Analytical exploration of γ-function explicit method for pseudodynamic testing of nonlinear systems

It has been well studied that the γ-function explicit method can be effective in providing favorable numerical dissipation for linear elastic systems. However, its performance for nonlinear systems is unclear due to a lack of analytical evaluation techniques. Thus, a novel technique is proposed herein to evaluate its efficiency for application to nonlinear systems by introducing two parameters to describe the stiffness change. As a result, the numerical properties and error propagation characteristics of the γ-function explicit method for the pseudodynamic testing of a nonlinear system are analytically assessed. It is found that the upper stability limit decreases as the step degree of nonlinearity increases; and it increases as the current degree of nonlinearity increases. It is also shown that this integration method provides favorable numerical dissipation not only for linear elastic systems but also for nonlinear systems. Furthermore, error propagation analysis reveals that the numerical dissipation can effectively suppress the severe error propagation of high frequency modes while the low frequency responses are almost unaffected for both linear elastic and nonlinear systems.     

Effects of calculation procedure and sampling site on trap method estimates of sediment resuspension in a shallow lake

Resuspension estimates given by two different trap methods in a shallow lake were compared. The sensitivity of the methods to errors in estimates of gross sedimentation and organic fraction of trapped material was explored. The methods were label method, in which resuspension is estimated by determining the organic fraction of surface sediment, suspended seston and trapped material, and SPIM/SPM method, where the relationship between settling particulate inorganic matter (SPIM) and total settling particulate matter (SPM) is used. During the whole 111 day study period, according to the label method, at a sheltered station 1949 g m⁻² dry weight of sediment was resuspended, whereas SPIM/SPM gave an estimate of 1815 g m⁻². The difference in the estimates was probably due to mineralization loss of organic material in the traps during the two week exposure periods. Sensitivity analysis showed that of the two methods, the label method was more sensitive to variations in the organic content of trapped material. At a wind-exposed station, the total amounts of resuspended matter given by the label method and by the SPIM/SPM method were 4966 g m⁻² and 4971 g m⁻², respectively. Due to wind effects, escape of trapped material took place, which caused underestimation of gross sedimentation and compensated the effects of mineralization loss to diminish the difference between the methods. Of the two methods, the SPIM/SPM method seems thus more suitable for lakes, where bacterial activity is high. If cyanobacterial blooms take place, the label method is probably more reliable, providing that the exposure time of sediment traps is kept adequately short.     

GPS网中已知点粗差探测时限差的研究

在利用附合导线法对GPS网中已知点的可靠性进行检核时,本文对如何合理地、客观地确定限差,以达到有效检核的目的进行了探讨,提出了检核限差标准。并结合实例进行计算和分析,成功地剔除了含有粗差的已知点。     

城市大比例尺航测成图质量评定

主要从大比例尺航测成图质量评定角度出发,提出了既要满足相应规范和用户要求,又要最大限度的发挥航测成图的优势,对产品质量做出公正、客观、正确的质量评价方法。     

GPS控制网环检验程序的设计

在GPS控制测量中,环检验是个不可或缺的步骤,其目的在于及时发现粗差,控制整网的精度。本文通过设计一个环检验程序,从算法角度讨论了手工检验和自动检验的具体实现,并详细介绍了针对复杂网形控制网构环算法的优化,保证了程序的可靠性和稳健性。     

数值模式预报时效对计算精度和时间步长的依赖关系

通过数值计算研究Lorenz非线性动力系统,探讨了非线性动力系统中初值问题的解对时间步长和计算精度的依赖关系,从新的角度研究动力系统的预报时效问题,讨论了评价舍入误差对预报时效影响程度的方法。实验结果表明:动力系统的预报时效不仅与初值误差有关,而且在一定条件下敏感地依赖于计算采用的时间步长和计算精度。     

论

针对     

面向多分辨率DEM的河网相似性测度与分析

河网是地形结构的核心要素,能够有效地反映DEM对地表形态的刻画能力.实现不同分辨率条件下DEM河网相似性测度对DEM地形综合、DEM质量评估及DEM不确定性分析等研究具有重要意义.基于此,本文以黄土高原典型样区为研究区,基于5 m高精度DEM建立的多分辨率DEM数据集,构建了地形特征自适应的DEM河网自动提取方法,建立...     

两类双结构矩阵的标准型及其应用

给出2类双结构矩阵的标准型。作为应用,还利用新得出的标准型对这2类双结构矩阵特征值问题发展了结构算法,其中对第一类双结构矩阵特征值问题发展了只用实运算的结构算法。     

基于假反扰动的江淮梅雨锋低涡初始误差分析

以一个江淮梅雨锋低涡的48h模拟结果为基态计算了奇异矢量,并利用奇异矢量构造了假反扰动。分析表明,假反扰动能在一定程度上描述初始误差,可以借助其进行初始误差分析;在假反扰动中,发展缓慢的奇异矢量分量是主体,描述了绝大部分模拟误差且增长迅速的奇异矢量所占比例却很小;分析假反扰动的具体形势发现850hPa上初始误差主要是低涡西南方向的低压槽偏弱,而在500hPa,渤海湾低压槽向西南方向的伸展不够,低压槽东边的高压脊应进一步向北伸展,这些初始误差都分布在关键系统的周围,并且具有中尺度的特征。另外,假反扰动中不同物理量场改进预报质量的贡献各不相同,各种物理量场间存在着使其空间分布趋于一致的动力相关关系。