旋转椭球面上的应变与转动张量表达   总被引：5，自引：1，他引：5       下载免费PDF全文

刘序俨  黄声明  梁全强 《地震学报》2007,29(3):240-249

以旋转椭球体面上某点为原点建立一个大地坐标单位活动坐标架. 通过平移, 使活动坐标架的原点与以椭球中心为原点的笛卡尔单位标架的原点相重合. 然后再通过两次标架旋转, 使活动坐标架与笛卡尔单位标架完全重合. 本文给出了使两个单位标架相重合的转换关系式, 以及该点位移在两个单位标架中的坐标转换式； 在此基础上, 考虑该点的位移及活动坐标架皆为该点大地坐标的函数, 经复杂推导, 分别给出了该点位移向量的微分在大地坐标系中的分量以及该点分别沿坐标曲线的弧微分表达式, 继而导出了该点的位移梯度矩阵; 最后推导出了椭球坐标系的应变张量与转动张量表达式, 并对转动张量的几何含义进行了较详细的解释, 且采用曲面理论对球面与椭球面的应变张量间的内在关系进行了讨论.   相似文献   

Axial poloidal electromagnetic core-mantle coupling torque: A re-examination for different conductivity and satellite supported geomagnetic field models     

H. Greiner-Mai  J. Hagedoorn  L. Ballani  I. Wardinski  D. Stromeyer  R. Hengst 《Studia Geophysica et Geodaetica》2007,51(4):491-513

We investigate the temporal behaviour of the axial component of the electromagnetic core-mantle coupling torque that is associated with the poloidal part of the geomagnetic field observable at the Earth surface. For its computation, we use different models of the geomagnetic field, expanded into spherical harmonics (Wardinski and Holme, 2006; Sabaka et al., 2004), and the mantle conductivity. The geomagnetic field, which we have to know at the core-mantle boundary for the associated computations, will be inferred from the field at the Earth surface by the non-harmonic field continuation through a conducting mantle shell. The aims of this investigation are (i) to check how sensitive is the computation of the torque with respect to the different geomagnetic field models, (ii) to check its dependence on the spherical harmonic degree n, and (iii) to determine the difference between the mechanical torque derived from the observed length-of-day variations (atmospheric influence subtracted) and the poloidal electromagnetic torque in dependence on the assumed conductivity. To use the non-harmonic field continuation for the torque calculation and to obtain an insight into the influence of the different geomagnetic field models on the EM torques are the major aspects of this paper. grm@gfz-potsdam.de  相似文献   

浅谈利用GPS布设大型桥梁施工控制网     

朱继武  罗永权 《测绘与空间地理信息》2007,30(6):86-88

结合本公司实施的一个大桥施工控制网测量项目,详细介绍了利用GPS进行大型桥梁施工控制网布设的方法,从方案比选、选点埋石、坐标系和投影面选择、测量过程中的质量控制措施、控制网的复测与维护等方面做了较为详细的介绍。  相似文献   

两种坐标转换模型的精度比较     

陈兆林  张书毕  闵珊 《四川测绘》2007,30(5):224-227

本文介绍了两种常用的坐标转换模型和最小二乘配置坐标转换方法,并以徐州市基础测绘北京54和西安80平面坐标的转换为例,比较了二维多项式变换模型和相似变换模型的精度。最后分析了两种模型的优劣。同时,提出了利用QR矩阵分解法来解决最小二乘法矩阵求逆导致的数值不稳定问题。  相似文献   

浅谈利用GPS布设大型桥梁施工控制网     

朱继武  罗永权 《东北测绘》2007,30(6):84-88

结合本公司实施的一个大桥施工控制网测量项目，详细介绍了利用GPS进行大型桥梁施工控制网布设的方法，从方案比选、选点埋石、坐标系和投影面选择、测量过程中的质量控制措施、控制网的复测与维护等方面做了较为详细的介绍。  相似文献   

边长勘丈法在村庄地籍测量中的应用   总被引：1，自引：0，他引：1  

姚民  孙玮玉  朱霁霆 《现代测绘》2007,30(3):27-28

探计了村庄地籍测量的三种方法,重点发析了边长勘丈法在溧水县村庄地籍测量的可行性,通过实践对比,分析了该方法对测量成果的精度影响.  相似文献   

Testing the nonsysmmetric gravitational theory with rotation curves of galaxies     

Xiang-yu Wang  Xue-jun Wu  Chong-ming Xu 《Chinese Astronomy and Astrophysics》1998,22(4):373-379

We use the rotation curves of 13 galaxies to test the nonsymmetric gravitaional theory (NGT). If we follow Moffat's assumption of a constant mass-to-light for all galaxies then we shall find that the two supposedly universal constants r₀, L₀ to show a large scatter. By regarding the mass-to-light ratio as a free parameter for each galaxy, and adjusting the values of r₀, L₀, we find that NGT can well account for the observed rotation curves. Further, the mass-to-light ratios so found show the well-known trend along the Hubble morphological sequence.  相似文献   

Diurnal atmospheric forcing and temporal variations of the nutation amplitudes     

C. Bizouard  A. Brzeziński  S. Petrov 《Journal of Geodesy》1998,72(10):561-577

A 29-year time-series of four-times-daily atmospheric effective angular momentum (EAM) estimates is used to study the atmospheric influence on nutation. The most important atmospheric contributions are found for the prograde annual (77 μas), retrograde annual (53 as), prograde semiannual (45 as), and for the constant offset of the pole (δψsinɛ₀=−86 as, δɛ=77 as). Among them only the prograde semiannual component is driven mostly by the wind term of the EAM function, while in all other cases the pressure term is dominant. These are nonnegligible quantities which should be taken into account in the new theory of nutation. Comparison with the VLBI corrections to the IAU 1980 nutation model taking into account the ocean tide contribution yields good agreement for the prograde annual and semiannual nutations. We also investigated time variability of the atmospheric contribution to the nutation amplitudes by performing the sliding-window least-squares analysis of both the atmospheric excitation and VLBI nutation data. Almost all detected variations of atmospheric origin can be attributed to the pressure term, the biggest being the in-phase annual prograde component (about 30 as) and the retrograde one (as much as 100200 as). These variations, if physical, limit the precision of classical modeling of nutation to the level of 0.1 mas. Comparison with the VLBI data shows significant correlation for the retrograde annual nutation after 1989, while for the prograde annual term there is a high correlation in shape but the size of the atmospherically driven variations is about three times less than deduced from the VLBI data. This discrepancy in size can be attributed either to inaccuracy of the theoretical transfer function or the frequency-dependent ocean response to the pressure variations. Our comparison also yields a considerably better agreement with the VLBI nutation data when using the EAM function without the IB correction for ocean response, which indicates that this correction is not adequate for nearly diurnal variations. Received: 10 September 1997 / Accepted: 5 March 1998  相似文献   

空间直角坐标和大地坐标的转换   总被引：5，自引：0，他引：5  

黄谟涛  翟国君  管铮  欧阳永忠 《测绘学院学报》1998,(3)

目前国内在空间直角坐标和大地坐标转换公式使用问题上 ,还明显缺乏必要的统一性。针对这个问题 ,本文作者在全面分析和比较国内外现有各种转换方法的基础上 ,重点推荐和介绍根据 Bowring研究思路导出的转换公式 ,这组公式既简单又具有很高的计算精度 ,能够满足各个部门的使用要求  相似文献   

利用FHT法反演海洋重力     

徐卫明  梁开龙 《测绘学院学报》1998,(4)

从快速 Hartley变换 (FHT)基本概念入手 ,给出了 Hotine核在平面近似、球面近似、Molodenskii近似下的反演模型。另对 FHT处理中所需的坐标转换以及边缘效应等问题加以讨论。同时 ,为了改善长波特性的重力场信息 ,利用 M阶次的参考重力场对上述 Molo-denskii模型进行了改化。  相似文献