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http://hdl.handle.net/11452/30217
Başlık: | A compact analytical method for vibration of micro-sized beams with different boundary conditions |
Yazarlar: | Uludağ Üniversitesi/Mühendislik Fakültesi/İnşaat Mühendisliği Bölümü. 0000-0003-2231-170X Yaylı, Mustafa Özgür AAJ-6390-2021 44661926700 |
Anahtar kelimeler: | Materials science Mechanics Boundary conditions Frequency determinant Microbeam Stokes’ transformation Couple stress theory Microstructure Hardness Analytical method Different boundary condition Free vibration behavior Frequency determinant Material length scale Micro beams Numerical results Spring parameters Vibration analysis |
Yayın Tarihi: | 15-Oca-2016 |
Yayıncı: | Taylor & Francis |
Atıf: | Yaylı, M. Ö. (2017). ''A compact analytical method for vibration of micro-sized beams with different boundary conditions". Mechanics of Advanced Materials and Structures, 24(6), 495-508. |
Özet: | In this article, a compact analytical method for vibration analysis of gradient elastic beams is presented to solve any combination of boundary conditions. The general frequency determinant for microbeams with general restraints are derived by using Stokes' transformation. The main advantage of this determinant is capability of considering any possible combination of boundary conditions. By assigning proper values to spring parameters in the general frequency determinant, the solutions can also be determined for the rigid boundary conditions. Numerical results are presented to investigate the influences the material length scale parameter, rotational, and translational springs on the free vibration behavior of microbeams. Some of the present results are compared with the previously published results to establish the validity of the present formulation. The microbeams with restrained boundary conditions exhibit significant size dependence when the length of the microbeam approaches to the material length scale parameter. |
URI: | https://doi.org/10.1080/15376494.2016.1143989 https://www.tandfonline.com/doi/full/10.1080/15376494.2016.1143989 1537-6532 http://hdl.handle.net/11452/30217 |
ISSN: | 1537-6494 |
Koleksiyonlarda Görünür: | Scopus Web of Science |
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