Abstract
The paper gives the equations of a general applied two-dimensional theory for the dynamics of micropolar elastic thin shells with independent fields of motion and rotation that completely take into account all rotation-shift and related deformations. Problems on free and forced oscillations of micropolar elastic shells are studied on the basis of this general theory. Special features for the dynamic behavior of shells made of a micropolar elastic material are revealed on the basis of numerical analysis.
Similar content being viewed by others
References
A. E. Green and P. M. Naghdi, IJSS 4, 585 (1968).
P. A. Zhilin, in Dynamics and Hardness of Machines. Proc. Leningr. Politekhn. Inst. (Leningr. Politekhn. Inst., Leningrad, 1982), pp. 29–42.
V. A. Pal’mov, in Collection of Papers’ Mechanics of Deformed Body’ (Nauka, Moscow, 1986), pp. 106–112.
L. I. Shkutin, Mechanics of Elastic Body Deformations (Sibir. Otd. Akad. Nauk SSSR, Novosibirsk, 1988).
M. B. Rubin, Cosserat Theories: Shells, Rods and Points (Kluwer, Dordrecht, 2000).
G. A. Vanin, Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 116 (2004).
M. Birsan, Int. J. Eng. Sci. 45, 187 (2007).
G. L. Brovko and O. A. Ivanova, Mechanics of Solids, 43, 18 (2008).
V. A. Eremeev and L. M. Zubov, Mechanics of Elastic Shells (Nauka, Moscow, 2008) [in Russian].
H. Altenbach and V. A. Eremeyev, Zh. Angew. Math. Mech. 89, 242 (2009).
J. Altenbach, H. Altenbach, and V. A. Eremeyev, Arch. Mech. (Special issue) (2009).
S. H. Sargsyan, Doklady Ross. Akad. Nauk 436, 195 (2011).
S. H. Sargsyan and A. H. Sargsyan, Acoust. Phys. 57, 473 (2011).
S. H. Sargsyan, Doklady Nats. Akad. Nauk Armenii 111, 121 (2011).
M. P. Varygina, O. V. Sadovskaya, and V. M. Sadovskii, J. Apll. Mech. Techn. Phys. 51, 405 (2010).
V. A. Pal’mov, Prikl. Mat. Mekh. 28, 1117 (1964).
V. Novatskii, Theory of Elasticity (Mir, Moscow, 1975) [in Russian].
V. V. Novozhilov, Theory of Thin Shells (Sudostroenie, Leningrad, 1962) [in Russian].
B. L. Pelekh, Theory of Shells with Finite Shear Hardness (Naukova Dumka, Kiev, 1973) [in Russian].
A. K. Pertsev and E. G. Platonov, Dynamics of Shells and Plates (Unstationary Problems) (Sudostroenie, Leningrad, 1987) [in Russian].
Ya. M. Grigorenko, A. T. Vasilenko, and G. P. Golub, Statics of Anisotropic Shells with Finite Shear Hardness (Naukova Dumka, Kiev, 1987) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.H. Sargsyan, A.H. Sargsyan, 2013, published in Akusticheskii Zhurnal, 2013, Vol. 59, No. 2, pp. 170–181.
Rights and permissions
About this article
Cite this article
Sargsyan, S.H., Sargsyan, A.H. Model of micropolar thin shell oscillations. Acoust. Phys. 59, 148–158 (2013). https://doi.org/10.1134/S106377101301017X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106377101301017X