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Composites: Mechanics, Computations, Applications: An International Journal
ESCI SJR: 0.193 SNIP: 0.497 CiteScore™: 0.39

ISSN Imprimir: 2152-2057
ISSN On-line: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v8.i3.40
pages 239-265

FREE AND FORCED VIBRATIONS OF THICK-WALLED LAMINATED ANISOTROPIC CYLINDRICAL SHELLS WITH ACCOUNT FOR ENERGY DISSIPATION AT FREQUENCIES CLOSE TO RESONANCE ONES

Aleksandr V. Marchuk
National Transport University, 1 Suvorov Str., Kiev, 01010, Ukraine
S.V. Gnedash
National Transport University, 1 Suvorov Str., Kiev, 01010, Ukraine
D. O. Shandyba
National Transport University, 1 Suvorov Str., Kiev, 01010, Ukraine

RESUMO

Within the framework of the spatial theory of rigidity, two approaches to investigation of free and forced axially symmetric vibrations of anisotropic cylindrical shells have been developed with account for energy dissipation. They are based on the division of the given shell into a number of constituent shells over the thickness. In the first approach, for approximation of sought functions over the thickness polynomials are used, in the second, their distribution over the thickness on the basis of analytical solution of the corresponding system of differential equations. In the plan of the construction the sought functions are presented in the form of trigonometric functions. The necessity of developing two approaches is attributed to the fact that they have inaccuracies of approximation and arithmetic calculations, which are especially seen in calculation of forced vibrations at the frequencies close to the resonance ones. The calculation by two methods serves as the proof of its validity. An analysis of shell's behavior in free and forced vibrations at frequencies close to the resonance ones is made.


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