COMPUTER SIMULATION OF STRUCTURAL VIBRATION DAMPING WITH ALLOWANCE FOR NONLOCAL PROPERTIES

Abstract

Different approaches to the computer simulation of damping properties of structural elements, which are made of materials with complicated physical structure, such as composites and nano-materials, are considered in this paper. In such cases application of classical models, e.g. ones based on the Kelvin-Voight hypothesis, can lead to the results that are not even close to the real composite structure behavior. The main point of the proposed approaches is delocalization of the damping effects in space and time. The described nonlocal damping models are more flexible in comparison to classic ones. The model calibration based on the experiment data allows to determine the optimum value of the characteristic parameter of nonlocal model using the least square method. The results of three-dimensional numerical simulation of the composite beam vibration were used for model calibration. The numerical simulation was implemented in SIMULIA Abaqus software. The material was considered as orthotropic; its parameters were picked up according to the physical properties of the real composite material. The developed beam vibration models considering nonlocal damping were created in MATLAB. The obtained results were compared to the results based on classic Kelvin-Voight damping model.