Geodetic kinematic models

The paper presents selected issues on geodetic kinematic models. In previous applications various linear esti-mation procedures are used, they are use to solve a system of equations involving observation issue. The kine-matic model can be formulated itself in various options. The model conception adopted in this work assumes that it does not matter how to perform follow-up, in terms of time or measurement periods. The input data may also be functions of observations, for example, coordinates of the points with the corresponding covariance matrix. Kinematic model if it is to involve civil engineering, should be supplemented by adequate restrictions imposed on the model parameters, ensuring continuity of displacements and deformations. A generalized kinematic model can be used to obtain the parameters of functions describing the movement of individual points or the entire facility, which provide information on the point or vector displacement field. ...

Methodology of determining changes of a geometric state of a suspended roof in load conditions

The paper presents the methodology to determine changes in the geometric structure containing the conducted measurements and feasible variants of calculations. The object of detailed studies, whose results are presented in this work, is the suspended roof of the open-air theatre in Koszalin. In the research conducted since 2006, a database that contains the results of more than 40 periodic measurements of the structure carried out in different (registered during measurements) external conditions (including different temperature, snow and ice load) was used. The previous research conducted at this facility, among others, (Deska 2013, Kaczmarek and Ĺšpiewak 2014b), as well as for other structures (Odziemczyk 2014) draws attention to the important influence of the temperature load of steel structures and hence the need for its consideration when assessing the geometric state. Electronic total station and the polar method with freestationing were used in periodic measurements. The calculations used a comparative method (differences of coordinates) and tools of a statistical analysis as well as developed calculation models based on them. The results obtained using both approaches were compared and assessed by indicating both their possibilities and significant limitations. The application of the suggested methodology provides the correct determination of changes in the ...