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Nonlocal vibration analysis of Ti-6Al-4V/ZrO2 functionally graded nanobeam on elastic matrix
- Source :
- Arabian Journal of Geosciences. 13
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
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. Research Support Funds Grant Purdue University Indiana University-Purdue University Indianapolis
- Subjects :
- Finite element method
Theoretical study
Nonlocal Elasticity
Strain Gradient
Nonlocal
010504 meteorology & atmospheric sciences
Boundary condition
010502 geochemistry & geophysics
Vibration
01 natural sciences
Power law
Nanoparticle
Parameter estimation
Winkler foundation
Boundary value problem
Ti 6al 4v
0105 earth and related environmental sciences
General Environmental Science
Matrix
Mathematical analysis
Equations of motion
Geology
Elasticity
Geosciences, multidisciplinary
General Earth and Planetary Sciences
Material properties
Beam (structure)
Subjects
Details
- ISSN :
- 18667538 and 18667511
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Arabian Journal of Geosciences
- Accession number :
- edsair.doi.dedup.....501beff6681bbd4b39c14786225567a4