Analysis of dynamic spherical cavity expansion in undrained modified Cam Clay soil

In order to capture the influence of the cavity expansion velocity, this paper presents a semianalytical solution for dynamic spherical cavity expansion in modified Cam Clay (MCC) soil. The key problem is solving the six coupled partial differential equations (PDEs) of cavity expansion, in which the dynamic term is considered in the stress equilibrium equation. The similarity transformation technique is used to transform the PDEs into ordinary differential equations (ODEs). Subsequently, the numerical method using the function “ODE45” in MATLAB is selected to solve the ODEs, which allows the stress and excess pore pressure around the expanding spherical cavity wall to be obtained. The proposed semianalytical solution for dynamic spherical cavity expansion was validated by comparting the degenerate solution with the published quasistatic solution for the MCC model. Parametric study was then conducted to capture the influence of the cavity wall velocity on the cavity expansion response. The proposed solution has potential application to geotechnical problems such as dynamic pile driving, the dynamic cone penetration test, and so forth.     

Orthogonality and mean squares of the vector fields given by spherical cap harmonic potentials

It is well known that the vector fields derived from spherical harmonics are orthogonal over the sphere. It is now shown that the vector fields derived from spherical cap harmonics are orthogonal over the cap, to the same extent as the cap potentials are, and expressions are given for their mean squares.     

地质统计学K-阶套合球状模型参数的自动模拟

本文以地质统计学参数估计的线性规划法为基础,推导出ｋ－阶套合球状模型参数的计算机自动化模拟算法,用ＭｉｃｒｏｓｏｆｔＶｉｓｕａｌＢａｓｉｃ开发出了相应的参数模拟计算机程序。使ｋ－阶套合球状模型的参数模拟实现了自动化     

地球密度模型研究进展与热平衡估计

地球科学最新研究成果表明,地表物质运动与核幔边界的大规模能量交换过程密切相关,地球动力系统平均温度的演变具有由高到低的整体趋势。越来越多的证据表明,地球内部处于非绝热状态,正在持续进行的地球冷却过程将对地表环境产生重大影响。人类对地球内部热源的开发尽管可以使地表短时期迅速增强,但也造成地球内部长期加速变冷的严重后果。     

乡村居民地半解析法地籍测图的研究与实践

作文详细阐述了笔者设计的乡村居民地半解析法地籍测图的工作过程、数据处理方法、绘图方法,为乡镇土地管理部门从事本行政区域的地籍测绘工作探讨了一条简便、实际、可行的途径。     

中国近海海面地形及形成机制研究

用几何水准法、水文法、重力—卫星测高法三种不同方法求得了中国近海海面地形,给出了中国近海海面地形数学模型和中国近海海面地形图,探讨了中国近海海面地形形成机制,包括海洋水文因素、大气压力影响,以及太平洋北赤道流的影响。     

关于三维直角坐标七参数转换模型求解的讨论

本文针对三维直角坐标转换中7参数量纲不同的问题,设计了"变更求解参数以使形式误差基本相当"的求解模式,有效改善了小参数情况下法方程的条件,并提高了大参数情况下参数解的稳定性。针对大旋转角情况,设计了简洁有效的迭代求解模式,便于模块化编程,并具有收敛快、参数初值动态范围广的特点。针对大平移,采取了预先部分扣除的方式,获得了稳定的参数解。算例验证了这些处理方式的有效性。     

基于网络坐标的地理信息系统

确定网络节点位置是互联网中一种重要的应用服务。目前主流的确定网络节点位置的系统都不易获取且不具有实时性,给出的节点位置不够准确。提出1种基于网络坐标的节点地理位置预测系统,利用少数地标节点的位置信息,并结合相应的网络坐标,对网络当中任意节点的地理位置进行实时地预测。通过在Internet网络当中开展实验,进一步验证了该系统的可行性和准确性。结果表明,在实验开展的范围内,系统能够准确的预测节点的地理位置。