Verification of the three-parameter nonlocal-in-time damping model by experimental data

This research is devoted to the modelling of the composite beam vibrations considering specific internal damping features of the materials. The model of internal damping is based on the nonlocal hypothesis. It is assumed that the internal damping force in the beam depends not only on the instant value of the strain rate, but also with the waning influence on the whole strain rate time history. Such an approach makes the model more flexible in comparison to the classic local Kelvin-Voigt model. The model has three independent parameters which could be determined by the results of physical experiments. In this research, fiber-reinforced concrete beams were subjected to the dynamic tests under an impact load, and the accelerations time histories were recorded, which then were used for the calibration of the nonlocal model by the least squares method. The obtained model parameters could be further used for the computer simulation of the fiber-reinforced concrete beams dynamics.