On the expansions of intermediate orbit for general planetary theory     

Sergei A. Klioner 《Celestial Mechanics and Dynamical Astronomy》1996,66(4):345-363

Intermediate orbit for general planetary theory is constructed in the form of multivariate Fourier series with numerical coefficients. The structure and efficiency of the derived series are illustrated by giving various statistical properties of the coefficients.The ability of the recently proposed elliptic function approach to compress the Fourier series representing the intermediate orbit is investigated. Our results confirm that when mutual perturbations of a pair of planets are considered the elliptic function approach is quite efficient and allows one to compress the series substantially. However, when perturbations of three or more planets are under study the elliptic function approach does not give any advantages.  相似文献   

A note on estimation of the Jacobian elliptic parameter in cnoidal wave theory     

Y. -S. Cho   《Ocean Engineering》2003,30(15):1915-1922

A new and simple calculating technique for the Jacobian elliptic parameter is presented in this study. The technique is very useful in generating a train of cnoidal waves in both laboratory and numerical wave tanks. Upon specification of water depth, the wave height and either the wave period or the wavelength, the proposed technique uses the Newton–Raphson method to estimate the Jacobian elliptic parameter directly, without trial and error procedures or look-up in tables. It is shown that the technique provides equally accurate results as the ad hoc methods previously used.  相似文献   

东海三定点周日海流观测的准调和分析   总被引：1，自引：0，他引：1  

王凯  叶冬 《海洋科学》2007,31(8):18-25

应用短期资料的潮流准调和分析方法，对东海三定点测站获得的表、中、底3层的25h连续海流资料进行了分析，计算了3测站O1，K1，M2，S2，M4，MS4 6个主要分潮的北、东分量潮流调和常数，并给出了各测站在各层的潮流椭圆要素。计算结果表明：该海区潮流属于正规半日潮流性质，半日分潮流的北分量大于东分量，呈现旋转流的性质，按顺时针向旋转。分析结果也反映出表层、中层的浅水分潮在观测海流中所占的份额高于底层的浅水分潮。结果有助于了解该海区的潮流性质并为潮流数值模拟提供校验实测数据。通过与同期获得的悬浮物浓度剖面数据的比对，将有助于研究潮流与该地区悬浮泥沙浓度分布之间的关系。  相似文献   

Inversely-Mapped Analytical Solutions for Flow Patterns around and within Inclined Elliptic Inclusions in Fluid-Saturated Rocks   总被引：1，自引：0，他引：1  

Chongbin Zhao  Bruce E. Hobbs  Alison Ord  Shenglin Peng  Liangming Liu 《Mathematical Geosciences》2008,40(2):179-197

In this paper, an inverse mapping is used to transform the previously-derived analytical solutions from a local elliptical coordinate system into a conventional Cartesian coordinate system. This enables a complete set of exact analytical solutions to be derived rigorously for the pore-fluid velocity, stream function, and excess pore-fluid pressure around and within buried inclined elliptic inclusions in pore-fluid-saturated porous rocks. To maximize the application range of the derived analytical solutions, the focal distance of an ellipse is used to represent the size of the ellipse, while the length ratio of the long axis to the short one is used to represent the geometrical shape of the ellipse. Since the present analytical solutions are expressed in a conventional Cartesian coordinate system, it is convenient to investigate, both qualitatively and quantitatively, the distribution patterns of the pore-fluid flow and excess pressure around and within many different families of buried inclined elliptic inclusions. The major advantage in using the present analytical solution is that they can be conveniently computed in a global Cartesian coordinate system, which is widely used in many scientific and engineering computations. As an application example, the present analytical solutions have been used to investigate how the dip angle of an inclined elliptic inclusion affects the distribution patterns of the pore-fluid flow and excess pore-fluid pressure when the permeability ratio of the elliptic inclusion is of finite but nonzero values.  相似文献   

IMPLICIT NONLINEAR NORMAL MODE INITIALIZATION:A MULTIGRID APPROACH          下载免费PDF全文

D.R.C.Nair  B.Chakravarty  P.Niyogi 《Acta Meteorologica Sinica》1993,(1)

The implicit nonlinear normal mode initialization (INMI) is applied to a tropical limited area shallow water modelin spherical coordinates.The boundary condition for the INMI scheme is based on the boundary formulation of themodel.The INMI scheme is found to be very efficient in suppressing spurious gravity wave oscillation and providing awell balanced initial data set for the model.The INMI scheme involves solving a number of elliptic type equations withvarying complexity.and hence an efficient numerical technique is required for solving such equations.In order to makeINMI computationally more attractive,we are employing the multigrid method for solving all the elliptic type equationsin the INMI scheme.The numerical procedures for the development of such multigrid solvers are briefly described.  相似文献   

Dynamic stress concentration and scattering of SH-wave by interface elliptic cylindrical cavity     

陈志刚  刘殿魁  杨在林 《地震工程与工程振动(英文版)》2003,2(2):299-306

In this paper, the dynamic stress concentration and scattering of SH-waves by bi-naterial structures that possess an interface elliptic cavity are investigated. First, by using the complex function method, the Green‘s function is constructed. This yields the solution of the displacement field for an elastic half space with a semi-elliptic canyon impacted by an anti-plane harmonic line source loading on the horizontal surface. Then, the problem is divided into an upper and lower half space along the horizontal interface, regarded as a harmony model. In order to satisfythe integral continuity condition,the unknown anti-plane forces are applied to the interface. The integral equations with unknown forces can be established through the continuity condition, and after transformation, the algebraic equations are solved numerically. Finally, the distribution of the dynamic stress concentration factor (DSCF) around the elliptic cavity is given and the effect of different parameters on DSCF is discussed.  相似文献   

Thermal bending of thin, anisotropic, clamped elliptic plates     

P.A.A Laura  C.A Rossit 《Ocean Engineering》1998,26(5):485-488

The present note deals with the exact analytical solution of thermal bending of clamped, anisotropic, elliptic plates in the case where the thermal field is given by an expression of the type T(x,y,z)=z(Ax²+Cxy+By²).The problem is of basic interest in some ocean and mechanical structural systems since anisotropic materials are commonly used in those fields. Obviously the case of an orthotropic material constitutes a particular situation of the problem under study.  相似文献   

中国近海棱梭群体形态学和耳石形态学研究          下载免费PDF全文

阳敏  刘璐  吴桢  吴天昊  谭颖琪  龙丹丹  高天翔  宋娜 《应用海洋学学报》2019,38(3):329-337

为研究棱梭不同地理群体间的形态差异,使用多元统计分析方法对采集自金门、厦门、虎门、湛江、北海和防城港6个地点邻近海域的棱梭群体样本的形态和矢耳石形态两方面进行比较研究。对棱梭样本的形态研究结合传统形态学和地标形态学开展,对矢耳石的形态研究则将传统耳石形态分析法和椭圆傅里叶分析法相结合,形态和耳石形态数据的分析结果相似。主成分分析结果表明从28个棱梭形态量度指标提取的前8个主成分累积贡献率为65. 868%,从85个耳石形态指标提取的前23个主成分的累积贡献率为79. 290%,根据临界值85. 000%可以推断这6个棱梭群体间形态和耳石形态上的差异不能够单独依靠少数指标来判断;聚类分析的结果总体显示出群体间差异与地理距离等因素相关联的分布规律;在判别分析中形态学量度指标的综合判别正确率为75. 9%,而耳石形态学指标的综合判别正确率略低,为69. 3%;对棱梭形态量度指标的单因子方差分析显示湛江棱梭群体与其他群体在形态上存在显著差异的量度指标较少。栖息地环境、饵料组成和海流等可能是导致形态学差异和耳石形态差异形成的主要因素。另一方面,理化因子的相似性和群体间的交流会减弱群体间形态和耳石形态的差异。  相似文献   

一种模拟韧性剪切带中椭球状标志体运动、变形的新方法     

刘稳航  李玮  董云鹏  屈梦梦  杨源祯 《地质通报》2015,34(10):1897-1909

韧性剪切带中赋存的椭球状应变标志体(砾石、碎斑等)是研究剪切带运动学、动力学的重要应变标志体。传统研究中椭球状标志体通过对野外露头的观测或与实验岩石学结合,判断剪切带运动方向、探讨运动学和流变学特征。随着数值模拟技术在韧性剪切带中的引入和推广,国内外许多学者试图恢复椭球状标志体的运动轨迹和变形特征,并取得了显著的成果。然而,国内文献对于模拟韧性剪切带椭球状标志体的定量及模拟研究甚少,研究方法也鲜为介绍。基于此,针对韧性剪切带中椭球状标志体变形的最新研究进展,详细介绍建立在Jeffery理论和Eshelby理论之上的数值模拟思路和方法,并利用Mathcad软件模拟了给定条件下的椭球状标志体的运动轨迹、变形特征。  相似文献   

Planetary theories with the aid of the expansions of elliptic functions     

Jean Chapront  Jean-Louis Simon 《Celestial Mechanics and Dynamical Astronomy》1995,63(2):171-188

For coplanar circular orbits, the mutual perturbations between two bodies can be expressed in term of the argument of Jacobian elliptic functions instead of the difference of the mean longitudes. For a given pair of planets, such a change of time variable improves the convergence of the developments. At the first order of planetary masses an integration of Lagrange's equations for the osculating elements is performed. When compared to classical developments the results are reduced by an important factor. The method is then extended to the mutual perturbations of Jupiter and Saturn, at any order of planetary masses, either with Fourier series with two arguments, or with one argument solely, taking advantage of the close commensurability of the mean motions.  相似文献