The problem of determining the deformation of a longitudinally corrugated, long cylindrical shell under external pressure is considered. The topics that are covered can be summarized as follows: the formulation of a boundary value problem for the incremental approach as a normal system of differential equations under appropriate boundary conditions, the determination of postbuckling behavior characteristics for cylindrical shells using the discrete orthogonalization method, and an analysis of deformation for both closed and open cylindrical shells. In particular, we consider the stability and postbuckling behavior of both isotropic and composite shells. The solution is based on the relationships for the cubic version of nonlinear Timoshenko-type shell theory. A comparison is made with the well-established quadratic version, as well as analytical solutions where applicable. The necessity for using more precise equations to examine the postbuckling behavior of shells is shown. Using this higher-order approach, it is possible to determine the postbuckling behavior with much greater accuracy.
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National Academy of Sciences of Ukraine,
e-mail: mikolasem@mail.ru
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January 2014
Research-Article
On the Stability and Postbuckling Behavior of Shells With Corrugated Cross Sections Under External Pressure
Nikolai P. Semenyuk,
National Academy of Sciences of Ukraine,
e-mail: mikolasem@mail.ru
Nikolai P. Semenyuk
SP Timoshenko Institute of Mechanics
,National Academy of Sciences of Ukraine,
ul.Nesterova 3
,Kiev 03057, Ukraine
e-mail: mikolasem@mail.ru
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Alexandre I. Morenko,
Alexandre I. Morenko
1
The Chair of Higher Mathematics and IT,
e-mail: alexandremorenko@hotmail.com
Surgut State Pedagogical University
,Artema St. 9
,Surgut 628400
, Russia
e-mail: alexandremorenko@hotmail.com
1Corresponding author.
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Michael J. A. Smith
Michael J. A. Smith
Department of Mathematics,
e-mail: m.smith@math.auckland.ac.nz
The University of Auckland
,Private Bag 92019
,Auckland 1012
, New Zealand
e-mail: m.smith@math.auckland.ac.nz
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Nikolai P. Semenyuk
SP Timoshenko Institute of Mechanics
,National Academy of Sciences of Ukraine,
ul.Nesterova 3
,Kiev 03057, Ukraine
e-mail: mikolasem@mail.ru
Alexandre I. Morenko
The Chair of Higher Mathematics and IT,
e-mail: alexandremorenko@hotmail.com
Surgut State Pedagogical University
,Artema St. 9
,Surgut 628400
, Russia
e-mail: alexandremorenko@hotmail.com
Michael J. A. Smith
Department of Mathematics,
e-mail: m.smith@math.auckland.ac.nz
The University of Auckland
,Private Bag 92019
,Auckland 1012
, New Zealand
e-mail: m.smith@math.auckland.ac.nz
1Corresponding author.
Manuscript received August 16, 2012; final manuscript received March 20, 2013; accepted manuscript posted March 21, 2013; published online August 22, 2013. Assoc. Editor: George Kardomateas.
J. Appl. Mech. Jan 2014, 81(1): 011002 (8 pages)
Published Online: August 22, 2013
Article history
Received:
August 16, 2012
Revision Received:
March 20, 2013
Accepted:
March 21, 2013
Citation
Semenyuk, N. P., Morenko, A. I., and Smith, M. J. A. (August 22, 2013). "On the Stability and Postbuckling Behavior of Shells With Corrugated Cross Sections Under External Pressure." ASME. J. Appl. Mech. January 2014; 81(1): 011002. https://doi.org/10.1115/1.4024077
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