布尔莎-沃尔夫转换模型的几何证明

理论研究和实际计算中,常要涉及到两个不同空间直角坐标系之间的转换问题,转换模型推导与证明是复杂的,需要扎实的空间解析几何及矩阵方面的知识,让普通人难以理解。实际上,只要我们能够化繁为简,换个思路,用平面几何的简单公式亦能证明。     

基于社会感知计算的游客时空行为研究

在情景感知、大数据、移动互联网和物联网发展的大背景下,迎合社会感知计算发展的趋势,探讨旅游社会感知计算内涵及其应用。在分析了现实地理世界、游客行为研究和社会感知计算之间关系的基础上,探讨旅游管理、传感器、游客活动和推理机的相互作用,构建了四位一体的游客行为社会感知计算概念模型。同时以西安国内游客为例,在新浪微博数据的支持和旅游社会感知计算框架下,探讨西安国内游客的时空共现和旅游流空间转移,探明了游客之间的相互关系和旅游空间行为及旅游流空间网络特征,为游客行为研究提供了思路和借鉴。同时在目前社会感知计算研究进展的基础上,展望了旅游社会感知计算未来的发展方向。     

多重孔岩石微分等效介质模型及其干燥情形下的解析近似式

经典的微分等效介质(DEM)理论可用于确定多孔介质的弹性性质,但由于缺乏多重孔DEM方程,其估计的多重孔岩石的等效弹性模量依赖于包裹体(即不同孔隙纵横比的孔或缝)的添加顺序.本文首先从Kuster-Toksöz理论出发建立了Zimmermann和Norris两种形式的多重孔DEM方程.Norris形式的多重孔DEM方程预测的等效弹性模量总是位于Hashin-Shtrikman上下限内,而Zimmermann形式的多重孔DEM方程有时会越界.然后,通过使用干燥岩石模量比的解析近似式,对两个相互耦合的Norris形式DEM方程进行解耦得到干燥多重孔岩石的体积和剪切模量解析式.用全DEM方程的数值解对解析近似式的有效性进行了测试,解析公式的计算结果在整个孔隙度分布区间与数值解吻合良好.对实验室测量数据在假设岩石含有双重孔隙的情形下用双重孔DEM解析公式对岩石的弹性模量进行了预测,结果表明,解析式准确地预测了弹性模量随孔隙度的变化.双重孔(即软、硬孔)DEM解析模型可用来反演各孔隙类型的孔隙体积比,它可以通过实验室测量与理论预测之间的平方误差最小反演得到.砂岩样品的反演结果揭示,软孔的孔隙体积百分比与粘土含量没有明显的相关性.     

Development and validation of nonlinear computational models of dispersed structures under strong earthquake excitation

Structural health monitoring of large multispan flexible bridges is particularly important because of their important role in civil infrastructure and transportation systems. In this study, the response of the Yokohama Bay Bridge (YBB), a three‐span cable‐stayed bridge, to the 2011 Great East Japan Earthquake is used to perform multi‐input multi‐output system identification studies. The extensive multicomponent measurements are also used to develop and validate data‐driven nonlinear mathematical models that can predict the response of YBB to various earthquake records and can accurately estimate its damping characteristics when the system is driven into the nonlinear response range. A combination of least‐square (parametric) and neural network (nonparametric) approaches is used to develop the mathematical models, along with time‐marching techniques for dynamic response calculations. It is shown that the nonlinear mathematical models perform better than the equivalent linear models, both for response prediction and damping estimation. The importance of having an accurate approach for quantifying the damping due to the variety of nonlinear features in the YBB response is shown. This study demonstrates the significance of constructing robust mathematical models that can capture the correct physics of the underlying system and that can be used for computational purposes to augment experimental studies. Given the lack of suitable data sets for full‐scale structures under extreme loads, the availability of the long‐duration measurements from the 2011 Great East Japan Earthquake and its many strong aftershocks provides an excellent opportunity to perform the analyses presented in this study. Copyright © 2013 John Wiley & Sons, Ltd.     

列车振动荷载作用下南京细砂累积变形预测公式对比分析

列车振动荷载引起的路基长期沉降问题一直是影响列车正常运营的重要因素。首先,采用GDS空心圆柱扭剪仪对新近沉积的南京细砂重塑样进行循环三轴试验研究。在该基础上,通过总结国内外学者研究的累积变形模型公式,并与试验数据进行对比,分析了已有多种公式应用于南京细砂动力累积变形的预测时的可行性,给出了相关预测公式的模型参数参考值。根据试验结果,考虑试验围压对土体累积变形的影响规律,对部分公式进行了初步修正,扩大了相关预测公式的使用范围。研究成果对长江中下游轨道交通路基的长期沉降预测具有一定的指导意义和参考价值。     

基于Peck公式的双线盾构引起的土体沉降预测

基于Peck公式,对双线水平平行盾构隧道施工中土体损失引起的三维土体沉降计算方法进行研究。考虑先行隧道施工对后行隧道的影响和两条隧道开挖面的不同位置,建立修正的三维Peck公式;通过分别计算先行盾构隧道和后行盾构隧道施工引起的土体沉降,叠加得到双线水平平行盾构施工引起的总的三维土体沉降。算例分析结果表明：预测值与实测值比较吻合;随着两条隧道开挖面前后距离的逼近,地面最大沉降量会逐渐增大;随着土体深度z的增大,沉降略增大、沉降槽宽度则略减小;当两条隧道轴线水平距离L较小时,地面沉降量较大,符合正态分布规律;随着L的增大,最大地面沉降量会逐渐减小,沉降曲线形状慢慢由V型转变成W型。     

EMPIRICAL-NUMERICAL ANALYSIS OF HEADCUT MIGRATION

1INTRODUCTION A headcut is a vertical or near-vertical drop or discontinuity on the channel bed of a stream,rill or gully,at which a free overfall flow often occurs,as shown in Fig.1.A headcut is usually eroded by the action of hydraulic stress,basal sapping,weathering,or the combination of these processes.Headcut erosion can accelerate soil loss,increase sediment yields in streams,damage earthen spillways,and disturb bank stability.Therefore,the prediction of headcut migration is a very …     

地壳形变与密度变化耦合运动探析

为整体解释现代大地测量数据,提出了地壳变形与密度变化耦合运动的基本思想;分析了地壳变形与密度变化耦合运动的基本理论;导出了由地壳形变与密度变化耦合运动引起的重力时间变化一般严格公式。     

一类球谐函数与三角函数乘积积分的计算

本文根据球谐函数的跨次递推公式和三角函数的性质,详细推导了在重力梯度调和分析中出现的一类球谐函数积分的跨次递推公式和递推初始值的计算公式。数值试验表明,球谐函数跨次递推算法具有快速、稳定的优点。该类积分的跨次递推实现,为卫星重力梯度调和分析奠定了算法基础。     

Recent Advances in Predictability Studies in China （1999-2002）

Since the last International Union of Geodesy and Geophysics (IUGG) General Assembly (1999), the predictability studies in China have made further progress during the period of 1999-2002. Firstly, three predictability sub-problems in numerical weather and climate prediction are classified, which are concerned with the maximum predictability time, the maximum prediction error, and the maximum allowable initial error, and then they are reduced into three nonlinear optimization problems. Secondly, the concepts of the nonlinear singular vector (NSV) and conditional nonlinear optimal perturbation (CNOP) are proposed,which have been utilized to study the predictability of numerical weather and climate prediction. The results suggest that the nonlinear characteristics of the motions of atmosphere and oceans can be revealedby NSV and CNOP. Thirdly, attention has also been paid to the relations between the predictability and spatial-temporal scale, and between the model predictability and the machine precision, of which the investigations disclose the importance of the spatial-temporal scale and machine precision in the study of predictability. Also the cell-to-cell mapping is adopted to analyze globally the predictability of climate,which could provide a new subject to the research workers. Furthermore, the predictability of the summer rainfall in China is investigated by using the method of correlation coefficients. The results demonstrate that the predictability of summer rainfall is different in different areas of China. Analysis of variance, which is one of the statistical methods applicable to the study of predictability, is also used to study the potential predictability of monthly mean temperature in China, of which the conclusion is that the monthly mean temperature over China is potentially predictable at a statistical significance level of 0.10. In addition,in the analysis of the predictability of the T106 objective analysis/forecasting field, the variance and the correlation coefficient are calculated to explore the distribution characteristics of the mean-square errors.Finally, the predictability of short-term climate prediction is investigated by using statistical methods or numerical simulation methods. It is demonstrated that the predictability of short-term climate in China depends not only on the region of China being investigated, but also on the time scale and the atmospheric internal dynamical process.