Düşey kontrol ağlarında deformasyon analizi
Deformation analysis in vertical control networks
- Tez No: 39322
- Danışmanlar: PROF.DR. TEVFİK AYAN
- Tez Türü: Yüksek Lisans
- Konular: Jeodezi ve Fotogrametri, Geodesy and Photogrammetry
- Anahtar Kelimeler: Deformasyon analizi, Kontrol ağları, Deformation analysis, Control networks
- Yıl: 1993
- Dil: Türkçe
- Üniversite: İstanbul Teknik Üniversitesi
- Enstitü: Fen Bilimleri Enstitüsü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: Belirtilmemiş.
Özet
if the following result is obtained T = qAM > p s 2 l-a;m, f o then it is concluded that the null hypothesis (no deforma tion between two epochs) is rejected. When a null hypothesis is rejected, the point which has the maximum height differences between two epochs is considered as responsible for the rejection of the null hypothesis and tested. The process is carried out until the null hypothesis is accepted. In addition to the static model, a kinematic model is also discussed and basic principles and testing procedure, applied in the model, are presented. In the application part of the study, the above mentioned two-epoch analysis in the static model has been carried out for the detection of vertical movements in a control network consisting of twenty points. After the analysis, displacements up to 3.8cm. have been detected. Xlll
Özet (Çeviri)
In the application of deformation analysis, after the first repetition of the observations, when two sets of observational data are available, a two-epoch analysis is carried out. The models used in this case are classified into three groups: Static, dynamic or kinematic models. The static models provide an obvious point of view and give the results in forms of displacement vectors. The dynamic model links the displacements to their underlying forces. The kinematic models do not include forces, they describe the deformations by means of displacement velocities and accelerations. In a static model two-epoch analysis of a levelling network is applied by defining the following null hypo thesis, Ho: *-l = *-2 H x with the followings, T H= (I -I) - = (-l -2J Provided that the two single epoch adjustments have been performed using the same a priori variance factor cr 2 and have been based on the some geodetic datum the variance is obtained as, j YiT li Yi + v2 p2 v2 s ^ = ° by using the cofactor matrices T V P V 2« ' 2*i S*2 The quadratic form q. is calculated as follows.-xx -x2 <3A = (5l-İ£2)T (2«,+ Q$J + (İ£l-İ£2) The test statistic is given as, T = A/ m so2 with, m=r (CU + Q- ) -*1 -x2 Xllif the following result is obtained T = qAM > p s 2 l-a;m, f o then it is concluded that the null hypothesis (no deforma tion between two epochs) is rejected. When a null hypothesis is rejected, the point which has the maximum height differences between two epochs is considered as responsible for the rejection of the null hypothesis and tested. The process is carried out until the null hypothesis is accepted. In addition to the static model, a kinematic model is also discussed and basic principles and testing procedure, applied in the model, are presented. In the application part of the study, the above mentioned two-epoch analysis in the static model has been carried out for the detection of vertical movements in a control network consisting of twenty points. After the analysis, displacements up to 3.8cm. have been detected. XlllIn the application of deformation analysis, after the first repetition of the observations, when two sets of observational data are available, a two-epoch analysis is carried out. The models used in this case are classified into three groups: Static, dynamic or kinematic models. The static models provide an obvious point of view and give the results in forms of displacement vectors. The dynamic model links the displacements to their underlying forces. The kinematic models do not include forces, they describe the deformations by means of displacement velocities and accelerations. In a static model two-epoch analysis of a levelling network is applied by defining the following null hypo thesis, Ho: *-l = *-2 H x with the followings, T H= (I -I) - = (-l -2J Provided that the two single epoch adjustments have been performed using the same a priori variance factor cr 2 and have been based on the some geodetic datum the variance is obtained as, j YiT li Yi + v2 p2 v2 s ^ = ° by using the cofactor matrices T V P V 2« ' 2*i S*2 The quadratic form q. is calculated as follows.-xx -x2 <3A = (5l-İ£2)T (2«,+ Q$J + (İ£l-İ£2) The test statistic is given as, T = A/ m so2 with, m=r (CU + Q- ) -*1 -x2 Xllif the following result is obtained T = qAM > p s 2 l-a;m, f o then it is concluded that the null hypothesis (no deforma tion between two epochs) is rejected. When a null hypothesis is rejected, the point which has the maximum height differences between two epochs is considered as responsible for the rejection of the null hypothesis and tested. The process is carried out until the null hypothesis is accepted. In addition to the static model, a kinematic model is also discussed and basic principles and testing procedure, applied in the model, are presented. In the application part of the study, the above mentioned two-epoch analysis in the static model has been carried out for the detection of vertical movements in a control network consisting of twenty points. After the analysis, displacements up to 3.8cm. have been detected. XlllIn the application of deformation analysis, after the first repetition of the observations, when two sets of observational data are available, a two-epoch analysis is carried out. The models used in this case are classified into three groups: Static, dynamic or kinematic models. The static models provide an obvious point of view and give the results in forms of displacement vectors. The dynamic model links the displacements to their underlying forces. The kinematic models do not include forces, they describe the deformations by means of displacement velocities and accelerations. In a static model two-epoch analysis of a levelling network is applied by defining the following null hypo thesis, Ho: *-l = *-2 H x with the followings, T H= (I -I) - = (-l -2J Provided that the two single epoch adjustments have been performed using the same a priori variance factor cr 2 and have been based on the some geodetic datum the variance is obtained as, j YiT li Yi + v2 p2 v2 s ^ = ° by using the cofactor matrices T V P V 2« ' 2*i S*2 The quadratic form q. is calculated as follows.-xx -x2 <3A = (5l-İ£2)T (2«,+ Q$J + (İ£l-İ£2) The test statistic is given as, T = A/ m so2 with, m=r (CU + Q- ) -*1 -x2 Xllif the following result is obtained T = qAM > p s 2 l-a;m, f o then it is concluded that the null hypothesis (no deforma tion between two epochs) is rejected. When a null hypothesis is rejected, the point which has the maximum height differences between two epochs is considered as responsible for the rejection of the null hypothesis and tested. The process is carried out until the null hypothesis is accepted. In addition to the static model, a kinematic model is also discussed and basic principles and testing procedure, applied in the model, are presented. In the application part of the study, the above mentioned two-epoch analysis in the static model has been carried out for the detection of vertical movements in a control network consisting of twenty points. After the analysis, displacements up to 3.8cm. have been detected. XlllIn the application of deformation analysis, after the first repetition of the observations, when two sets of observational data are available, a two-epoch analysis is carried out. The models used in this case are classified into three groups: Static, dynamic or kinematic models. The static models provide an obvious point of view and give the results in forms of displacement vectors. The dynamic model links the displacements to their underlying forces. The kinematic models do not include forces, they describe the deformations by means of displacement velocities and accelerations. In a static model two-epoch analysis of a levelling network is applied by defining the following null hypo thesis, Ho: *-l = *-2 H x with the followings, T H= (I -I) - = (-l -2J Provided that the two single epoch adjustments have been performed using the same a priori variance factor cr 2 and have been based on the some geodetic datum the variance is obtained as, j YiT li Yi + v2 p2 v2 s ^ = ° by using the cofactor matrices T V P V 2« ' 2*i S*2 The quadratic form q. is calculated as follows.-xx -x2 <3A = (5l-İ£2)T (2«,+ Q$J + (İ£l-İ£2) The test statistic is given as, T = A/ m so2 with, m=r (CU + Q- ) -*1 -x2 Xllif the following result is obtained T = qAM > p s 2 l-a;m, f o then it is concluded that the null hypothesis (no deforma tion between two epochs) is rejected. When a null hypothesis is rejected, the point which has the maximum height differences between two epochs is considered as responsible for the rejection of the null hypothesis and tested. The process is carried out until the null hypothesis is accepted. In addition to the static model, a kinematic model is also discussed and basic principles and testing procedure, applied in the model, are presented. In the application part of the study, the above mentioned two-epoch analysis in the static model has been carried out for the detection of vertical movements in a control network consisting of twenty points. After the analysis, displacements up to 3.8cm. have been detected. Xlll
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