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2013, № 1 (150)



Kudina L.I. FREE VIBRATIONS OF SHALLOW ORTHOTROPIC SHELL OF MEDIUM THICKNESSOn the basis of the equations considering all components of the deflected mode and all inertial components of the cross section, the problem of the determination of frequencies of free vibrations of a shallow orthotropic shell is solved. The additional free frequency connected to the accounting of a thickness reduction of a material is received. The quantitative research of influence of compressibility of the material of the shell in the transversal direction on the value of the lowest frequency of free vibrations is carried out.Key words: shallow orthotropic shell, free vibrations, Tymoshenko's specified theory, hypothesis of "nonrigid" normal.

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References:

1 Novozhilov, V. V. The theory of elasticity / V.V. Novozhilov. — L.: Sudpromgiz, 1958. — 370 p.

2 Mushtari, Kh. M. Theory of shallow orthotropic shells of medium thickness / Kh. M. Mushtari, I. G. Teregulov // Trans. USSR Acad Sci. Mechanics and mechanical engineering. — 1959. — № 6. — P. 60–67.

3 Kudina, L. I. A non-linear specified dinamics of shallow orthotropic shells of medium thickness / L. I. Kudina ; Leningrad Institute of Civil Eng. — Leningrad, 1990. — 12 р. — Dep. at All-Union Inst. of Scien. and Techn. Inform. 11.04.90, № 2026-В90.


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Author: Kudina L.I.

Year: 2013


Editor-in-chief
Sergey Aleksandrovich
MIROSHNIKOV

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