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Smart Structures and Systems Volume 28, Number 4, October 2021 , pages 515-533 DOI: https://doi.org/10.12989/sss.2021.28.4.515 |
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Dynamics of perforated higher order nanobeams subject to moving load using the nonlocal strain gradient theory |
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Alaa A. Abdelrahman, Ismail Esen, Cevat Özarpa, Ramy Shaltout, Mohamed A. Eltaher and Amr E. Assie
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| Abstract | ||
| The goal of this manuscript is to develop a nonclassical size dependent model to study and analyze the dynamic behaviour of the perforated Reddy nanobeam under moving load including the length scale and microstructure effects, that not considered before. The kinematic assumption of the third order shear deformation beam theory in conjunction with modified continuum constitutive equation of nonlocal strain gradient (NLSG) elasticity are proposed to derive the equation of motion of nanobeam included size scale (nonlocal) and microstructure (strain gradient) effects. Mathematical expressions for the equivalent geometrical parameters due to the perforation process of regular squared pattern are developed. Based on the virtual work principle, the governing equations of motion of perforated Reddy nanobeams are derived. Based on Navier's approach, an analytical solution procedure is developed to obtain free and forced vibration response under moving load. The developed methodology is verified and checked with previous works. Impacts of perforation, moving load velocity, microstructure parameter and nonlocal size scale effects on the dynamic and vibration responses of perforated Reddy nanobeam structures have been investigated in a wide context. The obtained results are supportive for the design of MEMS/NEMS structures such as frequency filters, resonators, relay switches, accelerometers, and mass flow sensors, with perforation. | ||
| Key Words | ||
| analytical solution; dynamic analysis of moving load; higher order shear deformation; nonlocal strain gradient theory; perforated nanobeam | ||
| Address | ||
| (1) Alaa A. Abdelrahman: Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt; (2) Ismail Esen, Cevat Özarpa: Department of Mechanical Engineering, Karabuk University, Karabuk, Turkey; (3) Ramy Shaltout: Mechanical Power Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt; (4) Ramy Shaltout: Transportation Research Centre- German University in Cairo (GUC), Egypt; (5) Mohamed A. Eltaher: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia; (6) Amr E. Assie: Mechanical Engineering Department, Faculty of Engineering, Jazan University, P.O. Box 45142, Jazan, Kingdom of Saudi Arabia; (7) Mohamed A. Etaher, Amr E. Assie: Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt. | ||