Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11779/1892
Title: | Approximate Closed-Form Solutions for Vibration of Nano-Beams of Local/Non-local Mixture |
Authors: | Ruta, Giuseppe Eroğlu, Uğurcan |
Keywords: | Natural vibration Constitutive boundary conditions Nano-beams Perturbation methods Non-local elasticity |
Publisher: | Springer |
Source: | Eroğlu, U., & Ruta, G. (2022). Approximate closed-form solutions for vibration of nano-beams of local/non-local mixture. Meccanica, 57(12), 3033–3049. https://doi.org/10.1007/s11012-022-01612-7 |
Abstract: | This paper presents an approach to natural vibration of nano-beams by a linear elastic constitutive law based on a mixture of local and non-local contributions, the latter based on Eringen's model. A perturbation in terms of an evolution parameter lets incremental field equations be derived; another perturbation in terms of the non-local volume fraction yields the variation of the natural angular frequencies and modes with the 'small' amount of non-locality. The latter perturbation does not need to comply with the so-called constitutive boundary conditions, the physical interpretation of which is still debated. The possibility to find closed-form solutions is highlighted following a thorough discussion on the compatibility conditions needed to solve the steps of the perturbation hierarchy; some paradigmatic examples are presented and duly commented. |
URI: | https://hdl.handle.net/20.500.11779/1892 https://doi.org/10.1007/s11012-022-01612-7 |
ISSN: | 256455 |
Appears in Collections: | Makine Mühendisliği Bölümü Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
File | Description | Size | Format | |
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s11012-022-01612-7.pdf | Full Text - Article | 1.25 MB | Adobe PDF | ![]() View/Open |
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