Spatial forced oscillations of axisymmetric inhomogeneous systems

Mirsaidov, Mirziyod; Nosirov, Abdurakhmon; Nasirov, Ismoil

doi:10.1051/e3sconf/202016402009

Cited by 3 publications

(5 citation statements)

References 17 publications

(27 reference statements)

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“…These studies do not entirely confirm the statement given in [26,30], that in structurally inhomogeneous systems when two or more eigenfrequencies approach each other, it is possible to achieve a sharp increase in the damping rate of certain vibration modes of the structure due to the interaction of close natural vibration modes of the structure and the damper. In fact, with an increase in the damper stiffness, the dissipative ability of the damper increases due to a decrease in these properties of the structure.…”

Section: Assessment Of the Complex Eigenfrequency Of Structures With Dynamic Damperscontrasting

confidence: 78%

“…w z t w z e i t ( , ) ( ) In this case, the parameters reflecting the viscoelastic properties of the structure and damper material are replaced by approximate relations [26,30,32]  …”

Section: Mathematical Model Of the Problemmentioning

confidence: 99%

“…It is known [26,30] that the greatest level of damping can be achieved only for inhomogeneous systems, i.e. when one part of the structure is elastic and the other is viscoelastic, or if both parts of the structure are viscoelastic, but of different viscoelastic properties.…”

Section: Assessment Of the Complex Eigenfrequency Of Structures With Dynamic Dampersmentioning

confidence: 99%

“…Along with this, a number of publications were devoted to the study of the dynamics of various inhomogeneous systems, taking into account their features and operating conditions, in which the behavior of various structures under dynamic loading was evaluated [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

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Damping of high-rise structure vibrations with viscoelastic dynamic dampers

et al. 2020

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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.

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Section: Assessment Of the Complex Eigenfrequency Of Structures With Dynamic Damperscontrasting

confidence: 78%

“…w z t w z e i t ( , ) ( ) In this case, the parameters reflecting the viscoelastic properties of the structure and damper material are replaced by approximate relations [26,30,32]  …”

Section: Mathematical Model Of the Problemmentioning

confidence: 99%

Section: Assessment Of the Complex Eigenfrequency Of Structures With Dynamic Dampersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Damping of high-rise structure vibrations with viscoelastic dynamic dampers

et al. 2020

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“…-in [4], forced vibrations of axisymmetric bodies of a non-homogeneous structure are considered. A technique for modeling such bodies and analyzing their dynamic behavior in the presence of external influences are given.…”

Section: Introductionmentioning

confidence: 99%

Investigation of nonlinear oscillations of high rise flue gas stacks under various kinematic effects

Ishmatov,

Yuldoshev,

Khazratkulov

et al. 2023

E3S Web of Conf.

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A detailed analysis of the current state of the problem is presented in the article. A mathematical model is given to assess the dynamic behavior of high-rise structures, considering geometric nonlinearity (nonlinear dependence of strains on displacements) under periodic kinematic effects and the own weight of the structure. The unsteady forced oscillations of the high-rise flue gas stack of the Novo-Angrenskaya HPP were studied considering the geometric dimensions of the stack and the physical and mechanical characteristics of the material of the structure. The influence of dissipation in the material, leading to rapid or gradual damping of vibrations depending on the frequency spectrum of natural vibrations in one direction or another, as well as geometric nonlinearity, leading to an increase in the amplitude of vibrations at a low energy dissipation in the structure, and resonant impact, causing significant displacements of the structure. The predominant effect of energy dissipation in the material on the pattern of the dynamic behavior of a high-rise structure is observed compared to geometric nonlinearity.

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Dynamics of structural - inhomogeneous coaxial-multi-layered systems "cylinder-shells"

Mirsaidov

Safarov

Teshaev

et al. 2020

J. Phys.: Conf. Ser.

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A mathematical model and a technique for assessing the efficiency of the dissipative ability of structurally inhomogeneous mechanical systems consisting of multilayer cylinders bonded to a thin viscoelastic shell of finite length have been developed. A detailed analysis of the known works devoted to this problem is given. A model, methodology, and algorithm for studying the natural and forced oscillations of a system to assess the damping ability of structurally inhomogeneous elastic and viscoelastic mechanical systems, taking into account the influence of the geometric and physico-mechanical parameters of the shell and cylinderhave been developed. In solving the problems considered, the method of divided variables, the method of the theory of potential functions, the Mueller method, the Gauss method and the orthogonal sweep method were used. The complex eigenfrequencies, amplitudes of forced oscillations are determined, and the largest dephasing abilities of the considered structurally inhomogeneous systems are estimated. It has been revealed that, the effect of the greatest damping ability in structurally heterogeneous systems is manifested when the real parts of complex natural frequencies come closer due to the interaction of close natural forms with each other.

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Spatial forced oscillations of axisymmetric inhomogeneous systems

Cited by 3 publications

References 17 publications

Damping of high-rise structure vibrations with viscoelastic dynamic dampers

Damping of high-rise structure vibrations with viscoelastic dynamic dampers

Investigation of nonlinear oscillations of high rise flue gas stacks under various kinematic effects

Dynamics of structural - inhomogeneous coaxial-multi-layered systems "cylinder-shells"

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