An application of differential transformation to stability analysis of heavy columns

Chai, Y. H. and Wang, C. M. (2006) An application of differential transformation to stability analysis of heavy columns. International Journal of Structural Stability and Dynamics, 6 3: 317-332. doi:10.1142/S0219455406001988


Author Chai, Y. H.
Wang, C. M.
Title An application of differential transformation to stability analysis of heavy columns
Journal name International Journal of Structural Stability and Dynamics   Check publisher's open access policy
ISSN 0219-4554
1793-6764
Publication date 2006-09-01
Sub-type Article (original research)
DOI 10.1142/S0219455406001988
Open Access Status Not yet assessed
Volume 6
Issue 3
Start page 317
End page 332
Total pages 16
Place of publication Singapore, Singapore
Publisher World Scientific Publishing
Language eng
Abstract This paper uses a recently developed technique, known as the differential transformation, to determine the critical buckling load of axially compressed heavy columns of various support conditions. In solving the problem, it is shown that the differential transformation technique converts the governing differential equation into an algebraic recursive equation, which must be solved together with the differential transformation of the boundary conditions. Although a fairly large number of terms are required for convergence of the solution, the differential transformation method is nonetheless efficient and fairly easy to implement. The method is also shown to be very accurate when compared with a known analytical solution. The stability of heavy columns is further examined using approximate formulae currently available in the literature. In this case, the differential transformation method offers a reference for assessing the accuracy of the approximate buckling formulae.
Keyword Differential transformation
Eigenvalues
Heavy column buckling
Rayleigh-Ritz method
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
 
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Citation counts: TR Web of Science Citation Count  Cited 14 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 16 times in Scopus Article | Citations
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Created: Tue, 17 Jan 2017, 20:41:41 EST by Anthony Yeates on behalf of Learning and Research Services (UQ Library)