Effect of Insertion Viscoelastic Damping Layer with Different Thicknesses on the Dynamic Response of Multi-layered Beam in Forced Vibration

Abstract

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.

Analytical solutions for rheological processes around bores and tunnels

“…Various other fields of engineering also find such rheological models relevant, for solid materials like plastics, asphalt, biomaterials, etc., Pressurizing of thick-walled plastic tubes (an example that also turns out to be related to the present paper, as revealed at the end of the Conclusions) is just one example among the many, and the damping and delaying properties of such materials are not necessarily disadvantageous but can also be technologically benefitted, as utilized, for instance, for absorbing vibration [19]. All these motivate the development of solution methods for rheology and, as part of it, for linear viscoelasticity.…”

“…The plots are calculated with η = E d /E s = E d 0 /E s = 0.4 [to which the Poisson's ratio ν = 0.25 corresponds, cf. (19)].…”

Axisymmetric Stress State of Adhesive Joint of a Circular Patch with a Plate Weakened by a Circular Cut-out

“…The inertial terms can be added into the equations of equilibrium Eqs. ( 1)-( 3); as a result, the stress state model makes it possible to analyze dynamic stresses in adhesive joints of plates [23,24]. 3.…”

Vibration Analysis of Damaged Viscoelastic Composite Sandwich Plate

“…Fig. 3 illustrates the enlarged view of the composite sandwich plate in ANSYS using the shell element SHELL281 (denoted by 1) to modelize the face-sheets and the solid brick element SOLID186 (denoted by 2) to modelize the viscoelastic core [18]. For coupling the degree of Fig.…”

“…For coupling the degree of Fig. 3 Finite element modeling of the composite sandwich plate using the two different element types of ANSYS: adapted from [18] freedom of shell elements SHELL281 with the degree of freedom of solid brick elements SOLID186, the rigid constraint equations command CERIG developed in APDL Fig. 4 with the following syntaxis used [17]: CERIG, MASTE, SLAVE, Ldof, Ldof2, Ldof3, Ldof4, Ldof5.…”