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

DOI10.1016/J.AMC.2016.03.020zbMath1410.74030OpenAlexW2323898416MaRDI QIDQ1733472

Vincenzo Mallardo, Eugenio Ruocco

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.020

zbMATH Keywords

bucklingcomputational methodsexponential matrix method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (1)

Buckling and vibration analysis nanoplates with imperfections

Cites Work

• Unnamed Item
• Solution of the delayed single degree of freedom system equation by exponential matrix method
• A simple method to determine the critical buckling loads for axially inhomogeneous beams with elastic restraint
• Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method
• Buckling and post-buckling analysis of extensible beam-columns by using the differential quadrature method
• Collocation method and residual correction using Chebyshev series
• Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
• An exponential matrix method for solving systems of linear differential equations

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