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Wave propagation in magneto-electro-elastic nanobeams via two nonlocal beam models |
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| Institution: | 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, PR China;2. School of Science, Hebei University of Architecture, Zhangjiakou 075000, PR China;1. Department of Structures for Engineering and Architecture, University of Naples Federico II, via Claudio 25, 80121 Naples, Italy;2. Department of Civil Engineering, University of Salerno, 84084 Fisciano (Sa), Italy;3. Department of Civil and Mechanical Engineering, University of Cassino and Southern Lazio, via G. Di Biasio 43, 03043 Cassino (FR), Italy;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics and Statistics, Faculty of Science, King Faisal University, P.O. Box 400, Hofuf 31982, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt |
| Abstract: | This paper makes the first attempt to investigate the dispersion behavior of waves in magneto-electro-elastic (MEE) nanobeams. The Euler nanobeam model and Timoshenko nanobeam model are developed in the formulation based on the nonlocal theory. By using the Hamilton’s principle, we derive the governing equations which are then solved analytically to obtain the dispersion relations of MEE nanobeams. Results are presented to highlight the influences of the thermo-electro-magnetic loadings and nonlocal parameter on the wave propagation characteristics of MEE nanobeams. It is found that the thermo-electro-magnetic loadings can lead to the occurrence of the cut-off wave number below which the wave can’t propagate in MEE nanobeams. |
| Keywords: | Wave propagation Magneto-electro-elastic nanobeam Nonlocal theory Cut-off wave number |
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