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Structural Engineering and Mechanics Volume 45, Number 5, March 2013 , pages 613-629 DOI: https://doi.org/10.12989/sem.2013.45.5.613 |
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Out-of-plane elastic buckling of truss beams |
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Alexis Fedoroff and Reijo Kouhia
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| Abstract | ||
| In this article we will present a method to directly evaluate the critical point of a non-linear system by using the solution of a polynomial eigenvalue approximation as a starting point for an iterative non-linear system solver. This method will be used to evaluate out-of-plane buckling properties of truss structures for which the lateral displacement of the upper chord has been prevented. The aim is to assess for a number of example structures whether or not the linearized eigenvalue solution gives a relevant starting point for an iterative non-linear system solver in order to find the minimum positive critical load. | ||
| Key Words | ||
| truss structures; out-of-plane buckling; non-linear iterative solver; polynomial eigenvalue problem | ||
| Address | ||
| Alexis Fedoroff: Department of Civil and Structural Engineering, Aalto University, Rakentajanaukio 4 A, Otaniemi, Espoo, Finland Reijo Kouhia: Department of Engineering Design, Tampere University of Technology, Korkeakoulunkatu 10, 33720 Tampere, Finland | ||