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Steel and Composite Structures Volume 37, Number 5, December10 2020 , pages 551-569 DOI: https://doi.org/10.12989/scs.2020.37.5.551 |
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Nonlocal-integro-vibro analysis of vertically aligned monolayered nonuniform FGM nanorods |
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Yuan Yuan, Ke Zhao, Yafei Zhao and Keivan Kiani
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Abstract | ||
Vibration of vertically aligned-monolayered-nonuniform nanorods consist of functionally graded materials with elastic supports has not been investigated yet. To fill this gap, the problem is examined using the elasticity theories of Eringen and Gurtin-Murdoch. The geometrical and mechanical properties of the surface layer and the bulk are allowed to vary arbitrarily across the length. The nonlocal-surface energy-based governing equations are established using differential-type and integro-type formulations, and solved by employing the Galerkin method by exploiting admissible modes approach and element-free Galerkin (EFG). Through various comparison studies, the effectiveness of the EFG in capturing both nonlocal-differential/integro-based frequencies is proved. A constructive parametric study is also conducted, and the roles of nanorods' diameter, length, stiffness of both inter-rod's elastic layer and elastic supports, power-law index of both constituent materials and geometry, nonlocal and surface effects on the dominant frequencies are revealed. | ||
Key Words | ||
axial vibration; vertically aligned-monolayered-nanorods; functionally graded materials (FGMs); nonlocal-integro-based model; surface energy; element-free Galerkin | ||
Address | ||
Yuan Yuan, Ke Zhao and Yafei Zhao: School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xi'an, P.O. Box 710048, China Keivan Kiani: Department of Civil Engineering, K.N. Toosi University of Technology, Valiasr Ave., P.O. Box 15875-4416, Tehran, Iran | ||