A parametric closed-form model for simulation of intensive ground motionscaused by near-fault strong earthquake records

Strong ground motions which recorded near an active fault, have specific physical characteristics. Moreover, the time history of strong a near-fault record evidently contains a large distinct pulse as well as high amplitude spikes in the form acceleration, velocity and displacement wave-like features. The strong near-fault ground motions have potential to release a great deal of energy and create powerful impact motion along with large period pulses in the velocity time history. In order to have a comprehensive understanding and conceptualization on the nature of strong near-fault ground motions caused by high-energy earthquakes, it is possible to develop analytical closed-form pulses and artificial wavelike motions to develop the computational viewpoints related to seismic response of structures. In this study, the simulation and modeling of pulses displayed in the velocity time history of near-fault earthquake records are considered and evaluated analytically. The developed mathematical formulation has been completed based on the application of several compound trigonometric statements. It should be noted that the prepared mathematical formulation has the ability to fit the geometric shape and physical nature of velocity and acceleration pulses. The computational process of the proposed closed-shape formulation has been accomplished in such a way, not only to fit the distinct pulses in both of acceleration and velocity time histories, but also to be applicable in dynamic response analyses. In this regard, the range of kinetic energy flux variations obtained corresponding to both of the recorded ground motions and the fitted artificial motion model, have been calculated and compared.