Free vibrations of a cylindrical shell made of an anisotropic material

Petr E. Tovstik, Tatiana Petrovna Tovstik

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationECCOMAS Thematic Conference - COMPDYN 2013
Subtitle of host publication4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings - An IACM Special Interest Conference
PublisherNational Technical University of Athens (NTUA)
Pages4247-4262
Number of pages16
StatePublished - 2013
Event4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013 - Kos Island, Greece
Duration: 12 Jun 201314 Jun 2013

Conference

Conference4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013
CountryGreece
CityKos Island
Period12/06/1314/06/13

Scopus subject areas

  • Computational Theory and Mathematics
  • Civil and Structural Engineering

Keywords

  • Cylindrical shell
  • Free vibrations
  • Material with general anisotropy

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