Differential Transformation Method for Buckling Behaviour of a Nonlinear Beam

C.-L. Chen, W.-Z. Yeh, and M.-J. Jang (Taiwan)


differential transformation, boundary value problem,nonlinear beam, nonlinear buckling.


In this paper, the differential transformation method with a systematic procedure is applied to solve nonlinear two-point boundary value problems in solid mechanics. Two types of nonlinear boundary value problem are considered in this study, i.e., the deflective of a tip-loaded nonlinear cantilever beam, and the nonlinear buckling of a simply supported beam without and with imperfection. The results show that the solutions solved by differential transformation in comparison with exact solutions can enhance the computational efficiency and accuracy for different cases studied in solid mechanics

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