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 dis- tributed 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 conver- gence of the proposed approach.
An enhanced exponential matrix approach aimed at the stability of piecewise beams on elastic foundation
RUOCCO, Eugenio;
2016
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 dis- tributed 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 conver- gence of the proposed approach.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
