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Free vibration of a piezoelectric nanobeam resting on nonlinear Winkler-Pasternak foundation by quadrature methods

This work introduces a numerical scheme for free vibration analysis of elastically supported piezoelectric nanobeam. Based on Hamilton principle, governing equations of the problem are derived. The problem is formulated for linear and nonlinear Winkler–Pasternak foundation type. Three differential q...

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Vydáno v:Heliyon
Hlavní autoři: Ragb, Ola, Mohamed, Mokhtar, Matbuly, M.S.
Médium: Artigo
Jazyk:Inglês
Vydáno: Elsevier 2019
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On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC6562151/
https://ncbi.nlm.nih.gov/pubmed/31211259
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1016/j.heliyon.2019.e01856
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