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• W2058642877 abstract "non-linear vibration analysis of beam used in steel structures is of particular importance in mechanical and industrial applications. To achieve a proper design of the beam structures, it is essential to realize how the beam vibrates in its transverse mode which in turn yields the natural frequency of the system. Equation of transversal vibration of hinged–hinged flexible beam subjected to constant excitation at its free end is identified as a non-linear differential equation. The quintic non-linear equation of motion is derived based on Hamilton’s principle and solved by means of an analytical technique, namely the Homotopy analysis method. To verify the soundness of the results, a comparison between analytical and numerical solutions is developed. Finally, to express the impact of the quintic nonlinearity, the non-linear responses obtained by HAM are compared with the results from usual beam theory." @default.
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• W2058642877 date "2012-09-01" @default.
• W2058642877 modified "2023-09-30" @default.
• W2058642877 title "An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method" @default.
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• W2058642877 doi "https://doi.org/10.1016/j.ijnonlinmec.2012.04.008" @default.
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