Defining of nonlocal damping model parameters based on composite beam dynamic behaviour numerical simulation results

The nonlocal model of internal damping is considered in this paper using the Euler-Bernoulli 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 ofeigenmodes is obtained for the beam under an instantly applied distributed load. The influenceof nonlocal damping model parameters variation on the beam vibration process simulation results is shown. The beam is considered under a periodic deterministic distributed load. Defining of nonlocal damping model parameters is carried out using results of numerical three-dimensional finite element simulation. The parameters are defined for the glass fibre reinforced plastic beam with the fixed ends under the instantly applied distributed load. The parameters obtained for two different kernel functions and corresponding standard errors are compared. An opportunity of one-dimensional beam model use for the design of composite elements is shown and justified. © Published under licence by IOP Publishing Ltd.