FREE VIBRATIONS OF LIQUID-FILLED CYLINDRICAL SHELLS REINFORCED BY A CROSS SYSTEM OF RIBS UNDER AXIAL COMPRESSION WITH REGARD TO DISCRETE ALLOCATION OF RIBS

Latifov F.S., Doctor of Physical and Mathematical Sciences; Institute of Mathematics and Mechanics of NAS of Azerbaijan; Baku. The Republic of Azerbaijan; E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Aliyev A.A., Institute of Mathematics and Mechanics of NAS of Azerbaijan; Baku. The Republic of Azerbaijan

The paper is devoted to the investigation of vibrations of liquid-filled cylindrical shell reinforced by discretely distributed cross system of ribs under axial compression. It is assumed that the ribs are uniformly distributed on the surface of the shell. The problem is solved by energetic method. Using the Hamilton-Ostrogradsky principle, the frequency equation is constructed and its least root is found. Influence of the parameters of external medium and contractive force on the parameters of eager vibrations of the system is analyzed.

Liquid-filled cylindrical shell, axial compression, energetic method, eager vibrations

• Amiro I.Ya., Zarutskiy V.A. Teorija rebristyh obolochek. Metody rascheta obolochek [The theory of ribbed shells. Methods of calculating shells]. Kiev, Nauk. dumka Publ., 1980. 367 p.
• Ilgamov M.A. [et al.]. Prochnost, ustojchivost i dinamika obolochek s uprugim zapolnitelem [• Durability, stability and dynamics of shells with elastic filler • Durability, stability and dynamics of shells with elastic filler]. Minsk, Hauka Publ., 1977. 331 p.
• Latifov F.S. Kolebanija obolochek s uprugoj i zhidkoj sredoj [Fluctuations shells with elastic and liquid media]. Baku, Elm Publ., 1999. 164 p.