###### Abstract
However, the pseudo-static effects that result from ground deformation may increase the dynamic response level of the whole structure or in some structural parts of an object [9; 19; 20]. Unfortunately, the above-mentioned research concerns natural seismicity and does not take into account the differences between the excitation caused by an earthquake and by a mining shock. Mining-induced tremors have a local, lower range in comparison to shocks caused by earthquakes. For such shocks, the spatial variation of kinematic excitations can meaningfully impact the dynamic response of long bridges. Therefore, there is a need to introduce models of spatially-varying kinematic excitation and dedicated mining-induced seismicity. Since mining regions differ in geological structure, which results in differences in parameters, such as energy, frequency contents, and the lengths of shocks, the proposed models should take into account the local characteristics and geological conditions of the regions. Two main objectives of the paper can be listed. The first goal is to propose an advanced model of Spatiotemporal Mining-Induced Kinematic Excitation (SMIKE), dedicated to multiple-support structures, especially long bridges, located in regions of mining-induced seismicity. The model can be implemented and tailored for different mining activity areas since it is based on empirical regional seismicity characteristics. The second objective is the assessment of the impact of the SMIKE model on the dynamic performance of a long structure under a mining-induced shock in comparison with the classical uniform excitation approach. Mining regions are generally heavily industrialized with highly developed road infrastructure. Long, multi-span bridges, an integral part of this infrastructure, are particularly prone to the consequences of nonuniformity of excitation. The application of the proposed model of kinematic excitation can be extended to other multispan structures such as, for example, pipelines [21], pantograph-catenary systems [22], and the power transmission line [23]. The decision of whether nonuniform or classic uniform kinematic excitation models should be used to obtain a conservative assessment of the dynamic behavior of long bridges under mining-induced tremors must be based on methodical investigations. The problem of the different slenderness of various bridge spans can impact this choice, yet this aspect, to the best of the authors' knowledge, has not been raised in the literature. Thus, the numerical investigations of this work are focused on the implementation of the SMIKE model in the analysis of the dynamic performance of such a bridge. The novelty of this research lies in proposing the spatiotemporal mining-induced kinematic excitation (SMIKE) model based on regional seismicity characteristics and therefore suitable for different mining regions, followed by the application of the model to comprehensive research on the dynamic performance of a bridge with spans of different slenderness exposed to a mining-induced shock. The analyzed bridge is located in Chrzanow, Southern Poland, in a mining activity region. The structure of the paper is as follows. Section 2 covers the description of the proposed excitation model, the description of structural design and numerical model of an analyzed bridge, and the theoretical background and experimental set-up for apparent wave velocity estimation. Section 3 shows the results of experimental and numerical evaluation of natural frequencies, and modes of vibration of the bridge, the determination of parameters of the SMIKE model and the resultant data of the spatially varying mining-induced kinematic excitation. Sections 4 and 5 contain the discussion on the results and the final conclusions, respectively.