Abstract
The paper is devoted to the study of dissipative properties of inhomogeneous viscoelastic systems of structures with dynamic vibration dampers. A detailed analysis of well-known studies concerning this problem is given. A mathematical model, technique and algorithm for studying the dissipative properties of inhomogeneous viscoelastic systems of high-rise buildings with dynamic vibration dampers are developed in the paper, taking into account the real geometry of structures. The hereditary BoltzmannVolterra theory was used to describe the viscoelastic properties of the damper and springs material. To solve the problem, the finite element method and the Muller method were used. The natural vibration modes of the Novo-Angren TPP smokestack with dynamic vibration dampers were investigated for various damper parameters. The imaginary part of complex eigenfrequency of the system was used as a dissipative index. A number of new mechanical effects were identified. The developed technique can be used to optimize the parameters of a viscoelastic damper for a structure.
Highlights
The problem of reducing the vibrations level of structural units is associated with the need to increase their strength and protect them from the harmful effect of vibrations.To date, various methods and means of dealing with unacceptable vibrations of structures are known, in particular, a change in stiffness and inertial parameters of structures in order to detune from resonances, an increase in damping properties by using materials and structures with high absorbing ability, for example, special coatings, vibration isolation and vibration dampers [1,2,3,4,5]
The dissipative system oscillates according to a harmonic law with a complex eigenfrequency; the real part of this complex frequency means the system oscillation frequency, and the imaginary part determines the rate of oscillation damping and is, in the sense, the damping coefficient
All geometrical dimensions of the smokestack of Novo-Angren thermal power plant (TPP) were taken from the design documentation: the smokestack height H = 325.0 m
Summary
The problem of reducing the vibrations level of structural units is associated with the need to increase their strength and protect them from the harmful effect of vibrations.To date, various methods and means of dealing with unacceptable vibrations of structures are known, in particular, a change in stiffness and inertial parameters of structures in order to detune from resonances, an increase in damping properties by using materials and structures with high absorbing ability, for example, special coatings, vibration isolation and vibration dampers [1,2,3,4,5]. To assess the efficiency of a structure system with dampers, it is necessary to study the natural vibrations of dissipative systems, i.e. the most ordered motion of the system, occurring in the absence of external excitations. In this case, the dissipative system oscillates according to a harmonic law with a complex eigenfrequency; the real part of this complex frequency means the system oscillation frequency, and the imaginary part determines the rate of oscillation damping and is, in the sense, the damping coefficient
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