TY - JOUR ID - 4141 TI - An analytical solution for bending, buckling, and free vibration of FG nanobeam lying on Winkler-Pasternak elastic foundation using different nonlocal higher order shear deformation beam theories JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Refaeinejad, V. AU - Rahmani, O. AU - Hosseini, S.A.H. AD - Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran. AD - Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran Y1 - 2017 PY - 2017 VL - 24 IS - 3 SP - 1635 EP - 1653 KW - Winkler-Pasternak elastic foundation KW - Nonlocal Higher order Shear Deformation Theories (HSDTs) KW - Functionally Graded (FG) nanobeam KW - Bending KW - buckling KW - free vibration DO - 10.24200/sci.2017.4141 N2 - In the present study, various Higher-order Shear Deformation beam Theories (HSDTs) are applied in order to achieve the exact analytical solution to bending, buckling, and free vibration of Functionally Graded (FG) nanobeam lying on the Winkler and Pasternak elastic foundations. HSDTs are those in which the eff ect of transverse shear strain is included. The displacement field of these theories involves a quadratic variationof transverse shear strains and stresses; hence, this hypothesis leads to the diminishing of transverse shear stresses at the top and bottom surfaces of a beam. Thus, necessarily, there is no need to use a shear correction factor in the HSDTs. Nanobeam has been made of FG materials in which the properties of these materials are changed through the thickness direction of nanobeam according to the power-law distribution. Hamilton's principle is used to derive the equation of motions and the related boundary conditions of simplysupported nanobeam. The present study shows that the stability and vibration behaviors of FG nanobeam are extremely dependent on the Winkler and Pasternak elastic foundation, gradient index, aspect ratio, and nonlocal parameter. The obtained results of the present study might be useful in the advanced fi eld of micro/nano electromechanical systems. UR - https://scientiairanica.sharif.edu/article_4141.html L1 - https://scientiairanica.sharif.edu/article_4141_b8db5364ea91c666d2bf8ba2e685f6b3.pdf ER -