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Steel and Composite Structures Volume 44, Number 2, July 2022 , pages 255-270 DOI: https://doi.org/10.12989/scs.2022.44.2.255 |
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Effect of moving load on dynamics of nanoscale Timoshenko CNTs embedded in elastic media based on doublet mechanics theory |
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A. Abdelrahman, Rabab A. Shanab, Ismail Esen and Mohamed A. Eltaher
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| Abstract | ||
| This manuscript illustrates the dynamic response of nanoscale carbon nanotubes (CNTs) embedded in an elastic media under moving load using doublet mechanics theory, which not considered before. CNTs are modelled by Timoshenko beam theory (TBT) and a bottom to up modelling nano-mechanics is simulated by doublet mechanics theory to capture the size effect of CNTs. To explore the influence of the CNTs configurations on the dynamic behaviour, both armchair and zigzag configurations are considered. The governing equations of motion and the associated boundary conditions are obtained using the Hamiltonian principle. The Navier solution methodology is applied to obtain the solutions for both orientations. Free vibration and forced response under moving loads are considered. The accuracy of the developed procedure is verified by comparing the obtained results with available previous algorithms and good agreement is observed. Parametric studies are conducted to demonstrate effects of doublet length scale, CNTs configurations, moving load velocities as well as the elastic media parameters on the dynamic behaviours of CNTs. The developed procedure is supportive in the design and manufacturing of MEMS/NEMS made from CNTs. | ||
| Key Words | ||
| armchair and zigzag CNTs; doublet mechanics theory; dynamic behaviour; elastic media; moving loads; navier method | ||
| Address | ||
| A. Abdelrahman:Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt Rabab A. Shanab:Engineering Mathematics Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt Ismail Esen:Department of Mechanical Engineering, Karabuk University, Karabuk, Turkey Mohamed A. Eltaher:1)Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia 2)Design and Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt | ||