Multiple shooting method in stability analysis of non-prismatic multi-segment columns

Ryszard Hołubowski; Andrzej Merena

doi:10.35784/bud-arch.1977

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Published: Dec 11, 2013

DOI: https://doi.org/10.35784/bud-arch.1977

DOI

https://doi.org/10.35784/bud-arch.1977

Authors

Ryszard Hołubowski

ryszard.holubowski@pwr.wroc.pl

Institute of Civil Engineering; Faculty of Civil Engineering; Wrocław University of Technology

https://orcid.org/0000-0002-2999-2758

Andrzej Merena

andrzej.merena@o2.pl

AQ7 Design Office

Abstract

The application of multiple shooting method in stability analysis of non-prismatic multi-segment columns with pinned ends loaded with a concentrated force applied to the upper node has been presented. Numerical analyses were carried out for an exemplary three-segment column by solving the system of differential equations with variable coefficients and parameter. The results were compared with the solution obtained by using SOFiSTiK software based on the finite element method. The analyses show that considering the stiffness changes along the length can have a significant influence on the values of critical loads and thus change the resistance of the column. The advantage of the proposed method is its high efficiency and easy description of stiffness changes.

Keywords:

stability analysis, non-prismatic multi-segment columns, shooting method

References

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Hołubowski, R. and Merena, A. (2013) “Multiple shooting method in stability analysis of non-prismatic multi-segment columns”, Budownictwo i Architektura, 12(4), pp. 225–232. doi: 10.35784/bud-arch.1977.

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