A new method for predicting nonlinear structural vibrations induced by ground impact loading

Based on nonlinear theory and field measurements, a hybrid method for modeling the time history of structural vibrations resulting from impact loading in the vicinity of a structure is presented in this paper. The characteristics of the medium present between the impact source and a measured location inside of a structure are depicted by a nonlinear system that can be modeled by a Volterra functional series. The nonlinear system can be identified by the inputs and the corresponding output signals, which can be obtained by performing in situ experiments. Then, the predicted signal induced by a known impact loading at the measured location can be calculated using the identified Volterra functional series. Moreover, the structural vibration under a known impulse train can be controlled by adjusting the delay period according to the predicted results. In addition, the method has been verified by applying it in two practical applications: the cases of impact loading induced by either the impact of a hammer or blasting. The results show that the method features convenient application, high precision and extensive applicability for various types of impact loadings.