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Structural similitude in free vibration of orthogonally stiffened cylindrical shells
, Article Thin-Walled Structures ; Volume 47, Issue 11 , 2009 , Pages 1316-1330 ; 02638231 (ISSN) ; Navazi, H. M ; Jafari, A. A ; Bagheri, M ; Sharif University of Technology
2009
Abstract
In this paper, the necessary similarity conditions, or scaling laws, for free vibrations of orthogonally stiffened cylindrical shells are developed using the similitude theory. The Donnell-type nonlinear strain-displacement relations along with the smearing theory are used to model the structure. Then the principle of virtual work is used to analyze the free vibration of the stiffened shell. After non-dimensionalizing the derived formulations, the scaling laws are developed, using the similitude theory. Then, different examples are solved to validate the scaling laws numerically and experimentally. The obtained results show the effectiveness of the derived formulations. © 2009 Elsevier Ltd....
Scaled down models for free vibration analysis of orthogonally stiffened cylindrical shells using similitude theory
, Article 26th Congress of International Council of the Aeronautical Sciences 2008, ICAS 2008, Anchorage, AK, 14 September 2008 through 19 September 2008 ; Volume 2 , 2008 , Pages 3458-3469 ; 9781605607153 (ISBN) ; Jafari, A. A ; Navazi, H. M ; Sharif University of Technology
2008
Abstract
In this paper, the necessary similarity conditions, or scaling laws, for free vibrations of orthogonally stiffened cylindrical shells are developed using similitude theory. The Donnelltype nonlinear strain-displacement relations along with smearing theory are used to model the structure. Then the principle of virtual work is used to analyze the free vibration of the stiffened shell. After nondimensionalizing the derived formulations, the scaling laws are developed, using similitude theory. Then, different examples are solved to validate the scaling laws numerically and experimentally. The obtained results show the effectiveness of the derived formulations