Since 1963
ARTICLE
Free vibration analysis of FGM stepped nanostructures using nonlocal dynamic stiffness model
1
Hanoi University of Civil Engineering, Vietnam
2
Fujita Corporation, Vietnam
3
Le Quy Don Technical University, Vietnam
Submission date: 2021-10-06
Final revision date: 2022-03-15
Acceptance date: 2022-03-25
Online publication date: 2022-04-26
Publication date: 2022-04-30
Corresponding author
Tran Van Lien
Faculty of Building and Industrial Construction, National University of Civil Engineering, Tran Van Lien, Hai Ba Trung. Ha Noi, Viet Nam, 11600, Ha Noi, Viet Nam
Faculty of Building and Industrial Construction, National University of Civil Engineering, Tran Van Lien, Hai Ba Trung. Ha Noi, Viet Nam, 11600, Ha Noi, Viet Nam
Journal of Theoretical and Applied Mechanics 2022;60(2):279-292
KEYWORDS
TOPICS
solid mechanicsstability and vibrations systemsmechanics of materialsnanomechanicscomputational mechanicsstructures mechanicsmechanics of composites
ABSTRACT
A nonlocal Dynamic Stiffness Model (DSM) for free vibration analysis of Functionally
Graded Material (FGM) stepped nanostructures based on the Nonlocal Elastic Theory
(NET) is proposed. An exact solution to the equation of motion of a nanobeam element
according to the Timoshenko beam theory, NET, and taking into account position of the
neutral axis is constructed. Nondimensional frequencies and mode shapes of complete FGM
stepped nanostructures are easily obtained using the nonlocal DSM. Numerical results are
presented to show significance of the material distribution profile, nonlocal effect, and boundary
conditions on free vibration of nanostructures.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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