增后减的变化规律;洞顶填土厚度等于初始等沉面高度时,土压力系数最大。槽洞宽比加大时,土压力系数、等沉面高度按双曲线规律增大,7倍洞径的沟槽宽度近似为沟埋式涵洞和上埋式涵洞的临界槽宽。填土内摩角增大时,土压力系数增大。洞顶填土厚度增大,等沉面高度减小。