Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Advances in Nano Research Volume 10, Number 3, March 2021 , pages 281-293 DOI: https://doi.org/10.12989/anr.2021.10.3.281 |
|
|
|
Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory |
||
Lazreg Hadji and Mehmet Avcar
|
||
| Abstract | ||
| This paper presents a new nonlocal Hyperbolic Shear Deformation Beam Theory (HSDBT) for the free vibration of porous Functionally Graded (FG) nanobeams. A new displacement field containing integrals is proposed which involves only three variables. The present model incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect and its account for shear deformation by a hyperbolic variation of all displacements through the thickness without using the shear correction factor. It has been observed that during the manufacture of Functionally Graded Materials (FGMs), micro-voids and porosities can occur inside the material. Thus, in this work, the investigation of the free vibration analysis of FG beams taking into account the influence of these imperfections is established. Four different porosity types are considered for FG nanobeam. Material characteristics of the FG beam are supposed to vary continuously within thickness direction according to a power-law scheme which is modified to approximate material characteristics for considering the influence of porosities. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the nanobeam are derived using Hamilton's principle. The effects of nonlocal parameter, aspect ratio, and the porosity types on the dynamic responses of the nanobeam are discussed. | ||
| Key Words | ||
| free vibration; nonlocal theory; FGMs; porosity; nanobeam; HSDBT | ||
| Address | ||
| (1) Lazreg Hadji: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria; Department of Mechanical Engineering, University of Tiaret, BP 78 Zaaroura, Tiaret 14000, Algeria (2) Mehmet Avcar: Department of Civil Engineering, Suleyman Demirel University, Isparta, Turkey | ||