TY - GEN

T1 - Free vibrations of a cylindrical shell made of an anisotropic material

AU - Tovstik, Petr E.

AU - Tovstik, Tatiana Petrovna

PY - 2013

Y1 - 2013

N2 - Two-dimensional model of shell made of an anisotropic material described by 21 elastic moduli is delivered. It is shown that, in the general case (in contrary to isotropic or orthotropic materials), both the Kirchhoff-Love and the Timoshenko-Reissner hypotheses result in 2D models, which are inconsistent in the major terms with respect to the small thickness parameter equal to the ratio between the thickness of shell and the wavelength. For this aim the generalized Timoshenko-Reissner hypothesis is proposed. The asymptotic analysis of the obtained 2D shell model is used to investigate the cylindrical shell free vibrations. The main types of the vibration modes are described and they are compared with the modes of the isotropic shell. The membrane modes are investigated. The system of Donnell type is delivered. This system is used to investigate free vibrations of a circular cylindrical shell. The example of material with the general anisotropy is given.

AB - Two-dimensional model of shell made of an anisotropic material described by 21 elastic moduli is delivered. It is shown that, in the general case (in contrary to isotropic or orthotropic materials), both the Kirchhoff-Love and the Timoshenko-Reissner hypotheses result in 2D models, which are inconsistent in the major terms with respect to the small thickness parameter equal to the ratio between the thickness of shell and the wavelength. For this aim the generalized Timoshenko-Reissner hypothesis is proposed. The asymptotic analysis of the obtained 2D shell model is used to investigate the cylindrical shell free vibrations. The main types of the vibration modes are described and they are compared with the modes of the isotropic shell. The membrane modes are investigated. The system of Donnell type is delivered. This system is used to investigate free vibrations of a circular cylindrical shell. The example of material with the general anisotropy is given.

KW - Cylindrical shell

KW - Free vibrations

KW - Material with general anisotropy

UR - http://www.scopus.com/inward/record.url?scp=84899011282&partnerID=8YFLogxK

M3 - Conference contribution

SP - 4247

EP - 4262

BT - ECCOMAS Thematic Conference - COMPDYN 2013

PB - National Technical University of Athens (NTUA)

T2 - 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013

Y2 - 12 June 2013 through 14 June 2013

ER -