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http://dx.doi.org/10.5762/KAIS.2014.15.2.1109

Nonlocal elasticity effects on free vibration properties of sigmoid functionally graded material nano-scale plates  

Kim, Woo-Jung (Department of Civil Engineering, Gyeongnam National University of Science and Technology)
Lee, Won-Hong (Department of Civil Engineering, Gyeongnam National University of Science and Technology)
Park, Weon-Tae (Division of Construction and Environmental Engineering, Kongju National University)
Han, Sung-Cheon (Department of Civil & Railroad Engineering, Daewon University College)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.15, no.2, 2014 , pp. 1109-1117 More about this Journal
Abstract
We study free vibration analysis of sigmoid functionally graded materials(S-FGM) nano-scale plates, using a nonlocal elasticity theory of Eringen in this paper. This theory has ability to capture the both small scale effects and sigmoid function in terms of the volume fraction of the constituents for material properties through the plate thickness. Numerical solutions of S-FGM nano-scale plate are presented using this theory to illustrate the effect of nonlocal theory on natural frequency of the S-FGM nano-scale plates. The relations between nonlocal and local theories are discussed by numerical results. Further, effects of (i) power law index (ii) nonlocal parameters, (iii) elastic modulus ratio and (iv) thickness and aspect ratios on nondimensional frequencies are investigated. In order to validate the present solutions, the reference solutions are compared and discussed. The results of S-FGM nano-scale plates using the nonlocal theory may be the benchmark test for the free vibration analysis.
Keywords
Nonlocal elasticity theory; Sigmoid functionally graded material(S-FGM); Power law index; Free vibration analysis; Nano-scale plates;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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