Su, Guang-Yuan ; Li, Ying-Xu ; Li, Xiang-Yu ; Müller, Ralf (2018)
Free and forced vibrations of nanowires on elastic substrates.
In: International Journal of Mechanical Sciences, 138-139
doi: 10.1016/j.ijmecsci.2018.01.039
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
This work aims to study the free and forced transverse vibrations of a nanowire on elastic substrate, in a systematic way. To this end, the governing equations are obtained from an updated mechanical model integrating the effects of surface and elastic substrate. The Winkler, Pasternak and Generalized substrate models are taken into consideration to characterize various substrates. The characteristic equations, mode shapes and effective Young’s moduli are determined for nanowires with three typical boundary conditions: simply supported, clamped-clamped and clamped-free. The Laplace transform is employed to derive the exact solutions for forced vibrations of the three typical nanowires. Numerical calculations are performed to validate the proposed solutions and to analyze the effects of surface and elastic substrates on the free and forced vibrations.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2018 |
| Autor(en): | Su, Guang-Yuan ; Li, Ying-Xu ; Li, Xiang-Yu ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Free and forced vibrations of nanowires on elastic substrates |
| Sprache: | Englisch |
| Publikationsjahr: | April 2018 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Mechanical Sciences |
| Jahrgang/Volume einer Zeitschrift: | 138-139 |
| DOI: | 10.1016/j.ijmecsci.2018.01.039 |
| URL / URN: | https://www.sciencedirect.com/science/article/pii/S002074031... |
| Kurzbeschreibung (Abstract): | This work aims to study the free and forced transverse vibrations of a nanowire on elastic substrate, in a systematic way. To this end, the governing equations are obtained from an updated mechanical model integrating the effects of surface and elastic substrate. The Winkler, Pasternak and Generalized substrate models are taken into consideration to characterize various substrates. The characteristic equations, mode shapes and effective Young’s moduli are determined for nanowires with three typical boundary conditions: simply supported, clamped-clamped and clamped-free. The Laplace transform is employed to derive the exact solutions for forced vibrations of the three typical nanowires. Numerical calculations are performed to validate the proposed solutions and to analyze the effects of surface and elastic substrates on the free and forced vibrations. |
| Freie Schlagworte: | Effective Young’s modulus, Elastic substrate, Nanowire, Surface effect, Vibration |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 03 Mai 2022 07:15 |
| Letzte Änderung: | 03 Mai 2022 07:15 |
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