Non-local free and forced vibrations of graded nanobeams resting on a non-linear elastic foundation
作者： Sami El-Borgi , Ralston Fernandes , J.N. Reddy
DOI: 10.1016/J.IJNONLINMEC.2015.09.013
关键词:
摘要: Abstract We consider in this paper the free and forced vibration response of simply-supported functionally graded (FG) nanobeams resting on a non-linear elastic foundation. The two-constituent Functionally Graded Material (FGM) is assumed to follow power-law distribution through beam thickness. Eringen׳s non-local elasticity model with material length scales used conjunction Euler–Bernoulli theory von Karman geometric non-linearity that accounts for moderate rotations. Non-linear natural frequencies FG are obtained using He׳s Variational Iteration Method (VIM) direct discretized Multiple Scales (MMS), while primary resonance analysis an externally nanobeam performed only MMS. effects parameter, index, parameters foundation frequency-response investigated.
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