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Approximate solutions to the set of equations for stability problems are searched by Variational Iteration Method with Generalized Lagrange Multipliers. It turns out that highly accurate approximate buckling loads of cantilever beams with variable section can be obtained in closed-form. Many novel closed-form solutions for critical load of such structures, which may serve as benchmark solutions, are presented.
Keywords beam theory, closed-form solutions, variational iteration method, buckling.
References  Elishakoff, I. Isis, 20 1 , , Zeitschrift Architekten und Ingineure in Hannover 35, Journal of Sound and Vibration, , , Journal of Sound and Vibration, , ,  Elishakoff, I. International Journal of Solids and Structures, 38 3 , —, Structures, 5, —, Fundamentals of functionally graded materials. IOM Communications Limited, Thin-Walled Structures, 46, ,, Journal of Mechanics of Materials and Structures, 1 8 , , Simple and accurate closed-form expressions. Composite Structures, 92, , International Journal of Engineering and Applied Sciences, 9 3 , , International Journal of Engineering and Applied Sciences, 8 2 , , Communications in Nonlinear Science and Numerical Simulation, 2, —, International Journal of Nonlinear Mechanics, 34, —, The Ebonics something of the cases sold order on Black English.
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