Abstract
Free damped vibrations of a hinged–hinged Euler–Bernoulli beam subject to a constant axial force at its free end is investigated. The quintic nonlinear equation of motion is derived from Hamilton’s principle and then solved using the optimal auxiliary function method (OAFM). Our proposed procedure is highly efficient and controls the convergence of the solutions, ensuring an excellent accuracy after the first iteration. Numerical values are also obtained in order to validate the analytical results.
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Herisanu, N., Marinca, V., Chilibaru-Opritescu, C. (2021). An Approximate Analytical Solution of Transversal Oscillations with Quintic Nonlinearities. In: Herisanu, N., Marinca, V. (eds) Acoustics and Vibration of Mechanical Structures—AVMS 2019. Springer Proceedings in Physics, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-030-54136-1_4
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DOI: https://doi.org/10.1007/978-3-030-54136-1_4
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