Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/29795
Title: Nonlocal vibration analysis of Ti-6Al-4V/ZrO2 functionally graded nanobeam on elastic matrix
Authors: Bursa Uludağ Üniversitesi/Mühendislik Fakültesi/İnşaat Mühendisliği.
0000-0003-2231-170X
0000-0002-7636-7170
Uzun, Büşra
Yaylı, Mustafa Özgür
ABE-6914-2020
AAJ-6390-2021
57208629064
44661926700
Keywords: Geology
Boundary condition
Elasticity
Finite element method
Matrix
Nanoparticle
Parameter estimation
Theoretical study
Vibration
Winkler foundation
Issue Date: 22-Jan-2020
Publisher: Springer
Citation: Uzun, B. ve Yaylı, M. Ö. (2020). "Nonlocal vibration analysis of Ti-6Al-4V/ZrO2 functionally graded nanobeam on elastic matrix". Arabian Journal of Geosciences, 13(4).
Abstract: In the present study, a nonlocal finite element method (FEM) is proposed to investigate the free vibration of functionally graded (FG) nanobeams resting on two parameters, the Winkler–Pasternak elastic foundation. Using the Eringen’s nonlocal elasticity theory, the Euler–Bernoulli beam model is implemented. The equations of motion are obtained by using Hamilton’s principle. Material properties of the beam vary in the thickness (height) direction based on the power law. The frequencies of functionally graded nanobeam are obtained for simply supported (S-S) boundary conditions with various values of power law exponent, small-scale (nonlocal) parameter, Winkler foundation parameter, and Pasternak foundation parameter. Vibration response of nano-scaled functionally graded beam resting on the Winkler–Pasternak elastic foundation is investigated via the nonlocal finite element method. A comparison of the numerical results of the present study with those from the open literature demonstrates a good agreement. Also, the difference between classical elasticity theory and nonlocal elasticity theory is discussed in this study.
URI: https://doi.org/10.1007/s12517-020-5168-4
https://link.springer.com/article/10.1007/s12517-020-5168-4
http://hdl.handle.net/11452/29795
ISSN: 1866-7511
Appears in Collections:Scopus
Web of Science

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