Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Free vibrations of a cylindrical shell made of an anisotropic material. / Tovstik, Petr E.; Tovstik, Tatiana Petrovna.
ECCOMAS Thematic Conference - COMPDYN 2013: 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings - An IACM Special Interest Conference. National Technical University of Athens (NTUA), 2013. p. 4247-4262.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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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 -
ID: 4657489