ABOUT FREE BOUNDARY AND INTERFACIAL VIBRATIONS OF THIN ELASTIC SEMI-INFINITE CIRCULAR CYLINDRICAL SHELLS

GHULGHAZARYAN Gurgen R., Dr. Phys-Math. Sc., Professor of the Department of Mathematical Analysis and Theory of Functions, The Armenian State Pedagogical University after Khachatur Abovyan, Yerevan, Republic of Armenia, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

GHULGHAZARYAN Ruben G., Cand. Phys-Math. Sc., Lead Engineer, Mentor Graphics Development Services CJSC, Yerevan, Republic of Armenia, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

MIKHASEV Gennadij I., Dr. Phys.-Math. Sc., Professor, Head of the Department of Bio- and Nano- Mechanics, Belarusian State University, Minsk, Republic of Belarus, E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Free boundary and interfacial vibrations of closed and nonclosed semiinfinite cylindrical shells composed of finite and semiinfinite 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 boundary and interfacial vibrations of composed cylindrical shells are derived. An algorithm for separating possible boundary and interfacial vibrations is presented. An asymptotic link is established between the dispersion equations of problems in hand and analogous problems for semiinfinite composed plate and platestrip, respectively. By examples of shells with different lengs of finite cylindrical shells approximate values of dimensionless characteristics of eigenfrequencies and attenuating characteristics of the related vibration forms are given.

interfacial vibrations, eigenfrequencies, shell

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