An enhanced exponential matrix approach aimed at the stability of piecewise beams on elastic foundation

Eugenio Ruocco and Vincenzo Mallardo

Applied Mathematics and Computation, 2016, vol. 285, issue C, 8-25

Abstract: In this paper, an enhanced exponential collocation method for the stability assessment of piecewise beams resting on elastic foundation and subjected to both non-uniform distributed and concentrated loads is presented. The exponential basis functions usually adopted in literature are enriched with trigonometric functions that make the eigenvalue analysis well-posed without reducing the original simplicity of the method. A measure of the error occurring from the proposed approach and its improvement are also proposed. Several examples aimed at estimating the buckling loads under typical end supports are discussed. A comparison with exact and with other numerical results that are available in literature are carried out. Such a comparison shows the high accuracy and the fast convergence of the proposed approach.

Keywords: Buckling; Exponential Matrix Method; Computational methods (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:285:y:2016:i:c:p:8-25

DOI: 10.1016/j.amc.2016.03.020

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