2019
DOI: 10.1088/1742-6596/1425/1/012017
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Natural Vibrations Of Structurally Inhomogeneous Multi-Connected Shell Structures With Viscoelastic Elements

Abstract: The methods for solving the problems of natural vibrations of structurally inhomogeneous, multi-connected, axisymmetric shell structures based on the hereditary theory of viscoelasticity are given in the paper. Using the basic relations of the hereditary theory of viscoelasticity and asymptotic methods, the problem of natural vibrations of structurally inhomogeneous, multi-connected, axisymmetric shell structures is reduced to the effectively solvable mathematical problem of complex eigenvalues, in which appro… Show more

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Cited by 11 publications
(2 citation statements)
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“…Articles [16][17][18][19][20][21] are devoted to studying the dynamics of structurally inhomogeneous, multi-connected shell structures, considering the influence of liquid and viscoelastic elements. Based on the laws of mechanics and the Lagrange principle, a mathematical model of the structure has been developed.…”
Section: Introductionmentioning
confidence: 99%
“…Articles [16][17][18][19][20][21] are devoted to studying the dynamics of structurally inhomogeneous, multi-connected shell structures, considering the influence of liquid and viscoelastic elements. Based on the laws of mechanics and the Lagrange principle, a mathematical model of the structure has been developed.…”
Section: Introductionmentioning
confidence: 99%
“…In works [8,9,10,11], dynamic problems for the "structure-soil" system are considered. Nonlinear vibrations of an axisymmetric body under the action of impulse loads, forced axisymmetric vibrations of a viscoelastic cylindrical shell, natural vibrations of structurally inhomogeneous multiply connected shell structures with viscoelastic elements are considered [12,13,14]. The method of compensating loads applied to the problems of equilibrium, vibrations and stability of plates and membranes is presented in [15].…”
Section: Introductionmentioning
confidence: 99%