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

作者:

Highlights:

摘要

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.

论文关键词:Buckling,Exponential Matrix Method,Computational methods

论文评审过程:Received 5 October 2015, Revised 25 January 2016, Accepted 14 March 2016, Available online 6 April 2016, Version of Record 6 April 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.03.020