Buckling analysis of moderately thick rotational shells under uniform pressure using the Ritz method

Vo, K. K., Wang, C. M. and Chai, Y. H. (2008) Buckling analysis of moderately thick rotational shells under uniform pressure using the Ritz method. Journal of Structural Engineering, 134 4: 593-601. doi:10.1061/(ASCE)0733-9445(2008)134:4(593)


Author Vo, K. K.
Wang, C. M.
Chai, Y. H.
Title Buckling analysis of moderately thick rotational shells under uniform pressure using the Ritz method
Journal name Journal of Structural Engineering   Check publisher's open access policy
ISSN 0733-9445
1943-541X
Publication date 2008-04-01
Sub-type Article (original research)
DOI 10.1061/(ASCE)0733-9445(2008)134:4(593)
Open Access Status Not yet assessed
Volume 134
Issue 4
Start page 593
End page 601
Total pages 9
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Abstract This paper is concerned with an application of the Ritz method for elastic, axisymmetric, buckling analysis of moderately thick, rotational orthotropic shells under uniform external pressure. In order to capture the effect of transverse shear deformation, which is significant for thick shells, the Mindlin shell theory is used. In applying the Ritz method, the displacement components of the shell are approximated by the product of one-dimensional polynomial functions, and the boundary equations are raised to the appropriate powers so as to ensure the satisfaction of geometric boundary conditions a priori. The validity of the method, convergence and accuracy of solutions are demonstrated using spherical shells, which is a special case of rotational shells, where closed-form solutions exist for some cases. A parametric study is conducted on spherical and parabolic shells, considering the effects of height-to-base-radius ratios, thickness-to-radius ratios, and different support conditions on the buckling solutions. The new solutions should be useful to researchers and engineers who are developing analytical tools and designs of shells.
Keyword Buckling
Shear deformation
Spherical shells
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
Versions
Version Filter Type
Citation counts: Scopus Citation Count Cited 2 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Mon, 16 Jan 2017, 21:53:37 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)