Open AccessEffect of Insertion Viscoelastic Damping Layer with Different Thicknesses on the Dynamic Response of Multi-layered Beam in Forced Vibration
Author(s) -
Messaoud Baali,
Mohamed Nadir Amrane
Publication year - 2020
Publication title -
periodica polytechnica. mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.259
H-Index - 16
eISSN - 1587-379X
pISSN - 0324-6051
DOI - 10.3311/ppme.11110
Subject(s) - viscoelasticity , vibration , finite element method , materials science , natural frequency , structural engineering , beam (structure) , nonlinear system , core (optical fiber) , newmark beta method , equations of motion , transient response , fractional calculus , mechanics , acoustics , composite material , physics , mathematical analysis , classical mechanics , engineering , mathematics , electrical engineering , quantum mechanics
In this work, we study the effect of the thickness variation of viscoelastic layer inserted in a laminated multi-layer beam in forced vibration on the vertical displacements and on the natural frequencies. The new structure is a sandwich structure composed by two external layers (top and bottom facesheets) of aluminum and viscoelastic core of 3M ISD112 polymers. The viscoelastic model used to describe the behavior of the core is a four-parameter fractional derivative model. The finite element method including the viscoelastic model of fractional derivatives for modeling the sandwich structure is used. The system resolution of the nonlinear equations of motion of the sandwich structure is required to use a numerical integration method as the explicit method of Newmark to obtain the transient response. Also, ANSYS finite element modeling is applied to the sandwich structure to calculate the frequency response in harmonic vibration. The increase in the thickness of the viscoelastic layer leads to a decrease in the amplitudes of vibration. The natural frequencies found by the two methods are very close to the frequencies found experimentally in the literature.