Calibration of nonlocal damping model based on numerical simulation results

Abstract

The paper is devoted to polymer composite beams dynamic behavior simulation. The nonlocal damping model is used as a model of the internal friction. The vibration process is considered in this paper using the beam with fixed ends as an example. Equation of beam motion considering nonlocal damping is solved by Galerkin method to develop the model. The required number of eigenmodes is obtained for the beam under an instantly applied distributed load. The influence of nonlocal damping model parameters variation on the beam vibration process simulation results is considered under a periodic deterministic distributed load. The calibration of nonlocal damping model consists of defining its parameter known as influence distance which characterize the level of the nonlocal properties in material. Calibration is carried out with the least squares method using the numerical simulation data. For this purpose the results of 3D finite element modeling of thermoset vinyl ester fiber reinforced plastic beam vibrations under the instantly applied load were used. The 3D finite element model of the beam was created in SIMULIA Abaqus taking into account the orthotropic properties of the material. The calibrated model was justified for the beams with changed geometry. The results presented in this paper were obtained during the research for the PhD thesis.