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Nonlinear Dynamic Response of Nanocomposite Cantilever Beams

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New Trends in Nonlinear Dynamics


The nonlinear dynamic response of carbon nanotube (CNT) nanocomposite cantilevers is experimentally and theoretically investigated. Nanocomposite cantilevers made of a thermoplastic polymer and high aspect ratio CNTs are subject to a primary resonance base excitation. The experimentally obtained frequency-response curves highlight the effects of the CNT/polymer stick-slip energy dissipation on the nonlinear macroscopic dynamic response of the nanocomposite beams. The hysteresis arising from the nanostructural stick-slip gives rise to a change of nonlinearity dominated by the flexural curvature hardening effect towards a softening behavior at low amplitudes. The CNT/polymer frictional sliding hysteresis is here described by a hysteretic restoring force in the context of the nonlinear Euler–Bernoulli beam theory. An initial parametric analysis shows the capability of the model to capture qualitatively the softening–hardening frequency response trend.

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The research leading to these results was supported by the European Research Council under the EU Seventh Framework Program (FP/2007-2013)/ERC Grant Agreement n. 308261 and by the European Office of Aerospace Research and Development/Air Force Office of Scientific Research Grant (Grant N. FA9550-141-0082 DEF).

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Correspondence to Michela Talò .

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Talò, M., Carboni, B., Formica, G., Lanzara, G., Snyder, M., Lacarbonara, W. (2020). Nonlinear Dynamic Response of Nanocomposite Cantilever Beams. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) New Trends in Nonlinear Dynamics. Springer, Cham.

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