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

Mirsaidov, Mirziyod; Safarov, Ismoil; Teshaev, Mukhsin; Boltayev, Z I

doi:10.1088/1742-6596/1706/1/012033

Cited by 22 publications

(7 citation statements)

References 32 publications

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“…Figure 4 shows the change in the first resonance peak depending on the frequency for different values of the ratio of the radii (R is the outer radius, R 0 inner radius of the filler) of the cylindrical body. The considered mechanical system is dissipatively homogeneous [17,18]. It is seen that with an increase in the ratio of the radii, the corresponding amplitude-frequency characteristics of the loop voltage decrease.…”

Section: Resultsmentioning

confidence: 99%

Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material

et al. 2021

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A thin-walled shell and a thick-walled mass (cylinder) in contact with it, made of a different material, are structural elements of many machines, apparatus, and structures. The paper considers forced steady-state vibrations of cylindrical shell structures filled with a layered viscoelastic material. The study aims to determine the damping properties of vibrations of a structurally inhomogeneous cylindrical mechanical system under the influence of harmonic loads. The dynamic stress-strain state of a three-layer cylindrical shell filled with a viscoelastic material under the action of internal time-harmonic pressure is investigated. The oscillatory processes of the filler and the bonded shell satisfy the Lamé equations. At the contact between the shell and the filler, the rigid contact conditions are satisfied. Dependences between stresses and strains for a linear viscoelastic material are presented in the form of the Boltzmann-Voltaire integral. The method of separation of variables, the method of the theory of potential functions (special functions), and the Gauss method are used to solve this problem. Based on the analysis of the numerical results, it was found that the dependence of the resonant amplitude of the shell displacements on the viscous properties of the filler is 12-15%. Analysis of the results obtained shows that the study of vibrations of shells containing fillers according to the rod theory will lead to rather large erroneous results (up to 20%).

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Section: Resultsmentioning

confidence: 99%

Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material

et al. 2021

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“…The moisture content of raw cotton will approach equilibrium due to the diffusion process. The equation of the diffusion process can be written through a three-dimensional equation [10,15].…”

Section: Methodsmentioning

confidence: 99%

Relative speed and temperature effect investigation of the of the drying agent on the moisture content of cotton

et al. 2021

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In this article, the influence of the relative air velocity and temperature on the moisture transfer rate for raw cotton is studied. At relative air velocities varying from 0.05-0.6 m/s using a laboratory setup and different temperatures of the drying agent and humidity of raw cotton, the dependences characterizing the process of moisture sampling and desorption (drying) of raw cotton, as well as the diffusion process occurring inside the sample, are obtained.

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“…Considering the rheological properties of the material allows you to increase (or decrease) the frequency values of the shell up to 10%. For bending vibrations, a significant decrease in the local maxima of normal displacements is observed with an increase in the area of the annular edges of the shell [29,30]. This effect becomes more noticeable with an increase in the frequency number n [31,32].…”

Section: Methods Of Solutionmentioning

confidence: 99%

Natural Vibrations of the Reinforced Tapered Shell with Taking Into Account the Viscoelastic Properties of the Material

et al. 2021

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In this paper, the integro-differential equations of natural oscillations of a viscoelastic ribbed truncated conical shell are obtained based on the Lagrange variational equation. The general research methodology is based on the variational principles of mechanics and variational methods. Geometrically nonlinear mathematical models of the deformation of ribbed conical shells are obtained, considering such factors as the discrete introduction of edges. Based on the finite element method, a method for solving and an algorithm for the equations of natural oscillations of a viscoelastic ribbed truncated conical shell with articulated and freely supported edges is developed. The problem is reduced to solving homogeneous algebraic equations with complex coefficients of large order. For a solution to exist, the main determinant of a system of algebraic equations must be zero. From this condition, we obtain a frequency equation with complex output parameters. The study of natural vibrations of viscoelastic panels of truncated conical shells is carried out, and some characteristic features are revealed. The complex roots of the frequency equation are determined by the Muller method. At each iteration of the Muller method, the Gauss method is used with the main element selection. As the number of edges increases, the real and imaginary parts of the eigenfrequencies increase, respectively.

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

Cited by 22 publications

References 32 publications

Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material

Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material

Relative speed and temperature effect investigation of the of the drying agent on the moisture content of cotton

Natural Vibrations of the Reinforced Tapered Shell with Taking Into Account the Viscoelastic Properties of the Material

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