Single epoch GNSS solving method with horizontal restraining
A technology with horizontal constraints and single epoch, applied in the directions of instruments, measuring devices, satellite radio beacon positioning systems, etc., it can solve the problems of long initialization time, etc., and achieve the effects of improving reliability, easy determination of ambiguity, and high positioning accuracy.
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Embodiment 1
[0051] Embodiment 1: the static coordinate (X of monitoring point 0 ,Y 0 ,Z 0 ) of the acquisition
[0052] When measuring the deformation of a super high-rise building under the action of strong wind, it is first necessary to determine the initial position of the super high-rise building in a static state. In order to determine its initial position, select a time point with good weather conditions to conduct static observations on super high-rise buildings for about two to three weeks, use GAMIT software to perform static calculations every hour, and then take the average of all calculation results Static coordinates (X 0 ,Y 0 ,Z 0 ).
Embodiment 2
[0053] Embodiment 2: Calculate its displacement y.
[0054] First, use GNSS-RTK technology to solve the coordinates of the monitoring points for 15-30 minutes, and use the wavelet filter method to decompose the GNSS coordinate (displacement) sequence in multiple scales. Take ten scale results for analysis), which can effectively separate structural vibration and various influencing items. Establish the simple harmonic motion equation of a super high-rise building under the action of strong wind:
Embodiment 3
[0055] Embodiment 3: establishment of constraint equation
[0056] (X-X 0 ) 2 +(Y-Y 0 ) 2 +(Z-Z 0 ) 2 =y 2
[0057] Let the approximate GNSS coordinates of the monitoring station be (X 0 ,Y 0 ,Z 0 ), put formula (11) in (X 0 ,Y 0 ,Z 0 ) to expand Taylor’s formula, we get:
[0058]
[0059] Therefore, the constraint equation can be obtained:
[0060]
[0061] Where: C=[2(X 0 -X 0 )2(Y 0 -Y 0 )2(Z 0 -Z 0 )]; W=y 2 -(X 0 -X 0 ) 2 -(Y 0 -Y 0 ) 2 -(Z 0 -Z 0 ) 2
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