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COBEM 2021
26th International Congress of Mechanical Engineering
Transient analyses of viscoelastic systems based on an improved fractional derivative model and a reduction technique
Submission Author:
Erivaldo Pereira Nunes , PE , Brazil
Co-Authors:
Erivaldo Pereira Nunes, Antonio Marcos de Lima, Gabriella Faina Garcia, João Pedro Sena
Presenter: Erivaldo Pereira Nunes
doi://10.26678/ABCM.COBEM2021.COB2021-0012
Abstract
Vibration control is an important field in the study of structures and one of the ways widely used to mitigate structural oscillations is passive control using viscoelastic materials. The damping properties of these materials are sensitively influenced by environmental factors, and are highly dependent on its temperature and on the excitation frequency. Modeling the time domain behavior of these materials is challenging, since the temperature and frequency dependence must be described. Accordingly finite element models for industrial applications that use viscoelastic damping are usually complex, and even with the development of more efficient models – as the one that will be used in this paper –, it is usually necessary to apply a model reduction method. Therefore, this paper aims to present a model reduction technique applied to the time domain analysis of a sandwich beam with a viscoelastic core subjected to a dynamic loading. An improved fractional derivative model based on recurrence terms is used to describe the viscoelastic layer mechanical behavior. Then the system is discretized by the finite element method, the parameters of the model are optimized for some temperatures, and finally, the equation of motion of the system is evaluated. Through this procedure, the time domain responses are represented and compared, what shows the high capacity of the reduced model to describe the behavior of the dynamic system.
Keywords
Viscoelastic material, Vibration control, fractional calculus, Finite Element Method, model reduction technique
