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Advances in Nano Research
  Volume 12, Number 3, March 2022 , pages 231-251
DOI: https://doi.org/10.12989/anr.2022.12.3.231
 


Dynamic analysis of functionally graded (FG) nonlocal strain gradient nanobeams under thermo-magnetic fields and moving load
Mashhour A. Alazwari, Ismail Esen, Alaa A. Abdelrahman, Azza M. Abdraboh and Mohamed A. Eltaher

 
Abstract
    Dynamic behavior of temperature-dependent Reddy functionally graded (RFG) nanobeam subjected to thermomagnetic effects under the action of moving point load is carried out in the present work. Both symmetric and sigmoid functionally graded material distributions throughout the beam thickness are considered. To consider the significance of strain-stress gradient field, a material length scale parameter (LSP) is introduced while the significance of nonlocal elastic stress field is considered by introducing a nonlocal parameter (NP). In the framework of the nonlocal strain gradient theory (NSGT), the dynamic equations of motion are derived through Hamilton's principle. Navier approach is employed to solve the resulting equations of motion of the functionally graded (FG) nanoscale beam. The developed model is verified and compared with the available previous results and good agreement is observed. Effects of through-thickness variation of FG material distribution, beam aspect ratio, temperature variation, and magnetic field as well as the size-dependent parameters on the dynamic behavior are investigated. Introduction of the magnetic effect creates a hardening effect; therefore, higher values of natural frequencies are obtained while smaller values of the transverse deflections are produced. The obtained results can be useful as reference solutions for future dynamic and control analysis of FG nanobeams reinforced nanocomposites under thermomagnetic effects.
 
Key Words
    higher-order shear theory; moving point load; nonlocal strain gradient nanobeams; symmetric and sigmoid FG; thermo-magnetic analysis; temperature-dependent material
 
Address
Mashhour A. Alazwari: Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia

Ismail Esen: Department of Mechanical Engineering, Karabuk University, Karabuk, Turkey

Alaa A. Abdelrahman: Mechanical Design and Prod. Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt

Azza M. Abdraboh: Physics Department, Faculty of Science, Benha University, Benha, Egypt

Mohamed A. Eltaher: Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia/ Physics Department, Faculty of Science, Benha University, Benha, Egypt
 

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