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

作者：Ruocco Eugenio^*; Mallardo Vincenzo

来源：Applied Mathematics and Computation, 2016, 285: 8-25.

DOI：10.1016/j.amc.2016.03.020

• Buckling
• Exponential Matrix Method
• Computational methods

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.

• 出版日期2016-7-20