FREE VIBRATION ANALYSIS OF CYLINDRICAL SHELL FROM FIBERGLASS WITH NAVIER BOUNDARY CONDITIONS

Bosiakov S.M., Candidate of Physical and Mathematical Sciences, Associate Professor of the Department "Theoretical and Applied Mechanics", Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.

Zhiwei W., Graduate Student of the Department "Theoretical and Applied Mechanics", Belarusian State University, Minsk, Republic of Belarus

The analytical solution of approximate natural frequencies for the free vibration of cylindrical shells of GFRP (glass fiber reinforced plastic) with Navier boundary conditions is presented using the RayleighRitz method, while the winding angle varies. Frequency variations for different vibration modes with certain shell`s geometrical parameters are discussed. The effect of shell`s geometrical parameters is also investigated on natural frequencies.

cylindrical shell, fiberglass, natural frequency, Rayleigh-Ritz method, winding angle of fiberglass

• Mihasev G.I., Tovstik P.E. Lokalizovannye kolebanija i volny v tonkih obolochkah. Asimptoticheskie metody [Localized waves in thin shells. Asymptotic methods]. Moscow, FIZMATLIT, 2009. 292 p.
• Bazhanov V.L. [et al.]. Soprotivlenie stekloplastikov [Resistance of fiberglass plastic]. Moscow, Mashinostroenie, 1968. 304 p.
• Lee Y.S., Kim Y.W. Effect of boundary conditions on natural frequencies for rotating composite cylindrical shells with orthogonal stiffeners. Advances in Engineering Software, 1999, vol. 30, рр. 649-655.
• Xu Zh. Elasticity. Beijing, Higher Education Press, 2006, vol. II. 287 p.
• Bosjakov S.M., Chzhivjej V. Opredelenie sobstvennyh chastot anizotropnoj cilindricheskoj sharnirno opertoj obolochki iz orientirovannogo stekloplastika [Determination of the natural frequencies of simply supported-clamped anisotropic cylindrical shells from the oriented fiberglass]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2011, no. 2, pp. 54-57.
• Bosjakov S.M., Chzhivjej V. Opredelenie sobstvennyh chastot svobodnyh kolebanij tonkoj cilindricheskoj obolochki iz stekloplastika pri nesimmetrichnyh granichnyh uslovijah [Determination of natural frequencies of free oscillations of thin cylindrical shell from fiberglass under asymmetric boundary conditions]. Vestn. BGU [News of the BSU], 2011, no. 1, pp. 110-115.