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http://dx.doi.org/10.12989/scs.2019.32.2.281

The application of nonlocal elasticity to determine vibrational behavior of FG nanoplates  

Fattahi, A.M. (Department of Mechanical Engineering, Tabriz Branch, Islamic Azad University)
Safaei, Babak (Department of Mechanical Engineering, Tsinghua University)
Moaddab, Elham (Seraj Institute of Higher Education)
Publication Information
Steel and Composite Structures / v.32, no.2, 2019 , pp. 281-292 More about this Journal
Abstract
Nonlocal elasticity and Reddy plant theory are used to study the vibration response of functionally graded (FG) nanoplates resting on two parameters elastic medium called Pasternak foundation. Nonlocal higher order theory accounts for the effects of both scale and the effect of transverse shear deformation, which becomes significant where stocky and short nanoplates are concerned. It is assumed that the properties of FG nanoplate follow a power law through the thickness. In addition, Poisson's ratio is assumed to be constant in this model. Both Winkler-type and Pasternak-type foundation models are employed to simulate the interaction of nanoplate with surrounding elastic medium. Using Hamilton's principle, size-dependent governing differential equations of motion and corresponding boundary conditions are derived. A differential quadrature approach is being utilized to discretize the model and obtain numerical solutions for various boundary conditions. The model is validated by comparing the results with other published results.
Keywords
vibration; functionally graded nanoplate; nonlocal theory; elastic foundation;
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Times Cited By KSCI : 2  (Citation Analysis)
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