Abstract
The nonlinear dynamics of a beam embedded in a viscoelastic continuous medium is considered. The beam undergoes large deflections induced by an axial harmonic excitation. The non-dimensional equation of motion describing the problem is approximated by a Duffing–Mathieu equation. Some analytical and numerical results are reported.
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Babilio, E. (2020). The Duffing–Mathieu Equation Arising from Dynamics of Post-Buckled Beams. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics of Structures, Systems and Devices. Springer, Cham. https://doi.org/10.1007/978-3-030-34713-0_27
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DOI: https://doi.org/10.1007/978-3-030-34713-0_27
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