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Proceedings of National Academy of Sciences of Armenia, Mechanics, 2018, Volume 71, Issue 1, Pages 61–77 (Mi pasam5)

Free interfacial and boundary vibrations of thin elastic circular cylindrical shells with free ends

G. R. Gulgazaryana, Л. Гулгазарянa, G. I. Mikhasevb

a Institute of Mechanics, National Academy of Sciences of Armenia
b S. M. Kirov State Pedagogical Institute

Abstract: Free boundary and interfacial vibrations of closed and non-closed cylindrical shells composed of two finite orthotropic thin cylindrical shells with different elastic properties are studied. Using the system of equations of the related classical theory of orthotropic cylindrical shells dispersion equations and asymptotic formulas for obtaining eigenfrequencies of possible interfacial and boundary vibrations of composed cylindrical shells are derived. Asymptotic links are established between the dispersion equations of problems at hand and analogous problems for a composed rectangular plate and plate-strip, respectively. An algorithm for separating possible interfacial vibrations is presented.

Keywords: interfacial and boundary vibrations, eigenfrequencies, shell.



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