Bragg reflection of water waves by multiple floating horizontal flexible membranes with submerged rectangular bars on the seabed

Bragg reflection of water waves by multiple floating horizontal flexible membranes is investigated based on the linear wave theory and the assumption of small membrane response. Under the floating horizontal membranes, periodical submerged rectangular bars are arranged on the flat seabed. The total reflection and transmission coefficients are obtained by using the eigenfunction expansion method and the wide spacing approximation. The calculated coefficients are validated with the results available in the literature, which shows that the present method is applicable. The characteristics of Bragg reflection are systematically investigated by changing various parameters including the height of the rectangular bars, the number, the tension, the spacing, and the length of the flexible membranes. The results can help designing multiple floating horizontal flexible membranes as effective floating breakwaters by taking advantage of Bragg reflection.     

由空间直角坐标计算大地坐标的简便公式

对大地测量教科书中给出的空间三维直角坐标与大地坐标的转换公式进行了大量的计算与分析，总结得出一组由空间直角坐标计算大地坐标的简便公式。     

重磁遗传算法三维反演中动态数组优化方法

将地下场源划分成很多规划小单元，并且反演这些单元的物性变化是重磁反演，特别是三维反演的重要方向。在应用遗传算法进行该类反演过程中，隐含着数据量大时高维动态数据内存管理问题。为此，作者在本文中提出了简单、有效的动态内存优化方法。     

Derivatives of the Gravity Potential with Respect to Rectangular Coordinates

Starting from a complex operator of derivation, we give expressions for derivatives of arbitrary order of the gravity potential with respect to rectangular coordinates. These expressions have a form similar to the original potential expanded in spherical harmonics and are free of singularity at the poles. Computing sets of numerical coefficients once for all, we can compute the derivatives with a very limited work: the same functions are used to compute all derivatives by means of a unique parametrized formula. This is very comfortable for further algebraic manipulations. Numerical tests prove the accuracy and the efficiency of the algorithm derived from our formula to compute the gravity acceleration vector and the gravity gradient tensor.     

频率可切换的矩形缝隙环频率选择表面

基于金属屏上周期排列的缝隙单元结构的通带特性,提出矩形缝隙环(Rectangular Slot Ring,RSR)加载短路线的单元结构实现频率可调频率选择表面(Frequency Selective Surface,FSS).谐振缝隙单元开路与短路时相对应的谐振频率分别为13 GHz和15 GHz.RSR-FSS选用Rogers RO4003介质作为基板,按照12×12的方阵进行周期排列,利用全波电磁仿真软件CST对其进行了电磁传输特性仿真.最终,通过实验验证了该频率选择表面在Ku波段通过连通和断开短路线可以进行频率的切换.     

带丁坝型半封闭矩形海湾中M_2分潮潮波和潮流特性分析

将黄渤海海域概化为矩形海湾,山东半岛概化为垂直于海岸的巨型丁坝,形成一个带丁坝型半封闭矩形海湾。利用DELFT3D-FLOW计算模块在上述海湾中进行了M2分潮数值模拟,对其无潮点和辐射状潮流场的特性进行了分析。研究发现:考虑科氏力影响和巨型丁坝反射作用,坝前形成了明显的无潮点,但在等水深条件下并未形成辐射状潮流场,而叠加上倾斜海底地形后其得以形成;无潮点和辐射状潮流场顶端位置受水深影响明显,随着平均水深的增大,无潮点将向湾口和湾中轴线方向偏移,而辐射状潮流场顶端则向湾口方向偏移。研究结果有助于加深对带丁坝型半封闭矩形海湾中驻潮波系统形成机制和动力特性的理解和认识。     

空间直角坐标至两类常用坐标的快速变换

由空间直角坐标至站心极坐标的间接变换方法存在着使用复杂和不够直接快速的问题,该文提出了空间直角坐标至大地坐标快速变换的二维迭代方法;通过分析空间直角坐标与站心极坐标的几何关系,提出了站心极坐标直接变换的几何解析法。计算结果表明,当迭代停止条件采用空间点位误差限值10-5 m时,大地坐标变换的二维迭代法一般2次收敛;站心极坐标几何解析法与常规间接变换结果完全相同,验证了文中所提方法的正确性和快速性。     

一种地物直角平差纠正的新方法

由于测量存在观测误差,故根据测得的矩形地物特征点坐标数据,绘制的地物图形都不能严格是矩形,即地物直角条件不能严格成立。虽然目前的数字测图软件(如南方CASS 7.0)已提供了直角纠正功能,但它是一种简单机械的直角化方法,而不是进行平差纠正。为此,研究了一种以实际测量的地物特征点坐标为观测值进行地物直角平差纠正的算法,并以C#语言实现了该系统。实验证明,该系统能够更方便、更合理地实现对地物的直角纠正处理。     

Settlement analysis of rectangular piles in nonhomogeneous soil using a Winkler model approach

An analytical approach using a Winkler model is investigated to provide analytical solutions of settlement of a rectangular pile subjected to vertical loads in nonhomogeneous soils. For a vertically loaded pile with a rectangular cross section, the settlement influence factor of a normal pile in nonhomogeneous soils is derived from Mindlin's solution for elastic continuum analysis. For short piles with rectangular and circular cross sections, the modified forms of settlement influence factors of normal piles are produced taking into account the load transfer parameter proposed by Randolph for short circular piles. The modulus of subgrade reaction along a rectangular pile in nonhomogeneous soils is expressed by using the settlement influence factor related to Mindlin's solution to combine the elastic continuum approach with the subgrade‐reaction approach. The relationship between settlement and vertical load for a rectangular pile in nonhomogeneous soils is available in the form of the recurrence equation. The formulation of settlement of soils surrounding a rectangular pile subjected to vertical loads in nonhomogeneous soils is proposed by taking into account Mindlin's solution and both the equivalent thickness and the equivalent elastic modulus for layers in the equivalent elastic method. The difference of settlement between square and circular piles is insignificant, and the settlement of a rectangular pile decreases as the aspect ratio of the rectangular pile cross section increases. The comparison of results calculated by the present method for a rectangular pile in nonhomogeneous soils has shown good agreement with those obtained from the analytical methods and the finite element method. Copyright © 2014 John Wiley & Sons, Ltd.