Abstract

The variety of viscoelastic systems and structures, for the most part, is studied analytically, with significant results. As a result of analytical, numerical and experimental research, which was conducted on a larger variety of linear viscoelastic systems and structures. We analyzed the dynamic behavior for the viscoelastic composite materials, anti-vibration viscous-elastic systems consisting of discrete physical devices, road structures consisting of natural soil structures with mineral aggregates and asphalt mixes, and mixed mechanic systems of insulation of the industrial vibrations consisting of elastic and viscous devices. In this context, the compound rheological model can be schematized as being V−(E|V) type of the Newton Voigt–Kelvin model with inertial excited mass, applicable to linear viscoelastic materials.

Highlights

  • The dynamic model consists in the fact that the Newton Voigt–Kelvin linear viscoelastic system consists of a mobile mass m driven by an inertial rotational excitation force, named dynamic action F(t), and the fixed basis part that the dynamic action is transmitted to, named transmitted dynamic force

  • The dynamic analysis of the response highlights the parametric evolution of the amplitudes of the instantaneous displacements, of the transmitted dynamic force and of the dissipated energy in relation to the continuous variation of the excitation pulsation ω or Ω = ωωn and, according to the discrete variation of the linear viscosity parameters c or ζ, where ωn is the natural pulsation of the system and ζ is the fraction of the critical amortization so that c = 2ζωn m

  • The families of curves were numerically lifted and experimentally checked on significant domains of technical interest, the specific conclusions being established with the dynamic behavior of the materials, systems and Newton Voigt–Kelvin V − (E|V ) type modelled structured. [4,5]

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Summary

Introduction

Systems and harmonically excited linear viscoelastic structures, the dynamic behavior can be described by the rheological Newton Voigt–Kelvin model. The dynamic model consists in the fact that the Newton Voigt–Kelvin linear viscoelastic system consists of a mobile mass m driven by an inertial rotational excitation force, named dynamic action F(t), and the fixed basis part that the dynamic action is transmitted to, named transmitted dynamic force. The families of curves were numerically lifted and experimentally checked on significant domains of technical interest, the specific conclusions being established with the dynamic behavior of the materials, systems and Newton Voigt–Kelvin V − (E|V ) type modelled structured. A high number and are experimentally verified areas of technical interest established specific conclusions consistent with the dynamic behavior of materials, systems and structures modeled with. Newton Voigt–Kelvin type V − (E|V). [6,7,8]

Dynamic Response at Displacements
Newton
Transmitted Dynamic Force e as
Dynamic Insulation Capacity
Dissipated Energy
Findings
Conclusions
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