GPS大坝数据处理模型研究毕业论文外文文献翻译原文

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　　翻译日期： 2017.02.14

　　Abstract: Considering the particularity of the GPS dam deformation monitoring network, a data processing model based on the station orthogonal coordinate system for three-dimension GPS dam deformation monitoring network, was put forward. Also, a mathematical model of using the clustering analysis method in fuzzy mathematics to test the relative stability of quasi-stable points(or datum marks) was successfully brought forward. The adjustment method during the course of data processing was quasi-stable adjustment. At last, a software system of three-dimension GPS dam deformation monitoring network was designed and opened up with the help of Visual Basic Language. With three periods’ observation data from the GPS deformation monitoring network of a dam, an adjustment calculation was done by the software.The calculation result shows that the mathematical models can be more suitable for the data processing in GPS dam deformation monitoring network.

　　Key words: GPS, Dam deformation monitoring, Quasi-stable adjustment, Clustering analysis

　　1.Introduction

　　WGS-84 coordinate system is generally used in GPS. But local or

　　independent coordinate systems are usually chosen in dam deformation

　　monitoring networks for their small areas. During the course of past data processing, the adjustment under WGS-84 coordinate system for independent networks or networks with several fixed points is often firstly made. Then, the transformation from WGS-84 coordinate system to local(or independent) coordinate systems is done. For GPS

　　deformation monitoring networks with repetitive observation data, the obvious change of datum marks coordinates under the two different coordinate systems can be brought by the tiny deformation of datum marks among different periods of observation. And the greater error can be made during the coordinate transformation. If a local Gauss coordinate system is chosen, the projection distortions can also be produced by the transformation itself. For the reasons above, the station orthogonal coordinate system is chosen as the reference coordinate system for data processing of GPS dam deformation networks. And the mathematical model is put forward and deduced.

　　2.Data processing model based on the station orthogonal coordinate system for three-dimension GPS deformation monitoring networks

　　2.1 Coordinate system

　　The station orthogonal coordinate system is a left-hand coordinate system. Its origin is set at one of the GPS monitoring points. The E(X) axis points at the meridian passing the origin. It is on the tangent plane of the origin. And the right north is taken as forward direction. The H(Z) axis is on the

　　normal line of WGS-84 ellipsoid at the point and takes outward as forward direction . The E(Y) axis is also on the tangent plane of the origin and uses east for forward direction.

　　If the position vector of the station orthogonal coordinate system origin P0 in WGS-84 is expressed asr0= ??X0Y0Z0?, according to the T

　　geodetic latitude and longitude （B0，L0）, the position vector r i?in the station orthogonal coordinate system origin of a random point P ican be got through the translation and rotation of its WGS-84 position vector

　　?

　　ir i?r=H（r-r0） i??（1）

　　In the above equation, H can be written as

　　?-sinB0cosL0-sinB0sinL0cosB0???cosL00? H=?sinB0?cosBcosLcosB0sinL0sinB0?00??（2）

　　If the baseline vectors of the two random points

　　PandP in WGS-84 coordinate system and the the station orthogonal ij

　　coordinate system are written as

　　respectively, the expression can be easily gained as follows

　　Then, the relation equation between the two baseline vectors is expressed as

　　There are two steps in the GPS observation data processing course. They are baseline calculation and network adjustment. The baseline vectors in

　　Deformation monitoring networks usually require higher precision. And if several fixed points are adopted for datum, the observation precision can be greatly reduced, because the known data’s precision is often lower than the required precision and the beginning points’ displacement can make annexe effect to observation data especially during the course of repetitive observation. So the classical adjustment method, which has some given points, is generally not used. But it is important to choose the reference points with stable physical status as datum of deformation monitoring networks. Considering the above two cases, the quasi-stable adjustment can be employed to make the more stable unknown data( the coordinates of relatively stable points away from the dam) match their stable values. Then, there are no distortion of surveying result and

　　relatively stable datum. And the goal to monitor the deformation can be reached well. The adjustment model of GPS rank-deficient networks can be written as

　　With the least square method, the normal equation is expressed as

　　NX=W （5） where N equalsAT PA and W equals APL T

　　And the equation can be got as follows

　　R(N)=R(A)=r

　　where A denotes the rank-deficient matrix，whose rank-deficient number d is (n-r).If S is a set of radical of zero space N(A) and R(S) denotes d, the equation is written as

　　AS=0 （6） When the inner product space is defined as (X,Y)=XTRY and R(R) ≥ d, under the constraint condition

　　can be got XTRX=min, the following equation

　　STRX=0 (7) With (5) and (7), the solution equation of weighting rank-deficient

　　networks can be expressed as

　　Where QRdenotes

　　. When R is a diagonal matrix and its value is 1 or 0, （8）can

　　become the model of quasi-stable adjustment. The S matrix can be given according to the condition AS=0. And the S matrix of GPS 3-dimensional