APPLYING GRADIENT PROJECTION AND CONJUGATE GRADIENT TO THE OPTIMUM OPERATION OF RESERVOIRS1

The recent versions of nonlinear programming techniques such as the conjugate gradient and the gradient projection algorithms are used to obtain the optimal operating conditions of a multiple reservoirs system with multiple purposes. These algorithms are compared with other techniques in the literature. The conjugate gradient method incorporates the advantages of both the generalized Newton-Raphson, also known as the quasilinearization technique, and the gradient approach while avoiding their major drawbacks. To illustrate the technique, a water resources system with three reservoirs and a tabular objective function is solved by the two algorithms.     

地震复杂性成因的数值模拟

以最简单的弹簧滑块模型为理论基础,由完全确定性的动力学公式出发,采用细胞自动机技术,研究模拟地震序列时、空、强复杂性的成因。当模型中仅有非线性动力学因素时,模拟序列的时空强特征十分复杂,当引入弹性结构的不均匀性,模拟大事件的空间和强度特征明显受控于断层的不均匀性。由模拟结果推测认为地震的复杂性是由于地球的不均匀性和断层破裂的非线性动力学相互作用而引起的。     

A PARTITIONING PROCEDURE FOR WATER QUALITY MANAGEMENT MODELS1

ABSTRACT: An improved computational procedure for solving water quality management models containing interacting pollutants and control policies is presented. The method is developed with respect to the specific problem of minimizing the costs of basin-wide thermal and organic pollution control to meet water quality standards. It views the problem in partitioned form where a master problem is used to find cooling levels for thermal polluters while subproblems determine optimal organic pollutant reductions for fixed cooling levels. A gradient based search procedure is used to solve the master problem. Computational results for several river systems are presented. Application of the method to other water quality management models is suggested.     

NONLINEAR DUPUIT EQUATIONS FOR THE PHREATIC SURFACE OF A SEMI-INFINITE AQUIFER1

ABSTRACT. We present a new approach to the nonlinear equations for the phreatic surface of groundwater flow from or into a reservoir. The differential equation is converted into an equivalent integral equation, which is then solved by a method of iteration. We obtain exact results for both drawdown and infiltration, including the special case of groundwater penetration into dry soil.     

FOURIER INFERENCE: SOME METHODS FOR THE ANALYSIS OF ARRAY AND NONGAUSSIAN SERIES DATA1

Fourier inference is a collection of analytic techniques and philosophic attitudes, for the analysis of data, wherein essential use is made of empirical Fourier transforms. This paper sets down some basic results concerning the finite Fourier transforms of stationary process data and then, to illustrate the approach, uses those results to develop procedures for: 1) estimating cloud and storm motion, 2) passive sonar and 3) fitting finite parameter models to nonGaussian time series via bispectral fitting. This last procedure is illustrated by an analysis of a stretch of Mississippi River runoff data. Examples 1), 2) refer to data having the form Y(x_j, y_j, t) for j = 1, …, J and t = 0, …, T-l say, and view that data as part of a realization of a spatial-temporal process. Such data has become common in geophysics generally and in hydrology particularly. The goal of this paper is to present some new statistical procedures pertinent to problems in the water sciences, equally it is to illustrate the genesis of those procedures and how their properties may be approximated.     

On the Performance and Applicability of Nonlinear Two-Equation Turbulence Models for Urban Air Quality Modelling

It is well known that the commonly used k- turbulence models yield inaccurate predictions for complex flow fields. One reason for this inaccuracy is the misrepresentation of Reynolds stress differences. Nonlinear turbulence models are capable to overcome this weakness while being not considerably more complex. However no comprehensive studies are known which analyze the performance of nonlinear turbulence models for three-dimensional flows around building-shaped structures. In the present study the predictions of the flow around a surface-mounted cube using three nonlinear two-equation turbulence models are discussed. The results are compared with predictions of the standard k- turbulence model and wind tunnel measurements. It is shown that the use of nonlinear turbulence models can be beneficial in predicting wind flows around buildings.     

基于最大Lyapunov指数分析的尾矿坝浸润线控制混沌方法

为了改善尾矿坝浸润线状况，提出了一种控制混沌方法。该方法对时间序列叠加一个周期振动，通过最大Lyapunov指数分析，来判别叠加前后系统混沌特性的变化，进而实现控制混沌。应用这种方法，分析了银山铅锌矿尾矿坝浸润线实测数据。结果表明，叠加周期振动可以降低最大Lyapunov指数。最大Lyapunov指数的降低程度与振动周期成负相关，与振幅成正相关。采用控制混沌方法，即对尾矿排放、库水位调节、排渗、不同尾矿库的使用等措施进行周期性控制，可以提高尾矿坝安全度，实现尾矿坝科学管理。中还以防洪高度为例，具体分析了尾矿坝工程中的控制混沌，表明该方法在应用上是可行的。     

考虑岩体损伤的爆破振动速度衰减多元非线性模型

为准确预测爆破振动的衰减规律,控制爆破振动的影响,分析了现有的几种具有代表性的爆破振动预测经验公式的不足;在此基础上,引入岩体累计损伤对爆破振动效应的影响,经过无量纲分析,建立了岩体累计损伤下爆破振动衰减规律的多元非线性数学模型;根据实际工程的监测数据,用1stOpt 软件进行了多元非线性回归分析。结果表明:所提出的多元非线性回归公式预测精度高于传统的预测公式,能为同类露天爆破工程提供科学的指导。     

外包钢-混凝土组合梁与钢管混凝土柱连接节点的滞回性能研究

为研究外包钢-混凝土组合梁与钢管混凝土柱连接节点的抗震性能,基于外包钢-混凝土组合梁与钢管混凝土柱连接节点低周反复荷载作用下的试验结果和有限元的模拟,分析了两类试验节点的滞回特性,提出外包钢-混凝土组合梁与钢管混凝土柱连接节点的三折线恢复力模型及其特征参数的取值范围,并给出恢复力模型表达式。结果表明,试件具有良好的耗能能力,建立的恢复力模型骨架曲线与试验值接近;有限元与试验所得的滞回曲线及骨架曲线在弹性阶段吻合较好,随着荷载的反复,两者之间的差异逐渐增大。     

火灾下工程结构连续性倒塌分析与设计方法探讨

给出了火灾下工程结构连续性倒塌的定义,分析了工程结构在火灾作用下的特点,并给出了火灾连续性倒塌判断流程。在介绍目前常用的工程结构抗连续性倒塌分析设计方法的基础上,提出了采用替代路径法中的非线性静力分析方法对建筑结构进行火灾作用下抗连续性倒塌设计的思路。