Numerical simulation of the frame structure dynamic behavior utilizing the nonlocal in time damping model

Abstract

This research is devoted to the numerical analysis of the dynamic response of composite frame structures considering its internal friction properties utilizing the nonlocal in time model of material damping. It is assumed that damping of the structure at the current time moment is dependent not only on an instant value of the strain rate at this moment, but also on the values of strain rates of the previous time history. The longer is the gap between two time points, the lower is the impact of one of them on the other. Such a model in the one-dimensional statement (1 D) could be smoothly integrated to the Finite Element Analysis algorithm and effectively used for the approximation of numerical simulation or physical experiment data. The equation of motion of the frame structure based on the FE model with the nonlocal in time material damping is solved using an implicit scheme. It is shown that such an approach allows one to create a flexible model which could be effectively applied in the case when 1 D models are more preferable than 3D ones, for instance, on the initial design stages or for optimization problem solving.