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

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  • Ruocco, Eugenio
  • Mallardo, Vincenzo

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.

Suggested Citation

  • Ruocco, Eugenio & Mallardo, Vincenzo, 2016. "An enhanced exponential matrix approach aimed at the stability of piecewise beams on elastic foundation," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 8-25.
    • Handle: RePEc:eee:apmaco:v:285:y:2016:i:c:p:8-25
    DOI: 10.1016/j.amc.2016.03.020
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    Cited by:

    1. Ruocco, Eugenio & Mallardo, Vincenzo, 2019. "Buckling and vibration analysis nanoplates with imperfections," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 282-296.

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