Subsidence and earthquakes induced by mining activities often cause significant damage to nearby surface structures. These damages may pose risks to occupant’s safety and deteriorate structural performance under serviceability and ultimate limit states, potentially endangering lives. As many structures may lack design considerations to withstand the additional loads and displacements imposed by mining activities, accurate prediction of their structural performance is imperative. This paper aims to present a comprehensive review of analytical methods and standard guidelines for assessing the performance of buildings near mining areas, particularly in response to subsidence and mining-induced seismicity. The paper presents the essential framework required for accurately assessing the performance of this building group. Based on the results, a brief methodology is presented to aid engineers in assessing the performance of structures near mines.

A novel numerical method is proposed for computing the seismic response of linear and nonlinear systems. Single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems are covered. The method is called load impulse method (LIM) because it uses the load impulse concept in its formulation. LIM is first extended for analyzing linear damped systems whose damping ratios are almost greater than 1% and nonlinear systems in general. To formulate LIM, the governing differential equation of motion (DEOM) is modified to have appropriate form for numerical integration. Then, it is integrated over time step using trapezoidal integration rule. Rearranging the obtained equation, the required relations are generated for computing seismic response of dynamic systems through simple iteration. The seismic response of several linear and nonlinear structural systems under dynamic loads is determined through the proposed LIM. A detailed comparison is then carried out between the results of LIM and those obtained from Duhamel integral, Newmark-β, and Wilson-θ methods. The results clearly show that the proposed LIM can robustly estimate the displacement, velocity, and acceleration time-histories of the dynamic systems within satisfactory computational cost.