Natural Oscillations of Viscoelastic  Lamellar Mechanical Systems with Point  Communications

Ibrahimovich, Safarov Ismail; Hudoyberdievich, Teshaev Muhsin; Maqsud, Madjidov

doi:10.4236/am.2014.519289

Cited by 4 publications

(3 citation statements)

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“…Approximate solution of vibrational Equation 13 for such bodies are known (for rectangular plates and circular cylindrical shells this is a fundamental sequence of beam functions). Then the approximating forms can be constructed as a finite expansion in known functions [35] [36]:…”

Section: Algorithm For the Implementation Of The Vibrational Methods Tmentioning

confidence: 99%

“…In the works of I. I. Safarov and et al [33] [34] [35] еhe linear problem of the natural vibrations of structurally inhomogeneous viscoelastic systems is considered. The structural heterogeneity of the system is determined by the presence of viscoelastic elements with different dissipative properties in it (otherwise it is a structurally homogeneous viscoelastic system).…”

Section: Introductionmentioning

confidence: 99%

“…A similar effect was found for a dissipative inhomogeneous viscoelastic structure consisting of two circular coaxially located cylindrical elastic shells interconnected by a massless viscoelastic element. Parameters of its relaxation kernel are[35]: materials considered here are hypothetical: the instantaneous stiffness of the shock absorber changes from 10 −2 to 10 2 . Mechanical characteristics of the shells are the same and The shock absorber connecting the shells has the coordinates of the applica-…”

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confidence: 99%

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Dynamics of Structurally Inhomogeneous Lamellar and Shell Mechanical Systems. Part 1

Mirsaidovich¹,

Ibrokhimovich²,

Khudoyberdievich³

2019

JAMP

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A vibrational statement, method and algorithm to assess the damping capacity of structurally inhomogeneous viscoelastic mechanical systems, consisting of a package of rectangular plates and shells with point relations and concentrated masses at different rheological properties of deformable elements, are proposed in the paper. To describe rheological properties of the material, the linear hereditary Boltzmann-Volter theory was used. To assess the damping capacity of the system, the problem in question in each case was reduced to solving the proper problems of algebraic equations with complex parameters solved by the Muller method. The accuracy of the methods was demonstrated by comparing the calculated results with known published data and a numerical experiment. Complex natural frequency of the system was used to assess the damping capacity of inhomogeneous viscoelastic systems. Various eigenvalue problems have been solved for structurally inhomogeneous mechanical systems consisting of a package of plate and shell systems with concentrated masses and shock absorbers. A number of new mechanical effects have been discovered, related to the manifestation of the damping capacity of mechanical systems under consideration.

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Section: Algorithm For the Implementation Of The Vibrational Methods Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of Structurally Inhomogeneous Lamellar and Shell Mechanical Systems. Part 1

Mirsaidovich¹,

Ibrokhimovich²,

Khudoyberdievich³

2019

JAMP

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Vibrations of multilayer composite viscoelastic curved pipe under internal pressure

Safarov

Теshaev

Yarashev

2021

IOP Conf. Ser.: Mater. Sci. Eng.

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The paper presents a mathematical statement and the methods to solve the problem of natural vibrations of thin-walled multilayer composite viscoelastic curved pipes under internal pressure. A brief overview of well-known publications devoted to this problem is given. The stress state and flexibility of the pipes are investigated for two types of boundary conditions, taking into account internal pressure and viscoelastic properties of the material and geometrical and physical parameters of the pipe. The paper provides the results of numerical analysis of the spectra of the lower complex eigenfrequencies of the pipe depending on internal pressure, geometrical, structural parameters, rheological properties and boundary conditions. Ten lower eigenfrequencies were found and the corresponding vibration modes constructed. The paper presents a comparison of solution results with known solutions and experimental results.

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Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems

Safarov¹,

Теshayev²,

Nuriddinov³

et al. 2017

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In the work, the problems of proper and forced oscillations of dissipative mechanical systems, consisting of rigid and deformable bodies are solved. To quantify the dissipative properties of the system, two values are proposed: the minimum resonance frequency of natural oscillations and the maximum resonant amplitude. In the study of the problem of dissipative inhomogeneous mechanical systems, a nonmonotonic dependence of the damping coefficients on the parameters of the system was observed. The concepts are derived Global damping factor, which characterizes the Damping properties of the dissipative mechanical system as a whole.

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Natural Oscillations of Viscoelastic Lamellar Mechanical Systems with Point Communications

Cited by 4 publications

References 0 publications

Dynamics of Structurally Inhomogeneous Lamellar and Shell Mechanical Systems. Part 1

Dynamics of Structurally Inhomogeneous Lamellar and Shell Mechanical Systems. Part 1

Vibrations of multilayer composite viscoelastic curved pipe under internal pressure

Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems

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