Abstract

This paper undertakes the passive nonlinear vibration analysis of a directly excited composite cantilever beam modeled as an inextensible Euler-Bernoulli beam. The composite beam consists of two elastic layers of high-carbon steel sandwiched together through a viscoelastic layer of carbon nanotube (CNT)-epoxy mixture. The resulting viscoelastic damping is modeled as Kelvin-Voigt damping model, with the nonlinearities present due to inextensibility assumption. In order to study the system response characteristics, the method of multiple scales is employed to arrive at the modulation equations and the closed-loop frequency response function. Such analytically-derived frequency response is experimentally verified through harmonic force excitation of samples of CNT-reinforced composite beams. The results demonstrate that increasing the excitation amplitude or decreasing damping ratio can cause a minor decrease in the nonlinear resonance frequency despite the significant increase in the amplitude of vibration due to reduced damping.

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