Diffraction of Surface Harmonic Viscoelastic Waves on a Multilayer Cylinder with a Liquid

The paper provides the statement of the problem, the development of a calculation method and an algorithm to solve the problems of propagation and absorption of non-axisymmetric natural waves in layered dissipative-inhomogeneous viscoelastic three-layer cylindrical bodies. A detailed analysis of well-known publications devoted to this problem is given. The paper posed the problem of non-axisymmetric natural wave propagation in three-layer cylindrical shells with fillers, taking into account the theory of hereditary viscoelasticity. Dispersion equations were obtained and the dependence of the phase velocity on the wavenumber for the three-layer shells was constructed. A calculation method was developed based on the Muller, Gauss, and orthogonal sweep methods. The program (in C++ language) was compiled based on the developed algorithm. Numerical results were obtained for the complex phase velocity depending on various wavenumbers and parameters of an axisymmetric cylindrical mechanical system for the Kirchhoff-Love and Timoshenko hypotheses. The change in the real and imaginary parts of the complex phase velocity under various parameters of the system was investigated for structurally homogeneous and inhomogeneous mechanical systems. The results obtained by the Kirchhoff-Love and Timoshenko hypotheses are in good agreement but differ in the wave absorbing abilities. It was found that a decrease in filler thickness at a rigid inner shell leads to a rapid increase in the real and imaginary parts of the vibration frequencies.

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Choice of optimum extinguishers parameters for a dissipative mechanical system

Mirsaidov

Теshaev

Ablokulov

et al. 2020

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

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This article provides a detailed analysis of the problem of the optimal choice of parameters of dynamic dampers with two degrees of freedom. The choice method is based on calculating the difference between the resonant frequency of the system without absorbers and the nearest resonant frequency of the system with absorbers. The optimal parameters are determined and the effectiveness of many mass-dynamic vibration dampers with various types of viscosity under vibrational impacts is estimated. It has been shown that frequency-independent friction equally affects how viscous friction affects the behavior of the protected structure and damper and its effectiveness. A sufficient condition for damping vibrations in both coordinates is the presence of two dampers for movement, installed at different points. Frequency limits are set to suppress damping simultaneously in the upper and lower surroundings with respect to the resonant frequency of the main system, and also only in the upper neighborhood. It was found that the use of more than two absorbers while maintaining their total mass affects the frequency band in which it is possible to dampen the oscillations of the system.

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Diffraction of Surface Harmonic Viscoelastic Waves on a Multilayer Cylinder with a Liquid

Cited by 3 publications

References 1 publication

On the action of normal moving load on a viscoelastic three-layer cylindrical shell

On the action of normal moving load on a viscoelastic three-layer cylindrical shell

Eigenwaves propagation in three-layer cylindrical viscoelastic shells with a filler non-uniform in thickness

Choice of optimum extinguishers parameters for a dissipative mechanical system

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