Bridge solids kinematics in linear structures located on mining areas

The paper refers to the issues related to bridge structures located in areas with the ground deformations with particular emphasis on its kinematics. The causes of terrain deformation may be different geodynamic phenomena which include: effects of mining, tunneling, karst processes, floods and flooding and landslides. The most common forms of these deformations are continuous in the form of depression called subsidence trough. Their size is described by indices such as depression, horizontal displacement and deformation, surface inclination and curvature. Compact structures, such as houses and public buildings, are usually taken to be point models and then influences given by the above-mentioned deformation indices are clearly defined. The paper presents a new vector model of bridge solids motion. The three dimensional model can clearly define the safety of the structure in the range of the freedom of displacements caused by ground movements, regardless of the source of origin. It was able to apply, mostly used in robotics, convenient record of displacement and rotation composition in the form of the 4x4 homogeneous matrix.